What is the equation of the circle with center (0, 0) and (−4, 5) a point on the circle

Suppose a simple random sample of size n is drawn from a large population with mean mu and standard deviation sigma. The samplin

Sidana [21]

Answer:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

Since the distribution for X is normal then we can conclude that the distribution for the sample mean $\bar X$ is given by:

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

$\mu_{\bar X} = \mu$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

Since the distribution for X is normal then we can conclude that the distribution for the sample mean $\bar X$ is given by:

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

$\mu_{\bar X} = \mu$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}$

6 0

3 years ago

Read 2 more answers

At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and su

antoniya [11.8K]

Let assume
X for ice cream cones
Y for sundaes
X+Y=172
X=172-Y……..*
1.10X+2.35Y=294.20
Substitute * in the above equation
1.10(172-Y)+2.35Y=294.20
189.2-1.10Y+2.35Y=294.20
1.25Y=294.20-189.2
1.25Y=105 divide both sides by 1.25
Y=84
The substitute Y value in * equation
X=172-84
X=88
Therefore
88 ice cream cones and 84 sundaes were sold!!

4 0

3 years ago

Solve for x 3(5x + 4) - 20 - 13x = -4

Strike441 [17]

3(5x + 4) - 20 - 13x = -4
first use the distributive property with 3(5x + 4)

15x+12-20-13x=-4
combine like terms

2x-8=-4
add 8 to both sides

2x=4
divide both sides by 2

x=2

8 0

3 years ago

Read 2 more answers

Can u tell me is this test important or not

balu736 [363]

Answer:

Yes, indeed it is one of the most important examinations.

6 0

3 years ago

Find Theta in degrees. WILL MARK BRAINLIEST I PROMISE<3333

Semmy [17]

Answer:

$sin \alpha = \frac{opposite}{hypotenuse} \\ sin \alpha = \frac{8}{17} \\ sin \alpha = 0.470588235294117 \\ \alpha = {sin}^{ - 1} (0.470588235294117) \\ \alpha = 28.07 \: degrees$

3 0

3 years ago