Mathematics High School

The scatter plot below shows the cost (y) of long distance phone call based on the number of minutes (x) the calls take. Part A. Draw a line of best fit on the scatter plot

Part B write the approximate equation of the line of best fit

It should be in slope intercept form.

Part C. Use your equation from part B to predict the cost of a long distance call that lasts 120 minutes. Be sure to show your work

Part D. Explain how you found your answer to Part C.

Answers

Answer 1

The scatter plot that shows the cost of long distance phone call is an illustration of a linear regression

Part A: Draw a line of best fit

See attachment for the line of best fit

Part B: The equation in slope intercept form

From the attached graph, the line passes through the points:

(x,y) = (0,0) and (40,4)

The equation is then calculated using:

y = y2/y1 * x

This gives

y = 4/40 * x

Evaluate

y = 0.1x

Part C: Predict the cost of long distance call of 120 minutes

This means that x = 120

So, we have:

y = 0.1 * 120

y = 12

Hence, the predicted cost of long distance call of 120 minutes is $12

Part D: Explanation of C

The answer in part C is calculated by substituting 120 for x in the equation of the line of best fit

Related Questions

The quantity z varies directly with w and inversely with x. When w = 12 and x = 4, z = -42. Find z when w = 11 and x = 7.

PLEASE HELP ME!!!!!!!

Answers

Given the joint variation and the constant of variation, the value of z when w = 11 and x = 7 is -22

How to solve variation?

z =( k × w) / x

where,

z = -42 w = 12x = 4k = constant of variation

-42 = (k × 12) / 4

cross product

4 × -42 = 12k

-168 = 12k

k = -168 /12

k = -14

Find z when w = 11 and x = 7

z =( k × w) / x

z = (-14 × 11) / 7

= -154 / 7

z = -22

Therefore, the value of z when w = 11 and x = 7 is -22

Learn more about variation:

https://brainly.com/question/6499629

I need help asap please help

Answers

Answer:

x=23 degrees

Step-by-step explanation:

(the box in the corner is 90 degrees)

180 the 3 sides on the triangle add up to be 180

180=90+66+x step1: combine like terms:add 90+66 together

180=156+x step2: -156 on both sides

23=x

x=23

340 to the nearest 100

Answers

Answer:

300

Step-by-step explanation:

It’s 300 because on the rounding scale, 4 means to round lower. Hope this helps.

A bicycle wheel travels 321 in for each revolution. What is the radius of the wheel

Answers

Answer:

51.1 ≈ r

Step-by-step explanation:

"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.

C = 2· π· r

What is the radius of the wheel ?

321 = 2· π· r, divide both sides of the equation by 2 π

(321/2·π) = r , use calculator, solve and round the answer

51.1 ≈ r

The scale factor for a model is 8 cm m Model : 11.23cm actual: 40.2 m

Answers

the answer is = 19 m

Drag the tiles to the correct boxes to complete the pairs.
Match the questions with their answers.

Answers

Divide the volume of the larger cube by the volume of the smaller cube.

1. (3/7 x 3/7 x 1/7) / (1/7)^3 = 9

Answer: 9

2. (2/6)^3 / (1/6)^2 = 8

Answer: 8

3. (1/3 x 2/3 x 2/3) / (1/6)^3 = 32

Answer: 32

4. (3/7)^3 / (1/7)^3 = 27

Answer: 27

102 chairs at 6 tables. Find the unit rate

A. 27 chairs/table
B. 7 chairs/table
C. 17 chairs/table

Answers

Answer:

C. 17 chairs per table

Step-by-step explanation:

102 (chairs) divided by 6 (tables) = 17 (chairs per table)

Answer:

Step-by-step explanation:

You could do 102 divided by 6

Which 102/6 would be 17. So that means there has to be 17 chairs per table

The ratio 125 : x is equivalent to the ratio x^2 : 125. What is the value of x?

