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dezoksy [38]
3 years ago
5

Triangle ABC has vertices A(1,4), B(−2,4) , and C(−1,−1) . A dilation with a scale factor of 0.25 and center at the origin is ap

plied to the triangle. What are the coordinates of B' in the dilated image? Enter your answer in the boxes.
Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0
So multiply to get answer.

B' is (-2*.25, 4*.25), or (-0.5, 1)

Answer: (-0.5, 1)
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A jaguar runs 3 miles in 3/4 hour. How far can the jaguar run in 1 hour?
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Answer:

4 miles

Step-by-step explanation:

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3/3 = 1

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Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia
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Answer:

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

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 = 75, \sigma = 12.5

Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.

X = 81

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

Z = \frac{81 - 75}{12.5}

Z = 0.48

Z = 0.48 has a pvalue of 0.6844

X = 69

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

Z = \frac{69 - 75}{12.5}

Z = -0.48

Z = -0.48 has a pvalue of 0.3156

0.6844 - 0.3156 = 0.3688

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

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Answer:

<em>Step-by-step explanation:</em>

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