write a story problem that can be represented with the following equation:
8x + 3 = 27

Answer:

Step-by-step explanation:

Exact Form:

w

=

11/3

Decimal Form:

w

=

3.6 (6 is repeated)

Mixed Number Form:

w

=

3 2/3

Answer:

m∠DEF=29

Step-by-step explanation:

4y-7=2y+11

4y=2y+18

2y+18

y=9

2(9)+11= 29

4(9)-7=29

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:

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Answer:

3x-8

Step-by-step explanation:

Graph the line that has a slope of −13 and contains the point (3,−7)  intercept is 32.

straight line graph can be represented two form

cartesian form  ax+ by +c=0

slope intercept form  y=mx +c

Where m is slope and c is the intercept in y axis

Value of m = change in y/change in x

back to question :- slope is -13

So,  [y2-y1]/[x2-x1]=  -13

{y+7/x-3 } = -13

y+7 = -13x +39

for intercept just put x=0

so y = 39-7

y=32

y= -13x +32

slope = -13

intercept = 32

Graph the line that has a slope of -1/3 and contains the point (3-7)

Plot the point (3,-7)

slope = -1/3 means y decreases 1/3 when x increases by 1

Let x increase by 3, then y decreases by 3(1/3) = 1

Put your pencil at (3,-7)

Increase x by 3 to (6,-7)

Decrease y by 1 to (6,-8)

Plot the point (6,-8)

Draw the graph as a line thru (3,-7),(6,-8)

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Answer:

288

Step-by-step explanation:

Answer: (3,5)

Step-by-step explanation:

Answer:

18yi+ 21y^2

Step-by-step explanation:

answer 18 yi+21y2

step by step

Answer:

that will be 225 ... I think

Answer:

B

Step-by-step explanation:

Answer:

x-intercept (-14/9, 0), y-intercept (0, -14)

Step-by-step explanation:

0=-9x-14

9x=-14

x=-14/9

y=-9(0)-14

y=-14

Step-by-step explanation:

1.55 I was help to you..........

Answer:

for diamond A: -3.6 on top, -3 on left

for diamond B: -2 on left, 6 on right

for diamond C: 24 on top, -3 on right

Step-by-step explanation:

Answer:

Sorry but you aren't posting your answer again

Step-by-step explanation:

Answer:13.8

Step-by-step explanation:

Answer: =6x^2+17x−45

Step-by-step explanation:

=(2x+9)(3x+−5)

=(2x)(3x)+(2x)(−5)+(9)(3x)+(9)(−5)

=6x2−10x+27x−45

=6x2+17x−45

Answer:

[tex]6x^{2} -17x-45[/tex]

Step-by-step explanation:

Use distribution then combine like-terms to simplify

Answer: E

Step-by-step explanation:

To cancel out the Y you need to have both multiplied by each other

so the first equation get multiplied by 7 and the second one by 4

28y + -28y = 0 they cancel out

Answer:

4

Step-by-step explanation:

expand by distributing

2x-8+5x+15

combine like terms to simplify

7x+7

Jama works for ABC, pays 1/5 of his social service salary, 1/10 of his rent, 3/5 of his children's education with $ 1800 left, and attends night classes at university and earns $ 500.

produce all his wages?

Answer:

0.375

Step-by-step explanation:

3/8 = 0.375

Answer:

0.375

Step-by-step explanation:

Answer:

m<A = 120°

m<C = 45°

Step-by-step explanation:

We can use the triangle sum theorem to find the measures of the angles.

m<A + m<B + m<C = 180°

Then substitute in their given values.

12x + 12 + 15 + 3x + 18 = 180°

Now simplify the equation and you get

15x + 45 = 180°

Continue to solve

15x = 135

x = 9°

Now substitute this value of 9 for the angle expressions of <A and <C

(12 x 9) +12 = m<A

m<A = 120°

(3 x 9)+ 18 = m<C

m<C = 45°

Hope this helps. To check your answer you can add up all the answers to see if it equals 180°.

The true statements about the graph are as follows;

Given

The graphs of y = 4x - 2 and y = 2x – 6.

A  system of equations, also known as a set of simultaneous or an equation systems, is a finite set of equations for which we sought the common solutions.

To solve the graphs subtract equation 1 from equation 2.

[tex]\rm y-y=4x-2-2x+6\\\\0=2x+44\\\\2x=-4\\\\x=\dfrac{-4}{2}\\\\x=-2[/tex]

Substitute the value of x in equation 1

[tex]\rm y=4x-2\\\\y=4(-2)-2\\\\y=-8-2\\\\y=-10[/tex]

The point (-2.-10) is the only solution.

The true statements about the graph are as follows;

To know more about the system of equations click the link given below.

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Answer:

6x - 45

Step-by-step explanation:

Answer:

The answer is 3 + p × 7.....

.

If there is a 20% discount on a $55 sweatshirt, that sweatshirt would now only cost $44.

Answer: $44

Also: The 20% is $11

Answer: (a). M=7x180+39+700. (B) $731

Step-by-step explanation:

Equation to represent the given situation is 7(19.70 + 1.97 + m X 0.05) = 180.39; additional minutes, on average, you use each month is 82

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that;

Total cost for 7 month =$180.39

Let m be the average number of minutes  that exceeds 700 minutes every month

Equation formed;

7(19.70 + 1.97 + m X 0.05) = 180.39,

or,  7(19.70 + 1.97 + m X 0.05) = 180.39,

or, 21.67 + 0.05m = 180.39/ 7,

or, 0.05m = 25.77 – 21.67,

0.05m = 4.1

m= 82

Therefore,  equation for (a) : 7(19.70 + 1.97 + m X 0.05) = 180.39 and 82 will be the answer of (b)

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Answer:

As the ratio of the length of the arm of the old chair to the length of the arm of the new chair is 3/2, and the length of the old chair is 9 inches, hence the length of the arm of the new chair is 6 inches.