Номер 4.21, страница 136 - гдз по алгебре 8 класс учебник Шыныбеков, Шыныбеков

Алгебра, 8 класс Учебник, авторы: Шыныбеков Абдухали Насырович, Шыныбеков Данияр Абдухалиевич, Жумабаев Ринат Нурланович, издательство Атамұра, Алматы, 2018

Авторы: Шыныбеков А. Н., Шыныбеков Д. А., Жумабаев Р. Н.

Тип: Учебник

Издательство: Атамұра

Год издания: 2018 - 2026

ISBN: 978-601-331-160-9, 978-601-331-162-3

Рекомендовано Министерством образования и науки Республики Казахстан

Раздел 4. Элементы статистики. 4.1. Графическое представление случайной выборки - номер 4.21, страница 136.

App\Models\Task {#1030 // resources/views/models/task/default.blade.php
  #connection: "mysql"
  #table: "tasks"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:24 [
    "id" => 1102929
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "136"
    "field_page_end" => null
    "field_url" => "/8-klass/algebra/shynybekov-uchebnik/4-1-21"
    "field_display_title" => "4.21"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037
      #items: array:1 [
        0 => App\Models\Term {#1036
          #connection: "mysql"
          #table: "terms"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
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          #attributes: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
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              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #original: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
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              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
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            0 => "*"
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      #escapeWhenCastingToString: false
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    "field_description_top" => null
    "field_description_bottom" => null
    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035
      #items: []
      #escapeWhenCastingToString: false
    }
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046
      #items: array:1 [
        0 => App\Models\Branch {#1045
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
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          #attributes: array:24 [
            "id" => 1102364
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Элементы статистики"
            "field_branch_order" => "4"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1050
              #items: array:1 [
                0 => App\Models\Term {#1047
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
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                  #attributes: array:7 [
                    "id" => 30
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Раздел"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Раздел"
                      "field_creative_case" => "Разделом"
                      "field_dative_case" => "Разделу"
                      "field_genitive_case" => "Раздела"
                      "field_nominative_case" => "Раздел"
                      "field_prepositional_case" => "Разделе"
                    ]
                    "field_page_check_not_needed" => null
                    "field_short_name" => null
                  ]
                  #original: array:7 [
                    "id" => 30
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Раздел"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Раздел"
                      "field_creative_case" => "Разделом"
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                      "field_genitive_case" => "Раздела"
                      "field_nominative_case" => "Раздел"
                      "field_prepositional_case" => "Разделе"
                    ]
                    "field_page_check_not_needed" => null
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                  ]
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            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1058
              #items: array:1 [
                0 => App\Models\Book {#1057
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 2602
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1062
                      #items: array:1 [
                        0 => App\Models\Term {#1059
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 6471
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Алгебра"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "алгебру"
                              "field_creative_case" => "алгеброй"
                              "field_dative_case" => "алгебре"
                              "field_genitive_case" => "алгебры"
                              "field_nominative_case" => "алгебра"
                              "field_prepositional_case" => "алгебре"
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "algebra"
                          ]
                          #original: array:10 [
                            "id" => 6471
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Алгебра"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "алгебру"
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                              "field_genitive_case" => "алгебры"
                              "field_nominative_case" => "алгебра"
                              "field_prepositional_case" => "алгебре"
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "algebra"
                          ]
                          #changes: []
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                          #hidden: []
                          #visible: []
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                          #guarded: array:1 [
                            0 => "*"
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                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1064
                      #items: array:1 [
                        0 => App\Models\Term {#1061
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "восьмой"
                              "field_creative_case" => "восьмым"
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                              "field_genitive_case" => "восьмого"
                              "field_nominative_case" => "восьмой"
                              "field_prepositional_case" => "восьмом"
                            ]
                            "field_translit" => "vosmoj"
                          ]
                          #original: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [
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                              "field_genitive_case" => "восьмого"
                              "field_nominative_case" => "восьмой"
                              "field_prepositional_case" => "восьмом"
                            ]
                            "field_translit" => "vosmoj"
                          ]
                          #changes: []
                          #casts: []
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                          #dateFormat: null
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                      ]
                      #escapeWhenCastingToString: false
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1066
                      #items: array:1 [
                        0 => App\Models\Term {#1063
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #with: []
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                            "id" => 6991
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_translit" => "atamu'ra"
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                          #original: array:6 [
                            "id" => 6991
                            "created_at" => "2026-04-10 13:58:26"
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                            "field_translit" => "atamu'ra"
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                      ]
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                    "field_author" => Illuminate\Database\Eloquent\Collection {#1069
                      #items: array:3 [
                        0 => App\Models\Term {#1065
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Шыныбеков"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
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                          #original: array:12 [
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                        }
                        1 => App\Models\Term {#1067
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                            "created_at" => "2026-04-10 13:58:26"
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                            "field_name" => "Данияр"
                            "field_patronymic" => "Абдухалиевич"
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                          #connection: "mysql"
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                          #primaryKey: "id"
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                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Жумабаев"
                            "field_bio" => null
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                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
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                            "field_name" => "Ринат"
                            "field_patronymic" => "Нурланович"
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                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1070
                      #items: []
                      #escapeWhenCastingToString: false
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                        0 => App\Models\Term {#1068
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #perPage: 15
