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dolphi86 [110]
3 years ago
6

Given the sets a={0,1,2,3,} b={a,b,c,d} c={0,a,2,b}. Find B u c

Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Answer:

BUC= { a,b,c,d,0,2}

Step-by-step explanation:

a = {0,1,2,3}

b={a,b,c,d}

c={0,a,2,b}

B U C

In union combine all the elements we get.

BUC= { a,b,c,d,0,2}

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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}

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}

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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

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2 years ago
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