The number of hours of TV watched each week by 8 seventh grade students is shown below.

11, 7, 9, 3, 3, 8, 10, 5











a. What is the mean number of hours of TV watching?


b. Mean absolute deviation =


c. Explain the meaning of the mean absolute deviation as it relates to the number of hours of TV watched.

Answer:

A) 1020 cm²

Step-by-step explanation:

8 sides

2[(½×15×16.4) + (½×10×17.3) + (½×15÷23.8) + (½×10×24.2)]

2(510)

1020 cm²

Answer:

1020 cm²

Step-by-step explanation:

A = 2×15×16.4/2 + 2×10×17.3/2 + 2×15×23.8/2 + 2×10×24.4/2

= 15×16.4 + 10×17.3 + 15×23.8 + 10×24.4

= 246 + 173 + 357 + 244

= 1020 cm²

Answer: 1. it is being rotated by -180 degrees.

2. two different ways to get from a pre image to a image is to dilate and rotate it.

Step-by-step explanation:

The sequence of transformations is

From the question, we have the following parameters that can be used in our computation:

ABCDE and A'B'C'D'E

Also, we can see that

The point in different directions, share the same center and are in adjacent quadrants

So, a possible transformation is

A reflection across the x-axis followed by the y-axis and vice versa

Another possible transformation is

A 180 degrees rotation

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Answer:

The area of the rectangle is given by the expression "20x² - 10x - 30".

Step-by-step explanation:

The area of a rectangle is given by the product of it's dimensions. This is shown in the formula bellow:

area = width*height

In this case the width is an expression, so we need to multiply the numeric part of each mnemonic

area = 5*(4x² - 2x - 6)

area = 20x² - 10x - 30

The area of the rectangle is given by the expression "20x² - 10x - 30".

Answer:

D

Step-by-step explanation:

If the original price is x and you deduct 3, you'l have x - 3.

If you buy 4 of them, you multiply that price by 4, giving you 4(x - 3).

Then, if that value is equal to 27, you get 4(x - 3) = 27

Answer:

D

Step-by-step explanation:

We can make each part of the problem into a expression, and combine them.

Part 1: A picture frame that normally costs $x is discounted by 3.

x-3

Part 2: I decided to purchase 4 of the discounted picture frames

4(x-3)

You are buying 4, and each costs x-3.

Part 3: The total cost of the four frames, excluding tax, is $27.

4(x-3)=27

Answer:

[tex]\frac{1}{\\3}[/tex]

Step-by-step explanation:

±[tex]\sqrt{ \frac{1}{9}[/tex]  = ± [tex]\frac{\sqrt{1}}{\sqrt{9}}[/tex]  = ± [tex]\frac{1}{3}[/tex]

Answer:

Answer:

The volume for the triangular prism is 40.5 cubic inches.

Step-by-step explanation:

Given:

The base of a triangular prism has an area of 18 square inches .  

And the height is 4.5 inches.

Now, to get the triangular prism volume.

The base area = 18 square inches.

Height = 4.5 inches.

Now, to get the volume of prism we put formula:

[tex]Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.[/tex]

Therefore, the volume for the triangular prism is 40.5 cubic inches.

The volume of the triangular prism is 81 cubic inches.

To calculate the volume of a triangular prism, you can use the formula:
Volume = Base Area * Height
Given:
- The base area of the triangular prism is 18 square inches.
- The height of the prism is 4.5 inches.
Plug these values into the formula:
Volume = 18 square inches * 4.5 inches
Multiply these values:
Volume = 81 cubic inches

So, the volume of the triangular prism is 81 cubic inches.

Answer:

The balanced amount is $3130.25.

Step-by-step explanation:

Given : Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%.

To find : The balance after 5 years if it compounded yearly ?

Solution :

Using compound interest formula,

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where, P=$2500 is the principal

r=4.6%=0.046 is the interest rate

t=5 years

Substitute the values,

[tex]A=2500(1+\frac{0.046}{1})^{5\times 1}[/tex]

[tex]A=2500(1.046)^{5}[/tex]

[tex]A=2500\times 1.2521[/tex]

[tex]A=3130.25[/tex]

Therefore, the balanced amount is $3130.25.

Answer:

x=2, y=12

STEP BY STEP-

Replace the Y in 2x+3y=40 for X+10, because y=x+10. You now have 2x+3(x+10)=40. Now multiply the X and the 10 by 3, so you have 2x+3x+30=40. Combine like terms to get 5x+30=40. Subtract the 30 on both sides so you get 5x=10. Divide by 5 and that gives you the solution for X (2). Then, plug 2 in for X in the equation y=x+10. You now have Y=2+10. Combine like terms and you get 12, so Y=12.

Sorry that I'm so bad at explaining things

Final answer:

Substitute y = x + 10 into 2x + 3y = 40, simplify to 5x = 10, solve for x, then substitute x into the second equation to find y. The solution is x = 2 and y = 12.

