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3 years ago

Screenshot of the question

Mathematics

1 answer:

tamaranim1 [39]3 years ago

3 0

9514 1404 393

Answer:

x = 1, x = 7

Step-by-step explanation:

You can see from the graph that the x-intercepts of f(x) are ...

0 = f(-3)

0 = f(3)

To find the corresponding values of x for f(x-4), we can solve ...

0 = f(x -4)

x -4 = -3 ⇒ x = 1

x -4 = 3 ⇒ x = 7

The x-intercepts of the function after translation 4 units right are ...

x = 1, x = 7

Your sketch will be the same curve moved 4 units to the right. (Add 4 to every x-value shown.)

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3 years ago

A major metropolitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers.

Tpy6a [65]

Answer: $(0.36845,\ 0.43155)$

Step-by-step explanation:

Let p be the population proportion of readers who would like more coverage of local news.

As per given , we have

sample size :=1600

sample proportion : $\hat{p}=40\%=0.40$

The confidence interval for population proportion is given by :-

$\hat{p}\pm z^* \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

From z-table ,

For 99% confidence interval the z-value is 2.576.

Substitute all the values in the above formula , we get

The 99% confidence interval for the proportion of readers who would like more coverage of local news as

$0.40\pm(2.576) \sqrt{\dfrac{0.40(1-0.40)}{1600}}$

$0.40\pm(2.576) \sqrt{\dfrac{0.24}{1600}}$

$0.40\pm(2.576) \sqrt{0.00015}$

$0.40\pm(2.576) (0.0122474487139)$

$0.40\pm0.03155$

$(0.40-0.03155,\ 0.40+0.03155)=(0.36845,\ 0.43155)$

Hence, the 99% confidence interval for the proportion of readers who would like more coverage of local news is $(0.36845,\ 0.43155)$ .

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3 years ago