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sdas [7]
2 years ago
8

THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help wit

h this pls. I will give you the brainliest and a thanks!! :)) can u do all three of these? Pls thanks!!!! :))

Mathematics
1 answer:
aalyn [17]2 years ago
7 0
5. 37.7ft
8.28.7cm
hope this helps!!!
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A levee was designed to protect against floods with an annual exceedance probability of 0.02. A larger flood would cause the lev
LuckyWell [14K]

Answer:

66.76% probability that the levee will NEVER fail in the next 20 years.

Step-by-step explanation:

For each year, there are only two possible outcomes. Either a levee fails during the year, or no levees fail. In each year, the probabilities of levees failing are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

A levee was designed to protect against floods with an annual exceedance probability of 0.02. This means that p = 0.02

What is the risk that the levee will NEVER fail in the next 20 years?

This is P(X = 0) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{20,0}*(0.02)^{0}*.(0.98)^{20} = 0.6676

66.76% probability that the levee will NEVER fail in the next 20 years.

7 0
3 years ago
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