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Serga [27]
3 years ago
10

Choose 2 hellllpppppp plzzzxxxxzz

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

Choices C and D

Step-by-step explanation:

The most simplest way is just to solve each one and see which two have the same answer as the first expression.

But you could also see that both of the \frac{4}{7} are going to cancel each other out so you are left with -\frac{8}{9} +\frac{9}{8}  which is also choice C.

For choice D I distributed the negative one to the insides of the parenthesis that left me with -\frac{4}{7}-\frac{8}{9}+\frac{4}{7} +\frac{9}{8}  which is the same expression as the first one.

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Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population
Andreas93 [3]

Answer:

A)0.8533

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older is independent of any other person. So we use the binomial probability distribution to solve this question.

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.

14 percent of the population of Arizona is 65 years or older.

This means that p = 0.14

A random sample of five persons from this population is taken.

This means that n = 5

The probability that less than 2 of the 5 are 65 years or older is :

P(X < 2) = P(X = 0) + P(X = 1)

In which

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

P(X = 0) = C_{5,0}.(0.14)^{0}.(0.86)^{5} = 0.4704

P(X = 1) = C_{5,1}.(0.14)^{1}.(0.86)^{4} = 0.3829

P(X < 2) = P(X = 0) + P(X = 1) = 0.4704 + 0.3829 = 0.8533

So the correct answer is:

A)0.8533

3 0
3 years ago
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