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128- это 2 в 7-ой степени 2(7)
2(7)*а(7)*б(7)= (2аб)(7)
1)) Всего трехзначных чисел 999-99= 900;
вычли однозначные и двузначные.
всех исходов n=900;
Из них на 49 делятся 900:49=18
чисел
(от 49 •3=127 до 49•20=980)
Благоприятных исходов m=18
Вероятность P=m/n;
P=18/900= 2/100= 0,02
Ответ: вероятность 0,02 что трехзначное число делится на 49.
2)) Всего двузначных чисел 99-9=90
вычли однозначные.
всех исходов n=90;
Из них на 0 оканчиваются (10;20;30;40;50;60;70;80;90)= 9 чисел;
Благоприятных исходов m=9
Вероятность P=m/n; P=9/90= 1/10=0,1
Ответ: вероятность 0,1 что двузначное число оканчивается на ноль.
an=a+(n-1)d
44=a+32
a=12 (мы нашли a1=12)
Далее,
S=n*(a1+an)/2
S=5*(12+60)/2
S=60+300/2
S=360/2
S=180
Ответ:180
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