Explanation:

The solution to the system of equations 2x + 3y = 40 and y = x + 10 can be found by substituting the second equation into the first. This is a common method for solving systems of linear equations, which involves elimination and substitution. We substitute y from the second equation into the first to get 2x + 3(x + 10) = 40, which simplifies to 2x + 3x + 30 = 40. After combining like terms, we have 5x = 10, which gives us x = 2. We then substitute x back into the second equation to find y. If x = 2, then y = 2 + 10, which means y = 12.

Answer:

The circumference of the circle in terms of π is 8π.

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Step-by-step explanation:

The circumference of the circle = 2*π*r

r = radius

r = d/2

r= 8cm/2 = 4cm

π = 3.14

The circumference of the circle = 2π(4)= 8π , so we have:

The circumference of the circle in terms of π is 8π.

Using pi = 22/7, we have:

The circumference of the circle = 2* 22/7 * 4 = 8* 22/7 = 25.14 cm, so we have:

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

Using pi = 3.14, we have:

The circumference of the circle = 2* 3.14 * 4 = 8* 3.14 = 25.12 cm, so we have:

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Here we want to see which statement is correct about a circle with a diameter of 8cm.

The correct options are

We know that for a circle of diameter D:

So our circle of diameter of 8cm has:

And if pi = 22/7, the circumference is:

C = (22/7)*8cm = 25.14cm

Then the correct statements are:

If you want to learn more about circles, you can read:

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The big pine tree is approximately 64 feet tall, based on Trevor's estimates of its shadow and the building's shadow.

To find the height of the big pine tree, we can use proportions based on the relationship between the lengths of the shadows and the heights of the objects.

Let's denote:

[tex]- \( S_t \)[/tex] as the length of the shadow of the tree,

[tex]- \( H_t \)[/tex] as the height of the tree,

[tex]- \( S_b \)[/tex] as the length of the shadow of the building, and

[tex]- \( H_b \)[/tex] as the height of the building.

From Trevor's estimates:

[tex]- \( S_t = 48 \)[/tex] feet,

[tex]- \( S_b = 18 \)[/tex] feet, and

[tex]- \( H_b = 24 \)[/tex] feet.

We can set up a proportion to solve for [tex]\( H_t \):[/tex]

[tex]\[ \frac{H_t}{S_t} = \frac{H_b}{S_b} \][/tex]

Substituting the given values:

[tex]\[ \frac{H_t}{48} = \frac{24}{18} \][/tex]

Cross-multiplying:

[tex]\[ 18 \times H_t = 24 \times 48 \][/tex]

[tex]\[ 18H_t = 1152 \][/tex]

[tex]\[ H_t = \frac{1152}{18} \][/tex]

[tex]\[ H_t = 64 \][/tex]

Therefore, the big pine tree is approximately 64 feet tall.

The complete question is:

EVALUATE Trevor took big steps to find the length of the shadow of the big pine tree in front of the school. He estimated that the shadow was 16 yards long, or about 48 feet. He also stepped off the shadow cast by the two-story school building and estimated that its shadow was 18 feet long. Trevor thinks the building is 24 feet tall. About how many feet tall is the big pine tree?

Answer:

Using the formula of 4/3pir^3, the answer is

Step-by-step explanation:

1) Divide the diameter by 2

2) Plug into your formula

3) cube root it

4) multiple 4

5) Divide the answer by 3

6) use a calculator to multiple the answer with pi

Answer:

F) Step 1

Step-by-step explanation:

1,000+200+50=1,250, not 25

Martin made his first mistake in Step 2.

Martin made his first mistake in Step 2.

In Step 2, Martin subtracted 25 from both 1,000 and 200, correctly. However, for the third number, 50 / 25 is actually 2, not 25. Therefore, the correct calculation should be (50 / 25) instead of (50 - 25).

So, the correct calculation in Step 2 should be (1,000 - 25) + (200 - 25) + (50 / 25) = 975 + 175 + 2 = 1,152.

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Answer:

A, B, D, E

Step-by-step explanation:

Got it right on edge

The area of a circle depends on the length of the radius.

A circle is the locus of a point such that its distance from a fixed point known as center is always constant.

Area of a circle = π * radius²

Area of a sector = (central angle / 360) * π * radius²

Hence:

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Answer:

Both are C.

Step-by-step explanation:

16.8 gallons of water is equal to 67.2 quarts and 134.4 pints.

Final answer:

To convert gallons to quarts, multiply the number of gallons by 4, which gives us 67.2 quarts (Option C). To convert gallons to pints, multiply the number of gallons by 8, resulting in 134.4 pints (Option C).

