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Ray Of Light [21]
3 years ago
12

PLEASE HELP!!! BRAINLYEST!!!

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Using the rule of exponents

\frac{a^{m} }{a^{n} } = a^{(m-n)}

Note that 8 = 2³, thus

\frac{2^{5} }{8}

= \frac{2^{5} }{2^{3} }

= 2^{(5-3)}

= 2²

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A parallelogram has an area of x^2 + 9x - 36.
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Among U.S. cities with a population of more than 250,000 the mean one-way commute time to work is 24.3 minutes. The longest one-
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Answer:

a) 9.18% f the New York City commutes are for less than 29 minutes.

b) 26.39% are between 29 and 36 minutes.

c) 67.55% are between 29 and 44 minutes

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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In this problem, we have that:

\mu = 38.7, \sigma = 7.3

a.

What percent of the New York City commutes are for less than 29 minutes?

This is the pvalue of Z when X = 29.

So

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

Z = \frac{29 - 38.7}{7.3}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918.

So 9.18% f the New York City commutes are for less than 29 minutes.

b.

What percent are between 29 and 36 minutes?

This is the pvalue of Z when X = 36 subtracted by the pvalue of Z when X = 29.

X = 36

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

Z = \frac{36 - 38.7}{7.3}

Z = -0.37

Z = -0.37 has a pvalue of 0.3557.

X = 29

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

Z = \frac{29 - 38.7}{7.3}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918.

So 0.3557 - 0.0918 = 0.2639 = 26.39% are between 29 and 36 minutes.

c.

What percent are between 29 and 44 minutes?

This is the pvalue of Z when X = 44 subtracted by the pvalue of Z when X = 29.

X = 44

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

Z = \frac{44 - 38.7}{7.3}

Z = 0.73

Z = -0.37 has a pvalue of 0.7673.

X = 29

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

Z = \frac{29 - 38.7}{7.3}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918.

So 0.7673 - 0.0918 = 0.6755 = 67.55% are between 29 and 44 minutes

6 0
3 years ago
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