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3 years ago

3 Question

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

ok so no pic

Step-by-step explanation:

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Which set of numbers represents the domain of the set of order pairs (2,10), (-3,-10), (4,-1),(-5,2)

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Steven invests $20,000 in an account earning 3% interest, compounded annually for 10 years. Three years after Stevens's initial

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Suppose an article reported that 14% of unmarried couples in the United States are mixed racially or ethnically. Consider the po

Anvisha [2.4K]

Answer: $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

Step-by-step explanation:

In sampling distribution of $\hat{p}$ .

The mean and standard deviation of the sampling distribution of p is given by :-

$\mu_{\hat{p}}=p$

$\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$ , where p= population proportion and n= sample size.

Let p be the population proportion of unmarried couples in the United States are mixed racially or ethnically.

As per given , we have

n = 100

p= 14% =0.14

Then, the mean and standard deviation of the sampling distribution of p will be :

$\mu_{\hat{p}}=0.14$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(1-0.14)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(0.86)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.1204}{100}}$

$\sigma_{\hat{p}}=\sqrt{0.001204}$

$\sigma_{\hat{p}}=0.0346987031458\approx0.0347$

Hence, the required answer : $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

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3 years ago

the area of a rectangle swimming pool is 10x^2-19x-15. the length of the pool is 5x+3. What is the width of the pool?

masha68 [24]

Given the area of the rectangle swimming pool: 10x^2 - 19x - 15 and the length of the pool 5x + 3. Find the width of the pool. Recall from geometry that the area of a rectangle is length x width. Therefore, to solve for the width of the pool, we need to divide the area by the length. This can be done by polynomial division:

10x^2 - 19x - 15 / (5x+3)

Find the other factor that when multiplied with (5x+3) will result to the area:

Answer: (5x+3) (5x-5)

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4 years ago