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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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Answer:

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Step-by-step explanation:

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There are 7 similarly shaped figures in a set. The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter
galben [10]
The first thing we must do for this case is to find the scale factor based on the dimensions of the figures.
 The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter than the next larger figure.
 We have then that the smallest figure has a height of 1 inch.
 The scale factor is:
 k = (smallest figure) / (largest figure) = 1/7
 k = 1/7
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 A = k ^ 2 * (A ')
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 A = 12 in ^ 2
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The surface area of the smallest figure is:
 
A = 12 in ^ 2
4 0
3 years ago
Jeremiah owns 16 T-shirts, 8 of which are yellow.
LuckyWell [14K]

Answer:

8/16  or 0.5

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6 0
2 years ago
The area of a rectangle is represented by 12n^2 - 19n – 21. If the width is 3n - 7, which expression represents the perimeter?
MAVERICK [17]

Answer:

C 14n - 8

Step-by-step explanation:

area of rectangle = length × width = 12n² - 19n - 21

width = 3n - 7

so, what do we need to multiply with width to get the expression of the area ?

4n + 3

(because we think, what do we need to multiply 3n with to get 12n², and what to multiply -7 to get -21)

control : (3n-7)×(4n+3) = 12n²-28n+9n-21 = 12n²-19n-21

perimeter is now 2× length + 2× width

p = 2(3n-7) + 2(4n+3) = 6n - 14 + 8n + 6 = 14n - 8

3 0
3 years ago
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