in the actual room, the distance between the front and back walls is 8 feet. what is the actual length of the front wall, in feet?

A linear model that best fits the overall pattern of points is given by the

regression line of the data.

Reasons:

a. Points on the graph are;

(6, 218),

The slope, b, regression line equation is given by the following formula;

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right) }{\sum \left(x_i - \overline x\right )^2 }}[/tex]

The regression line equation is; [tex]\overline y = b \cdot \overline x + a[/tex]

Where;

[tex]\overline x[/tex] = 18.732

[tex]\overline y[/tex] = 187.24

[tex]\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right)[/tex] = -4926.59

[tex]\sum \left(x_i - \overline x\right )^2[/tex] = 792.3944

Therefore;

[tex]b = \dfrac{-4926.59}{792.3944 } \approx -6.2173[/tex]

[tex]a = \overline y - b \cdot \overline x[/tex]

Which gives;

a = 187.24 - (-6.2173) × 18.732 ≈ 303.70

The equation of the line is therefore; [tex]\overline y = \mathbf{-6.2173 \cdot \overline x + 303.70}[/tex]

Using the above regression line equation, the linear model of the scatter

plot can be drawn as presented in the graph created with MS Excel.

b. The slope of the line is b = -6.2173

c. The relationship between price per serving and sodium per serving is

as follows;

When the price per serving increases by 1 cent, the sodium per serving

decreases by 6.2173 mg.

Learn more about the regression line formula here:

https://brainly.com/question/14747095

Answer:

$245,000

Step-by-step explanation:

Let the intial cost = x

[tex]100\% + 36\% = 136\% = 1.36[/tex]

[tex]1.36x = 333200[/tex]

[tex]x = \frac{333200}{1.36} [/tex]

[tex]x = 245000[/tex]

The strategy that won't help her to calculate 9 - 7 is (a) Make 10

The given parameters are:

[tex]Yellow = 7[/tex]

[tex]Red = 9[/tex]

To determine 9 - 7,

However, she cannot make 10.

This is so, because 9 and 7 are not up to 10

Hence, the strategy that won't help her to calculate 9 - 7 is (a)

Read more about subtraction at:

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Answer:

4900

Step-by-step explanation:

70^2 means 70*70

70*70=4900

Answer:

you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.

The area of the pennant made by Clara is 90 in²

Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.

Area of the rectangle = length * width = 6 in * 1 in = 6 in²

Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²

Area of the pennant = 6 in² + 84 in² = 90 in²

The area of the pennant made by Clara is 90 in²

Find out more on Area at: https://brainly.com/question/25292087

Answer:

90in^2

Step-by-step explanation:

Area of the rectangle = length times width = 6 x1 = 6 in^2

then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2

and the Area of the pennant is = 6 + 84 = 90 in

Step-by-step explanation:

Answer:

7.6%

Step-by-step explanation:

First the decrease

(100-12)%=88%

then the increase

(88)(1.05)=92.4%

The total decrease

(100-92.4)% = 7.6%

Hope this helps

Answer:

13

Step-by-step explanation:

25 x 2 = 50. 10% of 70 equals 7. 50 + 7 =  57. 70 - 57 = 13.

Cards given to her friend brad + cards sold online = cards givin

25+25=50

Amount of cards + cards givin = amount left

70-50=20

10% of 20=2

20-2=18

Tasha has 18 left

Hope this helps

Answer:

-4d

Step-by-step explanation:

L.c.m=15

15×2/5(d-10)-2/3×15(d+6)

3×2(d-10)-2×5(d+6)

6(d-10)-10(d+6)

6d-60-10d-60

6d-10d-60-60

-4d-0

-4d

Answer:

=8+2(5-x)

=8+10-2x

=18-2x

Answer:

hey am

I think that's be the answer

if you think it's not right

don't write

Answer:

9b+10s

Step-by-step explanation:

you are trying to find an expression for total cost after an unknown amount of hours. you need to multiply the number of hours (defined as b and s in this example) by the cost per hour given ($9/hr for the bike and $10/hr for the scooter).

this would result in the following expression: total cost=9b+10s

Answer:

thanks for the points again

Step-by-step explanation:

,(TT(TT)(TT)(TT)(TT)(TT)(TT

Answer:

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

6x + 5y = 10

5y = -6x + 10

y = (-6/5)x + 2

so a perpendicular line has slope 5/6

y = (5/6)x + b

plug in our desired point

3 = (5/6)6 + b

b = -2

y = (5/6)x - 2

I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.