Answers

Answer:

x = 25

Step-by-step explanation:

The proportion can be written using fractions and solved for x in the usual way.

[tex]\dfrac{125}{x}=\dfrac{x^2}{125}\\\\125^2=x^3\qquad\text{multiply by 125x}\\\\x=\sqrt[3]{125^2}=\sqrt[3]{5^6}=5^2\qquad\text{take the cube root}\\\\\boxed{x=25}[/tex]

i doont understand??

Answers

The person above ⬆️ is correct
Give him brainliest <3

PLEASE PLEASE HELP ME PLEASE

Answers

Answer:

you

because if your friend made a 3.3 then you make a 7 then that means your more consistant

Step-by-step explanation:

hope this helped

The volume of a right cylinder is 108π and its height is 12.

What is the length of the cylinder's radius?

Answers

Answer:

volume of a cylinder = π r^2 *h

108π=π*r^2*h

108=r^2*h

12=r^2

3.464=r

radius =3.464

Step-by-step explanation:

Brainliest would be appreciated

Ask for questions!

Answer:

The length of the cylinder's radius is 3

Step-by-step explanation:

A cylinders radius is found by the formula, r= √ v/πh

So, 108π/πh.

Because there is pi in both the numerator and denominator, we can cancel them out. This leaves the equation to be : r = √ 108/12.

r = √ 108/12

108/12 is 9.

r = √9

r = 3

Prove that: a + b + c / a^-1+ b^-1+ c^-1 = abc

Answers

Answer:

It's right

Step-by-step explanation:

(dk how to show prove but thank?

A football field is 120 yards long by 53yr wide. If a player runs diagonally from one corner to the opposite corner, how far will they travel

Answers

Answer:

They will travel about 131.18 yards.

Step-by-step explanation:

Which numbers do I need to multiply to find 8 times 56?

Answers

Step-by-step explanation:

Do you mean 8 times what is 56?

8×7 is 56

Need help with this problem

Answers

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

53 + 68 + x = 180

121 + x = 180

x = 180 - 121

x = 59°

Answer:

180 - 53 - 68 = 59

The third angle is 59°.

Step-by-step explanation:

What is 40 x 40 x 40 please help fast ASAP

Answers

40^3 or 4 times 4 times 4 times 10 times 10 times 10
Which is
64 times 1000
Which is
64000

it takes lisa 2/3 of an hour to to walk from her home to her college at a rate of 6km/h

How far apart are her home and college?

Answers

43/2 because you need to multiply

6km / 1 hour = x km / 2/3 hour

1(x) = 2/3(6)

X= 4

Find the values that will make the equations true.

options:

a = 49

a = 27.5

a = 7

a = 24.5

Answers

The value of a=7 will make the equation true

Which expression shows the factored form of 15x + 4

Answers

It doesn’t factor. If you draw it on graph its just a straight line with only 1 x intercept

Answer:

Step-by-step explanation:

The only factor you can use is H. This doesn't factor into anything nice (like the common factor would be a decimal which is usually not allowed when doing this kind of question.

Answer: The question is the answer. 15x + 4 or H

Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller

Answers

If mr fuller wants to put up fencing you need to find the area

The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet

What is the Perimeter of a Rectangle?

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P = 2 ( Length + Width )

Given data ,

Let the perimeter of the rectangular yard be = P

Now , the equation will be

The width of the rectangular yard W = 55 feet

The length of the rectangular yard L = 75 feet

And , the required fencing = Perimeter of rectangular yard

Perimeter of rectangular yard P = 2 ( L + W )

Substituting the values in the equation , we get

Perimeter of rectangular yard P = 2 ( 55 + 75 )

Perimeter of rectangular yard P = 2 ( 130 )

Perimeter of rectangular yard P = 260 feet

Therefore , the value of P is 260 feet

Hence , the perimeter of yard is 260 feet

To learn more about perimeter of rectangle click :

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The following are the temperatures in °C for the first 10 days in January:

3.8
,

8.7
,

−
1.5
,

−
8.8
,

0.8
,

−
9.4
,

−
9.2
,

−
5.4
,

−
0.3
,

9.7

Calculate the range.
Give your answer as a decimal.

