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spayn [35]
3 years ago
10

After learning how to fly, Wendy reduced her daily commute time by 75%. Previously, her commute took m minutes. Which of the fol

lowing expressions could represent Wendy's commute time, in minutes, after she learned how to fly?
Choose 2 answers:
A. 1.75m
B. 0.75m
C. 0.25m
D. \frac{1}{4}m
E. \frac{3}{4} m
Mathematics
2 answers:
N76 [4]3 years ago
8 0

Answer:

The answer would be 0.75m

Step-by-step explanation:

Montano1993 [528]3 years ago
4 0
The answer is B. 0.75 because that’s what it would be equal to in decimal form.
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Answer:

Step-by-step explanation:

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2 years ago
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A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand
LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

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:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

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

Z = \frac{20.2 - 20}{0.158}

Z = 1.27

Z = 1.27 has a pvalue of 0.8980

1 - 0.8980 = 0.1020

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7 0
3 years ago
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Answer: {5 ± 2√10, 5 - 2√10}

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Next, square root both sides to get x - 5 = ± √40.

Notice that root of 40 can be broken down to 2√10.

So we have x - 5 = ± 2√10.

To get <em>x</em> by itself, add 5 to both sides to get x = 5 ± 2√10.

So our answer is just {5 ± 2√10, 5 - 2√10}.

As a matter of form, the number will always come before the

radical term in your answer to these types of problems.

In other words, we use 5 ± 2√10 instead of ± 2√10 + 5.

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Answer:

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