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Natasha2012 [34]
3 years ago
6

A standard-size volleyball court has an area of 1,800 square feet. The length of the court is 60 feet. What is the width of the

court?
Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0

Answer:

The width of the  court is 30 feet.

Step-by-step explanation:

1800 = 60 x width

width = 1800/60 = 30

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Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the
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Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 180, \sigma = 8

What is the probability that a randomly selected individual will be between 185 and 190 pounds?

This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So

X = 190

Z = \frac{X - \mu}{\sigma}

Z = \frac{190 - 180}{8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 185

Z = \frac{X - \mu}{\sigma}

Z = \frac{185 - 180}{8}

Z = 0.63

Z = 0.63 has a pvalue of 0.7357

0.8944 - 0.7357 = 0.1587

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

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Answer:

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Step-by-step explanation:

168/144= 1.16 ft tall

or rounded to the nearest number = 1.20 ft.

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Step-by-step explanation:

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