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timama [110]
3 years ago
11

Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. It is 35°F at 1:00 p.m.. Write and solve an equat

ion to find how many hours x it will take to reach −1°F.
An equation is

It will take _ hours to reach −1°F.
Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0
Start at 35 and start subtracting 4 (-4) then count each number so (35,31,27,23,19,15,11,7,3,-1) that’s 9 numbers so 1:00Pm +9 hours to 10:00PM and there you go
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0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Step-by-step explanation:

The vessels are destroyed and then not replaced, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

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

In which:

x is the number of successes.

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Combinations formula:

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In this question:

Fleet of 18 means that N = 18

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9 are destroyed, which means that n = 9

What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?

This is:

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

In which

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

P(X = 0) = h(0,18,9,9) = \frac{C_{9,0}*C_{9,9}}{C_{18,9}} = 0.000021

P(X = 1) = h(1,18,9,9) = \frac{C_{9,1}*C_{9,8}}{C_{18,9}} = 0.001666

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.000021 + 0.001666 = 0.001687

0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

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