Find the largest number which divides 149 and 101 , leaving remainder of 5

The manager of a customer support center takes an SRS of 40 reported issues and finds that 22% of the sampled issues required mo

ki77a [65]

Answer:

The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.

Step-by-step explanation:

Central Limit Theorem

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 $s = \sqrt{\frac{p(1-p)}{n}}$

25% of the approximately 1000 issues reported per month that require more than one call.

This means that $p = 0.25$

What are the mean and standard deviation of the sampling distribution of p?

Sample of 40 means that $n = 40$ .

By the Central Limit Theorem,

The mean is $\mu = p = 0.25$

The standard deviation is $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.25*0.75}{40}} = 0.0685$

The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.

3 0

3 years ago

jazmine made 3 1/3 cups of jam. she will separate the jam into jars that hold 2/5 cup. How many jars of jam can Jasmine make ?

REY [17]

Given:

Jazmine made $3\dfrac{1}{3}$ cups of jam.

One jar can hold $\dfrac{2}{5}$ cup.

To find:

Number of jars of jam can Jasmine make.

Solution:

We have,

Capacity of each jar = $\dfrac{2}{5}$ cup

Total jam made by Jazmine = $3\dfrac{1}{3}$ cups

= $\dfrac{3(3)+1}{3}$ cups

= $\dfrac{10}{3}$ cups

Now,

$\text{Number of Jars of jam}=\dfrac{\text{Total jam made by Jazmine}}{\text{Capacity of each jar}}$

$\text{Number of Jars of jam}=\dfrac{\dfrac{10}{3}}{\dfrac{2}{5}}$

$\text{Number of Jars of jam}=\dfrac{10}{3}\times \dfrac{5}{2}$

$\text{Number of Jars of jam}=\dfrac{25}{3}$

$\text{Number of Jars of jam}=8\dfrac{1}{3}$

Approx the value to the next integer.

$\text{Number of Jars of jam}\approx 9$

Therefore, Jasmine make 9 cups of jam in which 8 are completely filled and one is filled one third.

5 0

3 years ago

Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but

Marysya12 [62]

Answer:

100 has <u>5</u> factor pairs, so that many different rectangles can be drawn. 15 only has <u>2</u> factor pairs, so only that many different rectangles can be drawn.

Explanation:

there are 5 pairs of whole numbers that multiplied together will be 100:

100 x 1 = 100
50 x 2 = 100
25 x 4 = 100
20 x 5 = 100
10 x 10 = 100

while there are only 2 pairs of whole numbers that multiplied together will be 15:

15 x 1 = 15
3 x 5 = 15

7 0

2 years ago

Question 4(Multiple Choice Worth 4 points)

artcher [175]

Answer:

$\sqrt{1}$

Step-by-step explanation:

We know that a rational number cannot have roots. All of the answer choices cannot be simplified except for $\sqrt{1}$ , which can become 1. Therefore, our answer is $\sqrt{1}$ .

3 0

1 year ago

ABCD=STQR. What is the measurement of CD?

USPshnik [31]

Step-by-step explanation:

$\because \: ABCD=STQR...(Given) \\ \\ \therefore \: CD = QR \\ \\ \because \: QR = 21 \: in \\ \\ \huge \red{ \boxed{\therefore \: CD =21 \: in }}$

6 0

2 years ago

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