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Исследуйте функцию:
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Диагонали AC и BD четырехугольника ABCD, вписанного в окружность, пересекаются в точке K. Найдите длину отрезка AK, если AB=15, CD=10, AC=20, BD=16.
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3. Есть два независимо работающих сигнализатора. Вероятность того, что при аварии первый сигнализатор сработает, равна 0.95, для второго эта вероятность -0.9. Найти вероятность того, что при аварии сработает хотя бы один сигнализатор.
4. В данный магазин изделия поставляются тремя фирмами в соотношении 5:8:7. Среди продукции первой фирмы стандартные изделия составляют 90%, второй – 85%, третьей – 75%. Найти вероятность того, что приобретенное изделие окажется нестандартным.
5. Электролампы изготовляются на трёх заводах. Первый завод производит 45% общего количества электроламп, второй - 40%, третий-15%. Продукция первого завода содержит 70% стандартных ламп, второго-80%, третьего-81 %. В магазин поступает продукция всех трёх заводов. Купленная в магазине лампа оказалась стандартной. Какова вероятность того, что она изготовлена на втором заводе?
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- А) Около окружности описан пятиугольник ABCDE, AB=1, BC=2, CD=3, DE=4. Чему равна пятая сторона, если она выражается целым числом?
Б) Две окружности вписаны в угол с вершиной в точке А и обе касаются отрезка BC (рис. 33). Доказать, что
Рис. 33
В) Окружность, вписанная в треугольник ABC касается стороны ВС в точке К. Доказать, что ВК=р-b, где р-полупериметр треугольника АВС и b=АС.
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50 руб.
- Какую часть площади S треугольника АВС составляет площадь заштрихованной фигуры?
На стеллаже в библиотеке 15 учеников, 5 из них в переплете. Кто-то берет наугад 4 учебника. В скольких случаях среди выбранных учебников 2 окажутся в переплете?
60 руб.<img 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
- Найти вероятность. Что в группе из 23 человек все дни рождения различны.
- В партии изделий смешаны изделия 3 заводов: 50 изделий 1-го. 60 изделий 2-ого и 40 изделий 3-его завода. Известно, что вероятность дефекта для изделий 1-го. 2-го и 3-го заводов равна соответственно 0.1,0.15. 0.2. Если изделие дефектно, то оно не проходит испытания. Взято наугад одно изделие из смешанной партии; оно не прошло испытание. Найти вероятность того, что оно изготовлено первым заводом.
- Произведено 20 независимых испытаний, каждое из которых заключается в одновременном подбрасывании 3 монет. Найти вероя тность того, что хотя бы в одном испытании появя тся 3 герба.
- Вероятность выхода из строя изделия за время Т равна 0.05. 11айти вероятность того, что за время Т из 190 изделий выйдут из с троя
- 10 изделий;
- менее 10 изделий.
- Устройство состоит из 1000 элементов, работающих независимо. Вероятность отказа любого элемента в течение времени Т равна 0.002. Найти вероятность того. что за нпемя Т откажут не более 2-х элементов.
70 руб.Найти решение системы уравнений двумя способами:
1) матричным методом(с помощью обратной матрицы),
2) с помощью правила Крамера.
Построить фигуру, заданную неравенствами
80 руб.Задание по теме 1.3. Применение линейной алгебры в экономике
Решить задачу межотраслевого баланса производства и распределения продукции для 4 отраслей.
Матрица межотраслевых материальных связей xij и вектор валового выпуска Xj приведены в таблице по вариантам.
xij
Xj
30
35
40
55
550
5
5
5
95
600
65
10
0
15
575
80
20
80
35
520
1. Найти конечный продукт каждой отрасли, чистую продукцию каждой отрасли, матрицу коэффициентов прямых затрат.
2. Какой будет конечный продукт каждой отрасли, если валовой продукт первой отрасли увеличится в 2 раза, у второй увеличится на половину, у третьей не изменится, у четвертой – уменьшится на 10 процентов.
3. Найти валовой продукт, если конечный станет равен 700, 500, 850 и 700.
1) Провести полное исследование функций методами дифференциального исчисления и построить графики:
2) Найти площадь фигуры, ограниченной линиями. Сделать чертеж.