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Bess [88]
2 years ago
5

Triangle JKL is graphed on the coordinate plane below. On a coordinate plane, triangle J K L has points (1, 2), (4, 2), (3, 5).

The figure is rotated 360° clockwise with the origin as the center of rotation. Which graph represents the rotated figure? On a coordinate plane, triangle J prime K prime L prime has points (negative 2, 1), (negative 2, 4), (negative 5, 3). On a coordinate plane, triangle J prime K prime L prime has points (negative 1, negative 2), (negative 4, negative 2), (negative 3, negative 5). On a coordinate plane, triangle J prime K prime L prime has points (2, negative 1), (2, negative 4), (5, negative 3). On a coordinate plane, triangle J prime K prime L prime has points (1, 2), (4, 2), (3, 5).
Mathematics
2 answers:
lianna [129]2 years ago
7 0

<u>Given</u>:

The coordinates of the triangle JKL are (1,2),(4,2) and (3,5)

We need to determine the coordinates of the triangle J'K'L' rotated 360° clockwise with the origin.

<u>Coordinates of the triangle J'K'L':</u>

The rule to rotate the triangle 360° clockwise with the origin is given by

(x,y)\implies (x,y)

The coordinates of the point J' is given by

(1,2)\implies (1,2)

The coordinates of the point K' is given by

(4,2) \implies (4,2)

The coordinates of the point L' is given by

(3,5)\implies (3,5)

Therefore, the coordinates of the triangle J'K'L' are (1,2), (4,2) and (3,5)

Hence, Option D is the correct answer.

Kamila [148]2 years ago
6 0

Answer:

It’s a

Step-by-step explanation:

I took the test

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This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60

This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:

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At the alternative hypothesis, we test if the proportion is different of 0.6, that is:

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Reject the null hypothesis: |Z| > 1.645

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0.6 is tested at the null hypothesis:

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75 out of a sample of 140:

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Value of the test statistic:

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z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}

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Decision:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

For a similar example, you can check brainly.com/question/24166849

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