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worty [1.4K]
2 years ago
10

Karina and perry are cleaning up litter in the park for community service hours. Karina and perry both claim they have covered t

he greatest area. Who is correct? Use mathematical reasoning

Mathematics
1 answer:
ddd [48]2 years ago
7 0

Answer:

Karina is correct

Step-by-step explanation:

<em>See attached</em>

<u>Area that Karina cleaned up:</u>

  • 1/2*(6-0)(9-2) = 1/2*6*7 = 21

<u>Area that Petty cleaned up:</u>

  • 2*9 = 18

As we see Karina cleaned up more area than Petty, so she is correct

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Answer:

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now.

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As part of a community service project at your high school, you are organizing a fund-raiser at the neighborhood movie theater.
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Answer:

0.38% probability that the sample contains exactly two defective parts.

Step-by-step explanation:

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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:

n = 5, p = 0.02

What is the probability that the sample contains exactly two defective parts?

This is P(X = 2)

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

P(X = 2) = C_{5,2}.(0.02)^{2}.(0.98)^{3} = 0.0038

0.38% probability that the sample contains exactly two defective parts.

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