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vagabundo [1.1K]
3 years ago
9

You want to know the opinions of American school teachers about establishing a national test for high school graduation. You obt

ain a list of the members of the National Education Association (the largest teachers' union) and mail a questionnaire to 2500 teachers chosen at random from this list. In all 1347 teachers return the questionnaire. The intended population is...
A) the 1347 teachers who mail back the questionnaire.
B) the 2500 teachers to whom you mailed the questionnaire.
C) all members of the National Education Association.
D) all American school teachers.
Mathematics
1 answer:
GaryK [48]3 years ago
5 0

Answer: D) all American school teachers.

Step-by-step explanation:

In statistics,  A population is a very large set of individuals or values that belong to a specified group established by researcher.

A sample is a subset of population that represents the entire population in research.

Given : We want to know the opinions of American school teachers about establishing a national test for high school graduation.

Clearly , by the above definition

Population =   all American school teachers.

You obtain a list of the members of the National Education Association and mail a questionnaire to 2500 teachers chosen at random from this list.

sample = 2500 teachers chosen at random from this list.

Hence, the intended population is all American school teachers.

Thus , the correct answer is D) all American school teachers.

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Answer:

<h2>x = 4, y = 12 → (4, 12)</h2>

Step-by-step explanation:

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3 years ago
Select the expression that represents the following statement: multiply 6 by 2, and then subtract 4.
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Step-by-step explanation:

Only 2 fits the descriptions, where 6 is multiply 2, 6 x 2. And we subtract 4 from it, 6 x 2 -4.

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Answer: your mom gay ;)

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Dilate the trapezoid using center (-3,4) and scale factor 1/2.
pochemuha

The coordinates of the vertices of the image of the trapezoid are given as;

A'(x, y) = (- 4, 1), B'(x, y) = (- 2, 1), C'(x, y) = (- 5 / 2, 5 / 2) , D'(x, y) = (- 7 / 2, 5 / 2).

<h3>How to find the image of a trapezoid by dilation?</h3>

In this question we have a representation of a trapezoid, whose image has to be generated by a kind of rigid transformation known as dilation, whose equation is described :

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where O(x, y) - Center of dilation

k - Scale factor

And P(x, y) - Coordinates of the original point, P'(x, y) - Coordinates of the resulting point.

Since k = 1 / 2, A(x, y) = (- 5, - 2), B(x, y) = (- 1, - 2), C(x, y) = (- 2, 1), D(x, y) = (- 4, 1), O(x, y) = (- 3, 4),

Therefore, the coordinates of the vertices of the image are:

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A'(x, y) = O(x, y) + k · [A(x, y) - O(x, y)]

A'(x, y) = (- 3, 4) + (1 / 2) [(- 5, - 2) - (- 3, 4)]

A'(x, y) = (- 3, 4) + (1 / 2)  (- 2, - 6)

A'(x, y) = (- 3, 4) + (- 1, - 3)

A'(x, y) = (- 4, 1)

Point B';

B'(x, y) = O(x, y) + k [B(x, y) - O(x, y)]

B'(x, y) = (- 3, 4) + (1 / 2) [(- 1, - 2) - (- 3, 4)]

B'(x, y) = (- 3, 4) + (1 / 2)  (2, - 6)

B'(x, y) = (- 3, 4) + (1, - 3)

B'(x, y) = (- 2, 1)

Point C';

C'(x, y) = O(x, y) + k · [C(x, y) - O(x, y)]

C'(x, y) = (- 3, 4) + (1 / 2)  [(- 2, 1) - (- 3, 4)]

C'(x, y) = (- 3, 4) + (1 / 2) (1, - 3)

C'(x, y) = (- 3, 4) + (1 / 2, - 3 / 2)

C'(x, y) = (- 5 / 2, 5 / 2)

Point D'

D'(x, y) = O(x, y) + k  [D(x, y) - O(x, y)]

D'(x, y) = (- 3, 4) + (1 / 2) [(- 4, 1) - (- 3, 4)]

D'(x, y) = (- 3, 4) + (1 / 2) (- 1, - 3)

D'(x, y) = (- 3, 4) + (- 1 / 2, - 3 / 2)

D'(x, y) = (- 7 / 2, 5 / 2)

To learn more on dilations:

brainly.com/question/13176891

#SPJ1

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