An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table:


Enrollment Month
January February March April May June
Actual 500 400 550 550 750 400
Predicted 410 450 650 650 600 450
Residual 90 −50 −100 −100 150 −50


Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the sum of the residuals is a large number.
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.

Answer:

C. j=2 and h=4

Step-by-step explanation:

Step 1: Create a system of equations for your problem based off what we know.

- we should know that the equation to find the perimeter of something is

[tex]P= 2l+2w[/tex] where P is the perimeter, l is the length, and w is the width.

- we know that the perimeter of Rectangle P is 20 inches and that the perimeter of Rectangle Q is 30

- we know the length and width of both rectangles

Using this information, lets set up our system.:

[tex]\left \{ {{20=2(j+4)+2h} \atop {30=2(3h)+2(j+1)}} \right.[/tex]

Step 2: Using the top equation we're going to try to solve for one of the variables. I chose to solve for variable j.

[tex]20=2(j+4)+2h[/tex]

Start by distributing 2 into j + 4.

[tex]20=2j+8+2h[/tex]

Now subtract 8 from both sides of the equation.

[tex]12=2j+2h[/tex]

Now isolate variable j by subtracting 2h from both sides of the equation.

[tex]12-2h=2j[/tex]

Now condense the equation into simple terms by dividing both sides by its GCF 2 then reorder to get j on the left.

[tex]j=6-h[/tex]

Step 3: Now that we solved for variable j we can now substitute j into one of our equations from the original system. I chose to use the bottom equation and chose to distribute it before substituting.

[tex]30=6h+2j+2[/tex]

Subtract two from both sides to isolate the variables

[tex]28=6h+2j[/tex]

Now we can plug j into our equation

[tex]28=6h+2(6-h)[/tex]

Step 4: Distribute 2 into 6-h

[tex]28=6h+12-2h[/tex]

Step 5: Combine like terms

[tex]28=4h+12[/tex]

Step 6: Subtract 12 from both sides of the equation

[tex]16=4h[/tex]

Step 7: Divide both sides by 4

[tex]4=h[/tex]

Now that we know that h=4 we can plug 4 into one of our earlier equations. I used j=6-h

[tex]j=6-4\\j=2[/tex]

Plug answers into either one of the original equations to check answer

Answer: The answer is health

Answer:

x by the box

D+22-x

Step-by-step explanation:

Answer:

158 in

Step-by-step explanation:

front/back faces: 8 * 3 = 24in

side faces: 8 * 5 = 40in

top/bottom faces: 3 * 5 = 15in

2 * (24 + 40 + 15) = 158in

This is incomprehensible, but I would be happy to help if you perhaps re-typed it :D

Answer:

15/7 = 2 1/7

16/6 = 2 4/6

12/5 = 2 2/5

48/7 = 6 6/7

Step-by-step explanation:

Answer:

the answer is 30!

Answer:

2. 1 1/4

3. 2 1/3

4. 1 2/3

5. 1 3/7

6. 2 2/5

7. 1/2

8. 1 1/2

9. 2 1/4

10. 3 8/9

11. 2

12. 2 2/3

13. 2 1/2

14. 4 2/7

Step-by-step explanation:

2. 5/4 = 1 1/4

3. 3/1 * 7/9 = 7/3 = 2 1/3

4. 2/1 * 5/6 = 5/3 = 1 2/3

5. 10/7 = 1 3/7

6. 12/5 = 2 2/5

7. 3/6 = 1/2

8. 2/1 * 3/4 = 3/2 = 1 1/2

9. 6/1 * 3/8 = 3/1 * 3/4 = 9/4 = 2 1/4

10. 35 / 9 = 3 8/9

11. 8/1 * 1/4 = 2 * 1 = 2

12. 8/3 = 2 2/3

13. 5/2 = 2 1/2

14. 30/7 = 4 2/7

Answer:

-64 is the answer

Answer:

c

Step-by-step explanation:

Answer:

263.76

Step-by-step explanation:

2×3.14×3² + 2×3.14×2×11 = 263.76

Answer:

33 or 900

Step-by-step explanation:

10+18+5= 33

10x18x5=900

Answer: 70

Step-by-step explanation: math

Answer:

The answer is D) 60

Step-by-step explanation:

Answer:

B (second equation down on left) is equal to B (equation 2 down on right)

C=F

D=A

A=C

Answer:

54

2(lb+bh+lh).

Use this formula ^

Answer:

96cm

Step-by-step explanation:

front/back triangles: (4 * 3) / 2 = 6cm

bottom rectangle: 4 * 7 = 28cm

side rectangle (left): 3 * 7 = 21cm

slanted rectangle: pythagoras - 3^2 + 4^2 = x^2

9 + 16 = x^2

25 = x^2

square root of 25 = 5

x = 5

7 * 5 = 35cm

6 * 2 + 28 + 21 + 35 = 96cm

Answer:

It is [tex]\frac{1}{2}[/tex] (12 × 4) = 24

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] (base × height) = area of triangle

[tex]\frac{1}{2}[/tex] (12 × 4) = area

area = 24

The dot above the 4 is solid so 4 is part of the solution.

Answer: X ≥ 4

Answer:

(+6x,+5y)

Step-by-step explanation:

To me its simple math by dividing these 2 numbers you get the slope

sorry i cant help much but this is what i can do also be sure to use rise over run before dividing

have a nice day

Answer:

B interquartile range

Step-by-step explanation:

hope this helps:)

Answer:

B. interquartile range

Hope this helps! Please give brainlist!!

Answer: 27

Step-by-step explanation: You have to divide. 814 divided by 31 is 26.2580645161, but you can round it to 27 so everyone can be on the bus, but with extra spaces

Answer:

27

Step-by-step explanation:

Answer:

angle b is 45° as it is alternative angle of d so equal to d.

Step-by-step explanation

now....

180 = 90+(90-45)+b

90+45+45

90+90

=180

Answer:

angle b is 45° as it is alternative angle of d so equal to d.

Step-by-step explanation

now....

180 = 90+(90-45)+b

90+45+45

90+90

The mean of the ages of the men that are given will be 22.1.

It should be noted that mean simply means average. The mean of the men will be:

= (27 + 20 + 20 + 19 + 19 + 25 + 24 + 21 + 22 + 24) / 10

= 221/10

= 22.1

Therefore, the mean of the ages of the men that are given will be 22.1.

Learn more about mean on:

https://brainly.com/question/1136789

#SPJ1

Answer:

The Quotient is 136 and the Remainder is 0

Step-by-step explanation

( I hope it helps ^^)

Answer:

2334546

Step-by-step explanation:

the answers is 2/3 /4/2 and 5/6

Answer:

B = 10.4

TTETEEETETTET