Tickets to a school dance are sold for $10

true or false If x represents a random variable with mean 114 and standard deviation 40, then the standard deviation of the samp

Goshia [24]

Answer:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

6 0

3 years ago

Luke live 0.4 kilometer from a skating rink. Marie lives 0.25 kilometer from the skating rink. Who lives closer to the skating r

inessss [21]

Marie because if you put a 0 behind .4 that equals .40 and then you compare .25 and .40 therefore .25 is closer

3 0

3 years ago

Solve the system of equations. Enter your answer as an ordered pair (x, y). 4x+y=−1 −5x−2y=−4

777dan777 [17]

Answer:

Step-by-step explanation:

4x + y = - 1 -------------(I)

-5x - 2y = -4 -----------(II)

Multiply the equation (I) by 2 and then add the equations.

(I)*2 8x + 2y = -2

(II) <u>-5x - 2y = -4</u> {Now add and y will be eliminated}

3x = -6

x = -6/3

x = -2

Substitute x = -2 in equation (I)

4*(-2) + y = -1

-8 + y = -1

y = - 1 + 8

y = 7

6 0

2 years ago

Read 2 more answers

Write 6.39 repeated as a mixed number in simplest form? <br> please help ASAP !!

CaHeK987 [17]

Answer:

639/100

Step-by-step explanation:

6 0

3 years ago

The weight distribution of a vehicle specifies that the front wheels carry 55% of the weight. If a certain vehicle weighs 3890 l

mario62 [17]

Answer:

2,139.5 lbs

Step-by-step explanation:

A certain vehicle weighs 3,890 lbs.

The front wheels carry 55% of the weight.

Then,

3,890 lbs - 100%

x lbs - 55%

Write a proportion:

$\dfrac{3,890}{x}=\dfrac{100}{55}$

Cross multiply:

$100x=55\cdot 3,890$

$100x=213,950\\ \\x=2,139.5$

8 0

3 years ago