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jeka94
3 years ago
9

When the point (-1,3) is dilated with the center of dilation at the origin, the image of the point is (4,-12). What is the scale

factor of this dilation?
4
0.25
-4
-0.25

Mathematics
2 answers:
Elina [12.6K]3 years ago
7 0

Answer:

-4

Step-by-step explanation:

When the dilation center is the origin, the dilation factor is the ratio of dilated coordinates to original coordinates: 4/-1 = -12/3 = -4.

jasenka [17]3 years ago
6 0

Answer:  The correct option is

(C) -4.

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Step-by-step explanation:  Given that a point (-1, 3) is dilated with the center of dilation at the origin and the image of the point is (4,-12).

We are to find the scale factor of the dilation.

We know that

when a point (a, b) is dilated about the origin to another point (c, d), then its scale of dilation is given by

s=\dfrac{c}{a}=\dfrac{d}{b}.

Therefore, for the given dilation, the scale factor of dilation is given by

s=\dfrac{4}{-3}=\dfrac{-12}{3}=-4.

Thus, the required scale factor is -4.

Option (C) is CORRECT.

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Answer:

Check Explanation

Step-by-step explanation:

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B) The two errors that can come up in this hypothesis testing include -

Type I error: We reject the null hypothesis because we obtain that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white and conclude that there is indeed significant evidence that the company's hiring practices are discriminatory when in reality, there is no significant difference and hence, no discrimination.

Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.

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Hope this Helps!!!

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3 years ago
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6 0
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6 0
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