Which one is rational or irrational number?

The Office of Student Services at UNC would like to estimate the proportion of UNC's 28,500 students who are foreign students. I

ANEK [815]

Answer:

For the sampling distribution of the sample proportion for a sample of size 50, the mean is 0.061 and the standard deviation is 0.034.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

$p = 0.061, n = 50$

So

Mean:

$\mu = p = 0.061$

Standard deviation:

$s = \sqrt{\frac{0.061*0.939}{50}} = 0.034$

For the sampling distribution of the sample proportion for a sample of size 50, the mean is 0.061 and the standard deviation is 0.034.

3 0

3 years ago

to make a little spending money, taylor decided to sell special souvenir programs for the exeter andover wrestling match. the pr

Dvinal [7]

Answer: she printed 200 programs

Step-by-step explanation:

Let x represent the number of programs that were printed.

The printing cost was $0.32 per program. This means that the total cost of printing x programs would be 0.32 × x = $0.32x

They were priced at $0.50 each. This means that the total revenue from selling x programs is 0.5 × x = $0.5x

Taylor sold all but 50 programs. It means that the number of programs sold is

x - 50 and the total revenue from the number of programs sold is 0.5(x - 50)

Revenue - cost = profit

Taylor made a small profit of $11. It means that

0.5(x - 50) - 0.32x= 11

0.5x - 25 - 0.32x = 11

0.5x - 0.32x = 11 + 25

0.18x = 36

x = 36/0.18

x = 200

6 0

3 years ago

Suzi can type around 50 words per minute she has less than a week to taper final research paper is the paper has to at least be

antiseptic1488 [7]

Answer:

2.5 hours

Step-by-step explanation:

(380/50) x 20

7.6 x 20

152

The final answer wold be 152 minutes or 2.5 hours

3 0

3 years ago

The quadrilaterals JKLM and PQRS are similar.

AleksandrR [38]

The measure of side x equivalent to RS is 42

Similar shapes are shapes that have both their sides and angles to be equal.

Since both quadrilaterals JKLM and PQRS are similar, we will take the ratio of the sides as shown;

4/24 = 7/x

1/6 = 7/x

Cross multiply

x = 42

Hence the measure of side x equivalent to RS is 42

Learn more on similar shapes here: brainly.com/question/12960403

5 0

3 years ago

THE HORROR! HELP!!!!!

Arlecino [84]

A' (1,4)
B' (5,8)
C' (5,4)
D' (4,2)

8 0

3 years ago

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