Explanation:

The question pertains to converting units of volume from gallons to quarts and pints. Given that the aquarium has a capacity of 16.8 gallons and knowing that there are 4 quarts in a gallon, we multiply 16.8 by 4 to find the capacity in quarts:

16.8 gallons × 4 quarts/gallon = 67.2 quarts

Next, to find the number of pints, we consider that there are 8 pints in a gallon (since each quart is equivalent to 2 pints, and there are 4 quarts in a gallon). Thus, we multiply:

16.8 gallons × 8 pints/gallon = 134.4 pints

Answer:

28.

Step-by-step explanation:

28 x 5 = 140

140 divided by 28 = 5.

5 hours.. 140 cupcakes. You divide the amount by the hours, showing you that 28 cupcakes per hour is the answer.

Answer: Per hour, Robin makes 28 cupcakes.

Step-by-step explanation:

To find the unit rate, you are essentially finding one of something. In this case you were finding out how many cupcakes you could make in ONE hour. To do this, you had to look at the information you already had. You knew that 140 cupcakes were made in 5 hours. So the fraction is 140/5. If you divide the bottom and top by five, your new equation would be 28/1.

(Vote me brainliest answer please)

Answer:

A

Step-by-step explanation:

70% of 55 is 38.5

or u could do 30% of 55 = 16.5

55 - 16.5 = 38.5

Answer:

Step-by-step explanation:

Discount = 30% of 55

[tex]=\frac{30}{100}*55\\\\=0.3*55\\\\=16.5\\\\[/tex]

= $ 16.50

Price after discount = 55 - 16.50 = $38.50

Answer:

0.57

Step-by-step explanation:

10x0.57=5.7

The equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

Step-by-step explanation:

Given,

x = 8t+3

y= 9t+3

First, convert both the equations in terms of t for comparison.

x = 8t + 3

x - 3 = 8t

t = [tex]\frac{x-3}{8}[/tex]

Similarly,

y = 9t + 3

y - 3 = 9t

t = [tex]\frac{y-3}{9}[/tex]

Now, comparing both equations

[tex]\frac{x-3}{8}[/tex] =  [tex]\frac{y-3}{9}[/tex]

9x -27 = 8y -24

9x - 3 = 8y

or

y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex]

Hence, the equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

Answer:

2

Step-by-step explanation:

To figure this out, you must use the triangle inequality theorem. It says that the sum of 2 sides of the triangle should be more than the third side. If you add 8 and 12, you get less than 24 but if you add 12 and 24 or 8 and 24, you will get more. So, there are only 2 triangles! I hope this helps!

Answer:

D

Step-by-step explanation:

Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is

[tex]\frac{BC}{SC}[/tex] = [tex]\frac{AB}{RS}[/tex], substitute values

[tex]\frac{BC}{5}[/tex] = [tex]\frac{9}{3}[/tex] = 3 ( multiply both sides by 5 )

BC = 5 × 3 = 15 → D

Answer:

BC=15, so D

Step-by-step explanation:

First, let's annotate. on line AB, write 9. RS, 3. SC, 5. These are the measurements of lines, not angles. We're trying to find the length of BC, the whole bottom side. Also, all of the little squares represent 90° angles, which means the triangles are also rational.

I REALLY hope this helps. If not, I encourage you to watch videos on dilations/rational triangles.

Answer:

Step-by-step explanation:

Decimal numbers

Answer:

Real

Step-by-step explanation:

Answer:

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

we have

using a graphing tool

see the attached figure

For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function

so

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

The positive difference between the maximums of functions g and f is 2

From the question, we have the following parameters that can be used in our computation:

f(x) = -x² + 4x + 6

So, the x of the vertex is

x = -4/2 * -1

x = 2

So, the maximum is

Max = -2² + 4(2) + 6

Max = 10

From the graoh, we have

Max = 12

So, we have

Difference = 12 - 10

Difference = 2

Hence, the positive difference is 2

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Answer:

449.40475

Step-by-step explanation:

This is actually quite simple.

all you have to do is follow order of operations-pemdas!

Answer:

The answer is -449.40475.

Answer:

left

Step-by-step explanation:

if she pushes it right then she would have to push it left back to her to work on it

It needs to move to the left

Answer:

Mean absolute deviation = 1.6.

Step-by-step explanation:

The  mean  =  (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10

= 7.

List the differences from the mean:

4 - 7 = -3

-3

-1

-1

0

1

1

1

2

3

Sum of the absolute value of the difference

=  3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3

= 16.

So the Mean Absolute deviation = 16 / 10 = 1.6.

Answer:

n > -24  The circle is open. The arrow points right.

Step-by-step explanation:

To solve for n, divide both sides by -2/3.

When you divide an inequality by a negative number, reverse the inequality.

Here < becomes >.

Dividing by a fraction is done by multiplying by its reciprocal.

16 ÷ -2/3 becomes 16 × -3/2.   That's -24.

The open circle means not equal to.

n is all the numbers greater than -24, so the arrow points right.

Answer: b d e

Step-by-step explanation:

Answer:

9,000+800+50+5

Step-by-step explanation:

Step-by-step explanation:

nine thousand eight hundred fifty five

t