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djverab [1.8K]
3 years ago
13

Roxi works as a receptionist for an electronics manufacturer. One week she reported that she worked 38.75 hours. The next week s

he reported 40 1/4 hours. How many more hours did Roxi work the second week?
Mathematics
1 answer:
Volgvan3 years ago
7 0
You’re finding the difference between the two numbers (subtraction). 1/4 is 0.25.

40.25 - 38.75 = 1.5

She worked one and a half more hours in the second week.
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In this question:

Fleet of 17 means that N = 17

4 are carrying nucleas weapons, which means that k = 4

9 are destroyed, which means that n = 9

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

P(X > 1) = 1 - P(X \leq 1)

In which

P(X \leq 1) = P(X = 0) + P(X = 1)

So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

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P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

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