select the name of the polygon. then select whether it is a regular polygon or not a regular polygon.

The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab

LiRa [457]

Answer:

a) 0.0082

b) 0.9987

c) 0.9192

d) 0.5000

e) 1

Step-by-step explanation:

The question is concerned with the mean of a sample.

From the central limit theorem we have the formula:

$z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$

a) $z=\frac{1224-1200}{\frac{60}{\sqrt{36} } }=2.40$

The area to the left of z=2.40 is 0.9918

The area to the right of z=2.40 is 1-0.9918=0.0082

$\therefore P(\bar X\:>\:1224)=0.0082$

b) $z=\frac{1230-1200}{\frac{60}{\sqrt{36} } }=3.00$

The area to the left of z=3.00 is 0.9987

$\therefore P(\bar X\:$

c) The z-value of 1200 is 0

The area to the left of 0 is 0.5

$z=\frac{1214-1200}{\frac{60}{\sqrt{36} } }=1.40$

The area to the left of z=1.40 is 0.9192

The probability that the sample mean is between 1200 and 1214 is

$P(1200\:$

d) From c) the probability that the sample mean will be greater than 1200 is 1-0.5000=0.5000

e) $z=\frac{73.46-1200}{\frac{60}{\sqrt{36} } }=-112.65$

The area to the left of z=-112.65 is 0.

The area to the right of z=-112.65 is 1-0=1

5 0

3 years ago

Hey plz anyone inbox me

Scilla [17]

Answer:

Hi

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Suppose John is a high school statistics teacher who believes that scoring higher on homework assignments leads to higher test s

EleoNora [17]

Answer:

A. R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.

Step-by-step explanation:

John is predicting test scores of students on the basis of their home work averages and he get the following regression equation

y=0.2 x +82.

Here, dependent variable y is the test scores and independent variable x is home averages because test scores are predicted on the basis of home work averages.

The coefficient of determination R² indicates the explained variability of dependent variable due to its linear relationship with independent variable.

We are given that correlation coefficient r= 0.82.

coefficient of determination R²=0.82²=0.6724 or 67.24%.

Thus, we can say that 67.24% of total variability in test scores is explained by its linear relationship with homework averages.

Also, we can say that, R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.

3 0

3 years ago

PLEASE HELP!! Which equation matches the table of values?

RoseWind [281]

The equation that represents the table of values is $y=(\frac{1}{4})^x$

Step-by-step explanation:

We need to find the equation that matches the table of values.

x y

0 | 1

1 | 1/4

2 | 1/16

3 | 1/64

So, when x =0 y=1 and when x=1, y=1/4

if $y=(\frac{1}{4})^x$

then putting x=0 we get y=1

x=1, we get y=1/4

x=2, we get y=1/16

x=3, we get y=1/64

So, the equation that represents the table of values is $y=(\frac{1}{4})^x$

Kindly check your options, as option D should be $y=(\frac{1}{4})^x$

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

5 0

3 years ago

Read 2 more answers

Find A U B U C. A){2,3,5,6,7,8,9,11,12}B){2,3,5,6,7,8,9}C){2,3,5,7,8,9,12}D){3,5,6,7,8,11,12}

Triss [41]

Answer: {2,3,5,6,7,8,9,11,12}

4 0

3 years ago