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                          #attributes: array:10 [
                            "id" => 6671
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Учебник"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "учебник"
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                              "field_genitive_case" => "учебника"
                              "field_nominative_case" => "учебник"
                              "field_prepositional_case" => "учебнике"
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                            "field_translit" => "uchebnik"
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                            "name" => "Учебник"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "учебник"
                              "field_creative_case" => "учебником"
                              "field_dative_case" => "учебнику"
                              "field_genitive_case" => "учебника"
                              "field_nominative_case" => "учебник"
                              "field_prepositional_case" => "учебнике"
                            ]
                            "field_plural_form" => null
                            "field_short_name" => null
                            "field_short_name_foreign" => null
                            "field_translit" => "uchebnik"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1075
                      #items: array:1 [
                        0 => App\Models\Term {#1072
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 6994
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Казахстан"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "kazakhstan"
                          ]
                          #original: array:6 [
                            "id" => 6994
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Казахстан"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "kazakhstan"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1077
                      #items: array:1 [
                        0 => App\Models\Term {#1074
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 6995
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Алматы"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "almaty"
                          ]
                          #original: array:6 [
                            "id" => 6995
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Алматы"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "almaty"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1076
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1071
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1078
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1079
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1080
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1081
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2018"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебник для 8 класса общеобразовательной школы"
                    "field_allowed" => "Рекомендовано Министерством образования и науки Республики Казахстан"
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "769"
                    "field_priority" => "6"
                    "field_default_folder" => "/algebra_08/shynybekov-u18/"
                    "field_isbn" => "978-601-331-160-9, 978-601-331-162-3"
                    "field_cover" => array:1 [
                      0 => "/media/algebra_08/shynybekov-u18/covers/cover1.webp?ts=1752087070"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/algebra_08/shynybekov-u18/covers/cover1.webp?ts=1752087070"
                        "alt" => ""
                        "width" => "1967"
                        "height" => "2468"
                      ]
                    ]
                    "field_popular_book" => null
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1082
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1083
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1084
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/8-klass/algebra/shynybekov-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1085
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 542
                      "class_subject" => 385
                    ]
                  ]
                  #original: array:50 [
                    "id" => 2602
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1062}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1064}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1066}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1069}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1070}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1073}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1075}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1077}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1076}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1071}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1078}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1079}
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1080}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1081}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2018"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебник для 8 класса общеобразовательной школы"
                    "field_allowed" => "Рекомендовано Министерством образования и науки Республики Казахстан"
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "769"
                    "field_priority" => "6"
                    "field_default_folder" => "/algebra_08/shynybekov-u18/"
                    "field_isbn" => "978-601-331-160-9, 978-601-331-162-3"
                    "field_cover" => array:1 [
                      0 => "/media/algebra_08/shynybekov-u18/covers/cover1.webp?ts=1752087070"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/algebra_08/shynybekov-u18/covers/cover1.webp?ts=1752087070"
                        "alt" => ""
                        "width" => "1967"
                        "height" => "2468"
                      ]
                    ]
                    "field_popular_book" => null
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1082}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1083}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1084}
                    "field_url" => "/8-klass/algebra/shynybekov-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1085}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 542
                      "class_subject" => 385
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1048
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1102364
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Элементы статистики"
            "field_branch_order" => "4"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1050}
            "field_page_start" => "126"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1058}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1048}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1108
      #items: array:2 [
        0 => App\Models\Branch {#1116
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1102364
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Элементы статистики"
            "field_branch_order" => "4"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1117
              #items: array:1 [
                0 => App\Models\Term {#1047}
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "126"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1118
              #items: array:1 [
                0 => App\Models\Book {#1057}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1119
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1102364
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Элементы статистики"
            "field_branch_order" => "4"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1117}
            "field_page_start" => "126"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1118}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1119}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Branch {#1120
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1102365
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "4.1. Графическое представление случайной выборки"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1121
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "126"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1122
              #items: array:1 [
                0 => App\Models\Book {#1057}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1123
              #items: array:1 [
                0 => App\Models\Branch {#1045}
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1102365
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "4.1. Графическое представление случайной выборки"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1121}
            "field_page_start" => "126"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1122}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1123}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1105
      #items: array:3 [
        0 => App\Models\Element {#1098
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 1266237
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1088
              #items: array:1 [
                0 => App\Models\Edition {#1090
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 4942
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие (рус)"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1055
                      #items: array:1 [
                        0 => App\Models\Term {#1063}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_content_type" => "free"
                    "field_content_mode" => "image"
                    "field_page_content_mode" => "image"
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "pyc0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1051
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1053
