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3 years ago

Simplify 5p2 5p3?whats the answer

Mathematics

2 answers:

Sati [7]3 years ago

6 0

Hi there!

$\frac{ {5p}^{2} }{5 {p}^{3} } = \frac{5}{5p} = \frac{1}{p}$
Answer C.

Explanation:
First divide the expression by p^2 and second divide by 5. Now we've found the simplified expression and our answer.

~ Hope this helps you!

Sedaia [141]3 years ago

5 0

5p5 but the five at the end is small

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a) 5.13% probability that all of the offices are filled by members of the debate team

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A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the people are chosen is important, since the first person is the president, the second is the vice president and so on... So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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$T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760$

Probability:

$P = \frac{D}{T} = \frac{1680}{32760} = 0.0513$

5.13% probability that all of the offices are filled by members of the debate team

(b) What is the probability that none of the offices are filled by members of the debate team?

Desired outcomes:

4(president, vice president, secretary, and treasurer) offices from a set of 7(candidates who are not of the members debate team).

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