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DiKsa [7]
3 years ago
14

A band selects 404040 ticket-holders at random from each concert to win t-shirts. The band knows that 55\%55%55, percent of the

ticket-holders buy their tickets at least a month before the concert. Suppose the band calculated the proportion \hat p
p
^
​ of winners from each concert who bought their tickets at least a month before the concert.
Which of the following distributions is the best approximation of the sampling distribution of \hat p
p
^
​ ?
Each distribution uses the same scale.
Choose 1 answer:
Choose 1 answer:

(Choice A, Checked)
A


(Choice B)
B


(Choice C)
C


(Choice D)
D
Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

They would be normally distributed.

Step-by-step explanation:

Because there are more than 30 samples, the distribution would closely resemble the normal distribution.

40 ticketholders are winning the contest. 40 ≥ 30. This is enough to make the distribution approximately normal.

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What is the measure of z?
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Solving a system of linear equations, we conclude that the measure of side Z is 2√13

<h3>How to find the measure of side Z?</h3>

Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.

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We want to solve that for z.

Now, the second equation can be rewritten to:

y^2 = z^2 - 9^2

Now let's replace the first equation into the third one, so we get:

(4 + 9)^2 = z^2 + (y^2 + 4^2)

Now we can replace y^2 by z^2 - 9^2

(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)

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If you want to learn more about systems of equations:

brainly.com/question/13729904

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