                      #items: []
                      #escapeWhenCastingToString: false
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                    "field_content_source" => null
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                        "height" => 2540
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              #items: array:5 [
                0 => App\Models\Task {#1214
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                  #table: "tasks"
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                  #keyType: "int"
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                  #withCount: []
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                        1 => App\Models\Branch {#1120}
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                    "content" => Illuminate\Database\Eloquent\Collection {#1221
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                        0 => App\Models\Element {#1230
                          #connection: "mysql"
                          #table: "elements"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: true
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
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                          +timestamps: true
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                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        1 => App\Models\Element {#1232
                          #connection: "mysql"
                          #table: "elements"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: true
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
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                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        2 => App\Models\Element {#1234
                          #connection: "mysql"
                          #table: "elements"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: true
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1102928"
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                    ]
                    "previous" => array:2 [
                      "refs" => "1102926"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1227
                      #items: array:1 [
                        0 => App\Models\Book {#1057}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1104810"
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                    "id" => 1102927
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                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#1220
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1102928
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "136"
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                    "field_url" => "/8-klass/algebra/shynybekov-uchebnik/4-1-20"
                    "field_display_title" => "4.20"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1219
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
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                    }
                    "field_metatags_title" => null
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                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1228
                      #items: array:1 [
                        0 => App\Models\Branch {#1116}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1224
                      #items: array:2 [
                        0 => App\Models\Branch {#1116}
                        1 => App\Models\Branch {#1120}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1223
                      #items: array:3 [
                        0 => App\Models\Element {#1244
                          #connection: "mysql"
                          #table: "elements"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: true
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                           …22
                        }
                        1 => App\Models\Element {#1246 …30}
                        2 => App\Models\Element {#1248 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
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                    "book" => Illuminate\Database\Eloquent\Collection {#1241
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                        0 => App\Models\Book {#1057}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
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                    "next" => array:2 [
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                    0 => "*"
                  ]
                }
                2 => App\Models\Task {#1225
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1222
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
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                    }
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1240
                      #items: []
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                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1242
                      #items: array:1 [
                        0 => App\Models\Branch {#1116}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1238
                      #items: array:2 [
                        0 => App\Models\Branch {#1116}
                        1 => App\Models\Branch {#1120}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1236
                      #items: array:3 [
                        0 => App\Models\Element {#1098}
                        1 => App\Models\Element {#1096}
                        2 => App\Models\Element {#1097}
                      ]
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                    "next" => array:2 [
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                    "book" => Illuminate\Database\Eloquent\Collection {#1239
                      #items: array:1 [
                        0 => App\Models\Book {#1057}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
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                    "next" => array:2 [
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                    "book" => Illuminate\Database\Eloquent\Collection {#1239}
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                    0 => "*"
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                3 => App\Models\Task {#1237
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1250
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                        0 => App\Models\Term {#1036}
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                      #escapeWhenCastingToString: false
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1251
                      #items: []
                      #escapeWhenCastingToString: false
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                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1252
                      #items: array:1 [
                        0 => App\Models\Branch {#1116}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1253
                      #items: array:2 [
                        0 => App\Models\Branch {#1116}
                        1 => App\Models\Branch {#1120}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1256
                      #items: array:3 [
                        0 => App\Models\Element {#1265 …30}
                        1 => App\Models\Element {#1267 …30}
                        2 => App\Models\Element {#1269 …30}
                      ]
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                    }
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                    "book" => Illuminate\Database\Eloquent\Collection {#1262
                      #items: array:1 [
                        0 => App\Models\Book {#1057}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
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                    "book" => Illuminate\Database\Eloquent\Collection {#1262}
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                    0 => "*"
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                4 => App\Models\Task {#1255
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
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                        0 => App\Models\Branch {#1116}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1259
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                        0 => App\Models\Branch {#1116}
                        1 => App\Models\Branch {#1120}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1258
                      #items: array:3 [
                        0 => App\Models\Element {#1279 …30}
                        1 => App\Models\Element {#1281 …30}
                        2 => App\Models\Element {#1283 …30}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1276
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                        0 => App\Models\Book {#1057}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1276}
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№4.21 (с. 136)
Условие (рус). №4.21 (с. 136)
Алгебра, 8 класс Учебник, авторы: Шыныбеков Абдухали Насырович, Шыныбеков Данияр Абдухалиевич, Жумабаев Ринат Нурланович, издательство Атамұра, Алматы, 2018, страница 136, номер 4.21, Условие (рус)
Условие (кз). №4.21 (с. 136)
Алгебра, 8 класс Учебник, авторы: Шыныбеков Абдухали Насырович, Шыныбеков Данияр Абдухалиевич, Жумабаев Ринат Нурланович, издательство Атамұра, Алматы, 2018, страница 136, номер 4.21, Условие (кз)
Решение. №4.21 (с. 136)
Алгебра, 8 класс Учебник, авторы: Шыныбеков Абдухали Насырович, Шыныбеков Данияр Абдухалиевич, Жумабаев Ринат Нурланович, издательство Атамұра, Алматы, 2018, страница 136, номер 4.21, Решение

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