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valentina_108 [34]
3 years ago
8

What is the distance between -60 and -10 0n a number line?

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0

Answer: 70

Step-by-step explanation: The absolute value of a number is its distance from zero on the number line. Since absolute value is a distance, it is always greater than or equal to zero.

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The number x is reduced by 25% and then halved
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Since it says the number  x , this means x represents a number , reduced by 25 means that this is most likely half of 25 so whats half of 25%?

well 5 * 5 = 25 , so here is your answer  = 5

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Shelby keeps all her vacation pictures in 2 photo albums. One of the photo albums is 2/3 full and the other is 5/6 full. How muc
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Step-by-step explanation:

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Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm, is a right triangle?
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The Pythagorean Proposition can help you explain this:
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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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