One of those "Win the battle but lose the war" type situations.

Answer:

your trying to find out how much each cookie cost

from looking at this we can see that 2 cookies is 1 dollar so each cookie is 50 cents

Hope This Helps!!!

Answer:

e

Step-by-step explanation:

24*5/3=40

Answer:

7.44miles

Step-by-step explanation:

1km = 0.62miles

12km will be ; 0.62 × 12

= 7.44miles

Answer:

y = m x + b    standard form of straight line

y = 2 x + 5

The slope is m and = 2

the y intercept is 5  because when x = o y = 5

if y = 0 then x = -2/5 and would be the x intercept

x is the independent variable and y is the dependent variable

I am not familiar with your definitions for domain and range but

both x and y can vary from -∝ to = ∝

Correct me if im wrong po

Answer: $238

Step-by-step explanation:

120/6 = 20 shirts for $7

680 / 20 = 34 lots of shirts costing $7

the cost = 34 x 7 = $238

Answer:

238$

Step-by-step explanation:

680*6=4080

this is how many buttons used

4080/120=34

this is how many boxes of buttons

34*7=238

this is the amount

Answer:

(40*4)-(32*4)=32

160-128=32

Step-by-step explanation:

The decrease is  (95-68) = 27 .

As a fraction, the decrease is  27/95  of the original amount.

To change any fraction to a decimal, do the division:

                            (27)  divided by  (95) = 0.2842...

To change any decimal to a percentage, move the

decimal point two places that ==> way:

                            0.2842...  =  28.42... %Answer:

Step-by-step explanation:

[tex]\qquad[/tex]☀️ At first we need to find out the difference between 95 and 68.

[tex]\qquad[/tex][tex] \sf \longrightarrow 68 -95 \\[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow -27[/tex]

[tex]\qquad[/tex]☀️ Now, divide the number by "the starting number.

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{-27 }{97}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842[/tex]

[tex]\qquad[/tex]☀️ And finally, we have to multiply the result by 100 to get it in terms of percent.

[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842 \times 100[/tex]

[tex]\qquad[/tex][tex] \red{\bf \longrightarrow -28.42℅}[/tex]

[tex]\qquad[/tex]_________________________

Answer: 1/5, 6/5, 11/5.

Step-by-step explanation:

1/5 is the smallest, as it isnt even 1 whole! (5/5)

6/5 = 1 1/5.

11/5 = 2 1/5, so its the greatest

Answer:

Cost of 1 pound apple:4.80/6=2.4

cost of 9 pounds apple:2.4 ×9=21.6

Answer:

Some solutions of 9x−2y=18 are x=5 =−18 ; x=7 and y=19 ; x=9 and y=0 ; x=11 and y=9 and x=13 and y=18 .

Step-by-step explanation:

Answer:

(cotA − 1) (cotB − 1) = 2

Step-by-step explanation:

A+B= π/4 = 180°/4 = 45°

A+B=45°

∴ cot(A+B)=cot45°

∴ cotBcotA−1 / (cotB+cotA) = 1

⇒cotB + cotA = cotBcotA = 1

⇒cotB + cotA − cotBcotA + 1 = 0

⇒cotBcotA − cotB − cotA − 1 = 0

⇒cotBcotA − cotB − cotA − 1 + 2 = 0+2

⇒cotBcotA − cotB − cotA + 1 = 2

⇒cotB(cotA − 1) (cotA − 1) = 2

⇒(cotA − 1) (cotB − 1) = 2

Proved

Answer:

Hope this image helps you. (sorry if it's tiny writing.)

Step-by-step explanation:

Answer:

round to cent 20.59

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of quarters be x and nickels be y.

Given:

We have equations:

Solve the system by elimination, subtract 5 times the first equation from the second one:

Find the value of y:

Verify: