(SAT prep) Find the value of x

Answer:

Step 1: Box A

Step 2: Box C

Step 3: Box A

Step 4: Box B

Step-by-step explanation:

Answer:

If the question has

What are the mean and standard deviation of the sampling distribution of the difference in sample means x¯F−x¯M ?

It is E

Step-by-step explanation:

AP classroom uses the example with different end questions.

The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.

Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:

[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]

And if

[tex]X = X_1 + X_2 + \cdots + X_n[/tex]

Then, its distribution is given as:

[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]

For this case, it is given that:

Estimated sample mean  = population mean

Estimated sample standard deviation = population std. dev / √n

where n = sample size

Thus, we get:

For sample of females, the distribution is [tex]X_F \sim N(\overline{x}_F = 8.8, s_F = 3.3/\sqrt{8})[/tex]
For sample of males, the distribution is [tex]X_M \sim N(\overline{x}_M =7.3, s_M = 2.9/\sqrt{8})[/tex]

Also, if we take distribution of difference between sample means([tex]X_F - X_M = X_F + (-X_M)[/tex], then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for [tex]-X_F[/tex] will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)

and standard deviation is: [tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{3.3^2/8 + 2.9^2/8} \approx 1.553 \: \rm minutes[/tex]

The distribution of difference between sample means is [tex]X_F - X_M \sim N(\overline{x} = 1.5, s = 1.533)[/tex] approximately

We need [tex]P(X_F - X_M < 0)[/tex]

Converting this distribution to standard normal distribution, we get:

[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98)[/tex]

From the z-tables, we get the p value for Z = -1.98 as 0.0239

Thus, we get:

[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98) \approx 0.0239[/tex]

Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.

Learn more about standard normal distribution here:

https://brainly.com/question/10984889

Answer:

1.33 or 1 1/3 pounds

Step-by-step explanation:

12 ÷ 9 = 1.33

Answer:

the answer is 5 3/8

Step-by-step explanation:

the common denoiminator of 4 and 8 is 8 so you multiply 3 by 2 like you did 4 to get 8 and you multiply 5 by 1 like you did 5 to get 5 and you add it all together

Answer:

4

Step-by-step explanation:

-48/2 ÷ (-6)

-24 ÷ (-6)

4

Answer:

New coordinates of  P' are:  P'(5, -3)

Hence, option B i.e. P'(5,-3) is correct.

Step-by-step explanation:

When a point A(x, y) is rotated 90° clockwise around the origin, we flip x and y and reverse the sign of x.  

Thus,  

The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:  

A(x, y) → A'(y, -x)

In our case, the point P(3, 5) is rotated 90° clockwise about the origin. Thus, the coordinates of  P' will be:

A(x, y) → A'(y, -x)

P(3, 5) → P'(5, -3)

Therefore, coordinates of P' are:  P'(5, -3)

Hence, option B i.e. P'(5,-3) is correct.

Answer:

130°

Step-by-step explanation:

∠JDG and ∠EDF are opposite angles. The measures of arcs for opposite angles always add up to 180°. Since the arc for ∠JDG is 50°, the arc for ∠EDF has to be 130°, because 50 + 130 = 180.

Answer:

-200

Step-by-step explanation:

Answer:

-200

Step-by-step explanation:

200 - 400 = -200

Answer:

543.6

Step-by-step explanation:

answer is 543.6 :)

Answer:

[tex]\large\boxed{b = -0.5}[/tex]

Step-by-step explanation:

Hope this helps, have a great day

Answer:

Move all terms not containing  b  to the right side of the equation.

b = − 0.5

Step-by-step explanation:

Answer:

Figure B

Have a good day

Answer:

x=2

Step-by-step explanation:

Answer: 10%

Step-by-step explanation: because if you subtract 50-40 you get 10 and then you just add the % sign and you can cross out d and b.

hope this helps you

Answer:

20%

Step-by-step explanation:

Since, 40/50 is equal to 80/100 we can tell that the 2 are 80% close to eachother, but there is 20% difference!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

x = (6[tex]\sqrt{2}[/tex])/(4[tex]\sqrt{2}[/tex] -3)

