A well know Statistical Institution claims that the average College tuition for a law degree costs at least thirty five thousand dollars. Analyzing a sample of fifty law schools in the vicinity of the study we found the sample had a mean tuition of $33,450 with a population standard deviation of $5,978 per year. At 2% level of significance test the Institution's claim.

Answer:

Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]

Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]

Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]

Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]

Step-by-step explanation:

We are given [tex]f(x)=2x-6[/tex]

We need to match the transformations.

1) shifts f(x) 4 units down.

When function f(x) shifts k units down the new function becomes f(x)-k

In our case

[tex]g(x)=2x-6-4\\g(x)=2x-10[/tex]

So, Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]

2) Stretches f(x) by a factor of 4 away from x-axis

When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)

[tex]g(x)=2(4x)-6\\g(x)=8x-6[/tex]

So, Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]

3) Shifts f(x) 4 units right

When function f(x) shifts h units right the new function becomes f(x-h)

[tex]g(x)=2(x-4)-6\\g(x)=2x-8-6\\g(x)=2x-14[/tex]

So,  Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]

4) Compress f(x) by a factor of 1/4 toward the y-axis

When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)

[tex]g(x)=1/4(2x-6)\\g(x)=1/2x-3/2[/tex]

Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]

(Option Not given)

(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)

Answer:

1 is the answer why because its multiply both side 1

Answer:

first one i just don't find that sign of math in my computer but yeah

Step-by-step explanation:

HAPPY HOLIDAYS :)

The length of the median FQ in image of the two similar triangles is: 36.

The corresponding segments and median of similar triangles are proportional, therefore, we will have the following:

PC/FQ = PB/QE

Substitute

27/FQ = 18/24

FQ = (24 × 27)/18

FQ = 36.

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Answer:

y=50+12x y=100+9x

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

15x-9x = 6x

10+2 = 12

6x=12

x=2

Answer: x=2

Step-by-step explanation:

9x+10 = 15x-2

-9x         -9x

____________

10 = 6x-2

+2        +2

__________

12=6x

Divide

x=2

Answer:

A

C

and
D

Step-by-step explanation:

Answer:yes

Step-by-step explanation:yes

Answer:

the last 126 miles emma slept

Answer:

Answer is D.

Step-by-step explanation: When looking for distance, you want to find the sum of the *absolute value of 2 numbers* (or more). That is why you would want to add p and q.

Hope this helped. I'm really tired rn so sorry if this wasn't the best.

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

8 + 2(x - 6) = -2 + 2x - 2

Step 2: Solve for x

Here we see that x does indeed equal x.

∴ x = infinite amount of solutions.

Answer:

False

Step-by-step explanation:

This graph is not a function because it fails the vertical line test where you draw a vertical line through the graph and if the vertical line touches the graph more than once it fails the vertical line test which means it is not a function.

Hope this helps!

Answer:

x = $9.50

Step-by-step explanation:

85.50 / 9 = 9.5 sooo..

hope this helped!

Answer:

50= 2x2x5 is the prime factorization of 50.

Answer:

750

Step-by-step explanation:

brainliest please

Answer: positive

Step-by-step explanation:

two negatives equals a positive

Answer:

350 milliliters

Step-by-step explanation:

70% of 500 is 350

Answer:

Price demand function

Step-by-step explanation:

The price demand function is the function in which there is a relationship between the demand and the price of the product

The Price demand function is

[tex]= Price \times demand[/tex]

[tex]= p \times x[/tex]

hence, the price demand function represents that there is a relationship that lies between the demand and the price

Answer:

The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.

The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

A manufacturer can produce 1 plastic bowl in 1 minute

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the data given the equation can be framed:

The proportional relationship will be:

y ∝ x

y = kx

x = 1 y = 1

k = 1

y = x

Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

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Answer:

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Step-by-step explanation:

The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

We have to given that;

To find the dimensions of a line.

We know that;

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Thus, The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

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Answer:

Step-by-step explanation:

2AB=YZ(By parallel line theorem)

4x-8=21

4x=29

Answer:

Volume of cylinder is: Volume=1808.64 ft³

Step-by-step explanation:

Height of cylinder = 9 ft

Base diameter of cylinder = 16 ft

We need to find volume of cylinder .

The formula used is: [tex]Volume=\pi r^2h[/tex]

We need radius:

The radius = diameter/2 = 16/2 = 8 ft

Putting values and finding volume of cylinder

[tex]Volume=\pi r^2h[/tex]

[tex]Volume=3.14\times (8)^2\times (9) \\Volume=3.14\times 64\times (9) \\Volume=1808.64 \: ft^3[/tex]

So, Volume of cylinder is: Volume=1808.64 ft³

Answer:

B (2,28)

Step-by-step explanation:

Answer:

36-1x

Step-by-step explanation:

plz let me know if I'm right

Answer:

David gets £34, Egil gets £119 and Frances gets £153.

Step-by-step explanation:

Let the amount of money David gets be 2x, Egil be 7x and Frances be 9x.

7x = 2x + 85

7x - 2x = 85

5x = 85

x = 85 ÷ 5

x = 17

David (2x) = 2 × £17

                 = £34

Egil (7x) = 7 × £17

             = £119

Frances (9x) = 9 × £17

                     = £153

Answer:

28

Step-by-step explanation:

3x4 is 12

2x8 is 16

16+12 is 28

Answer:

1

Step-by-step explanation:

In order to add fractions they have to have a common denominator.

In this case we can multiply the fraction 3/4 by 2 to get 6/8.

Now we can add them:

[tex]\frac{6}{8} + \frac{2}{8} = \frac{8}{8} = 1[/tex]

Therefore, the answer to the question is 1.

I hope this helps!!

- Kay :)

Answer:

The other girls answer was correct

for the top boxes from left to right...

3.5 plus 4.5

bottom boxes

9.5 minus 3.5

Step-by-step explanation:

Answer:

table d

Step-by-step explanation:

functions can not have the same input twice

Answer:

A B and C repreasent functions

Step-by-step explanation: