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belka [17]
3 years ago
13

A student who is trying to write a paper for a course has a choice of two topics, a and

Mathematics
1 answer:
Kitty [74]3 years ago
4 0
Say she chooses topic A. She needs at least one book to arrive on time. The probability that no books arrive on time is 0.1 x 0.1 = 0.01 so the probability that at least one book arrives on time is 1 - 0.01 = 0.99.
Say she chooses topic B. She needs at least two books to arrive on time. The probability of no books arriving on time is 0.1 x 0.1 x 0.1 x 0.1 = 0.0001. The probability of exactly one book arriving on time is 4 x 0.1 x 0.1 x 0.1 x 0.9 = 0.0036 (binomial probability distribution formula - the 4 comes from 4C1). So the probability of her not getting enough books is 0.0001 + 0.0036 = 0.0037 and the probability she does get the books she needs on time is 1 - 0.0037 = 0.9963.
So she should choose topic B.
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If the radius of a cylinder was shrunk down to a quarter of its orignal size and the height was reduced to a third of its origin
svetoff [14.1K]

The modified area is (1/48) (2πr(4h+3r))

<u>Step-by-step explanation:</u>

Let the radius be 'r' and height be 'h'.

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The radius is shrunk down to quarter of its original radius

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The height is reduced to a third of its original height

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= (1/4)2πr[(4h+3r) /12]

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