Step-by-step explanation:

sin60 degree = [tex]\sqrt{3}[/tex] /2

cos30 degree = 1/2

tan 45 degree =  sin45 degree / cos45 degree = ([tex]\sqrt{2}[/tex]/2)/([tex]\sqrt{2}[/tex] /2) = 1

cot 30 degree = cos30 / sin30 = ([tex]\sqrt{3}[/tex] /2)/(1/2)  = [tex]\sqrt{3}[/tex]

so, let us plug the above values in the given eqution and solve for x

3([tex]\sqrt{3}[/tex] /2 ) + x(1/2) *1 = x([tex]\sqrt{3}[/tex])

3([tex]\sqrt{3}[/tex] /2 )  = x([tex]\sqrt{3}[/tex]) -x(1/2)

3([tex]\sqrt{3}[/tex] /2 )  = x(([tex]\sqrt{3}[/tex])-(1/2)) (by taking x as a common factor)

3([tex]\sqrt{3}[/tex] /2 ) = x(((2[tex]\sqrt{3}[/tex])-(1))/2))    (making the same common denominator

now devide both sides by (((2[tex]\sqrt{3}[/tex])-(1))/2))

x  = 3([tex]\sqrt{3}[/tex] /2 )  / (((2[tex]\sqrt{3}[/tex])-(1))/2))

x = 3([tex]\sqrt{3}[/tex] ) / ((2[tex]\sqrt{3}[/tex])-(1))

Answer:

Step-by-step explanation:

x≠ n*π, where n is an integer

because x/π can not be an integer

Answer:

47 pigs and 55 chickens

Step-by-step explanation:

Answer:

White paint is 8

Blue paint is 4

Red paint is 12

The recipe will yield 24 cups of lilac paint if you are talking about the problem i had earlier on my math homework

Answer:

m = - 2

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Answer:

$34.20

Step-by-step explanation:

total spent =3.80*9=$34.20

NUMBER: 17        SQUARE: 289        SQUARE ROOT: 4.123

Hope this helps a little.

Answer:

a. 4 and 5

Step-by-step explanation:

We are given 17 squared, and are asked on whether which of it is between the following pairs.

Squaring a number always gives it a smaller number since you are trying to find a number times itself to make the number in the square root.

Therefore by this knowledge, a. would be the most reasonable answer, since 17 is quite a small number, squaring it will equal something smaller.

Answer:

Yes, they are.

Step-by-step explanation:

Answer:

R = 4

s = -3

Step-by-step explanation:

r + 4s = -8

3r + 2s = 6

there are several ways to solve this system but i chose the elimination method and multiplied the second equation by -2 to get:

  -6r - 4s = -12 and added it to the first equation

+ 1r + 4s =  -8

 -5r = -20

   r = 4

plug in to find 's':  4 + 4s = -8

                              4s = -12

                               s = -3

Answer:

Stacy is incorrect. Dilations do not affect the angles of a given figure since dilations create parallel lines and the angles on parallel lines are congruent.  

Step-by-step explanation:

just took the quiz :)

Answer:

5

Step-by-step explanation:

Simplifying

(8x + 9) + -1(6x + -1) = 0

Reorder the terms:

(9 + 8x) + -1(6x + -1) = 0

Remove parenthesis around (9 + 8x)

9 + 8x + -1(6x + -1) = 0

Reorder the terms:

9 + 8x + -1(-1 + 6x) = 0

9 + 8x + (-1 * -1 + 6x * -1) = 0

9 + 8x + (1 + -6x) = 0

Reorder the terms:

9 + 1 + 8x + -6x = 0

Combine like terms: 9 + 1 = 10

10 + 8x + -6x = 0

Combine like terms: 8x + -6x = 2x

10 + 2x = 0

Solving

10 + 2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + 2x = 0 + -10

Combine like terms: 10 + -10 = 0

0 + 2x = 0 + -10

2x = 0 + -10

Combine like terms: 0 + -10 = -10

2x = -10

Divide each side by '2'.

x = -5

Simplifying

x = -5

made by TheRealMarinette

Answer:

Radius-16

Diameter-32

Step-by-step explanation:

I think

Answer:21.87

Step-by-step explanation:

196.83 divided by 9

Answer:

They each cost $21.87

Step-by-step explanation:

If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.

Answer:

x = -11

m<B = -43

m<C = -22

Step-by-step explanation:

To solve for x, solve (3x-10) + (2x) + 65 to get 5x+55. Simplify to 5x = -55. This can simplify further to x = -11. Insert -11 as x into the angles.

I hope this is correct and helps!