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diamong [38]
3 years ago
10

How to describe and compare a box plot.

Mathematics
1 answer:
zzz [600]3 years ago
4 0
Hoping the images i attached below help!! 

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-4 - 10 + 9 = -14 + 9 = -5

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Write an equivalent expression to 2x + 3 + 5x + 6​
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Answer:

2x+3+5x+6 = 7x+9

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2x + 3 + 5x + 6​

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Hope it helps

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At Gwen’s bakery over the course of a year she sold 78 cakes for $78 a cake. At the end of the year she determined that for each
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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-
joja [24]

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}

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 = 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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