Answers

Answer:

the range is 9.4

Step-by-step explanation:

the range is the highest minus the lowest temperature

range=9.7-0.3

=9.4

hope this helps

Tom wants the scale model to be 9 inches tall.
How wide should the scale model be?
A. 1.7 inches
B. 5.4 inches
O c. 15 inches
OD. 20 inches

Answers

Answer:

C 15

Step-by-step explanation:

9 = 12 3/4

20 3/4 = 15

enter the value of c when the expression 21.2x+c is equivalent to 5.3(4x-2.6). PLEASE GIVE ME AN EXPLANATION AS WELL. I DON’T WANT JUST AN ANSWER.

Answers

Well, I will not just give you a straight answer, since I do not have the resources to currently do so. But as a tip, I would try the substitution method to get rid of the ‘x’ variable and just solve for ‘c’ like normal. Your main expression should look like this, I believe:

21.2x+c = 5.3(4x-2.6)

To substitute h the is out, you could write this if it feels better for you:

21x+c = y and 5.3(4x-2.6) = y

Hope this helps!

Hi, I think the domain is 5 am I right?

Answers

Its 4.

Starts at -1 and goes to 3

3+1 =4

what is the distance formula?

Answers

Answer:

Distance formula. The formula for distance, if you know time (duration) and the average speed, is: d = v x t. where v is the velocity (average speed), t is the time and d is distance, so you can read it as Distance = Speed x Time. The result will depend on the unit of the speed metric, for example if speed is given in mph,

Step-by-step explanation:

A (m 1 ,n 1) and B (m 2 ,n 2) are the coordinates of the two given points in the coordinate plane.

The distance between the two points can be calculated using the distance formula, d = √ (m2 - m1)2 + (n2 - n1)2

Finally, express the given solution in proper units.

ASAP PLS
Write an equation to represent the following scenario: Ms. Cloutier’s wedding photographer requires a $1000 deposit, and then $250 for every hour she is working.

Answers

1000+(250•x)= y

x being the number of hours she’s working

please help me, thank you if you do

Answers

Step-by-step explanation:

q1) if aₙ=-11+7n, then for n=5

a₅=-11+7*5=24.

q2) if aₙ=65-100n, then for n=39

a₃₉=65-100*39= -3835.

HURRY PLEASE! I NEED HELP. PLEASE GIVE ME THE ANSWER

Use the table to describe the function.

A 2-column table with 6 rows. Column 1 is labeled x with entries negative 1,000, negative 0.1, negative 0.0001, 0.0001, 0.1, 1,000. Column 2 is labeled f (x) with entries negative 1.9999982, 1.78, 1.799998 times 10 Superscript 6 Baseline, 1.799998 times 10 Superscript 6 Baseline, 1.78, negative 1.9999982.

The end behavior of the function is that as
x →±∞, y approaches
.

The Limit of f (x) as x approaches infinity
.

The function has an asymptote at
.

Answers

Answer:

-2

y=-2

Step-by-step explanation:

Answer:

-2

y=-2

Step-by-step explanation:

Number 21 please help me solve it thank youu

Answers

Answer:

64 pi

Step-by-step explanation:

32 is diameter

diameter is circumference

2 circles

so 2*32=64

When one variable precedes the other in time and the correlation between them is high, which statement can be made with confidence?
A) The variable that comes earliest in time causes the other variable
B) There is a high level of association between the two variables
C)The two variables have an association with an outcome variable
D)There are no extraneous variables at work in the situation

Answers

Using correlation coefficients, it is found that the correct option is given by:

B) There is a high level of association between the two variables.

What is a correlation coefficient?

It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

In this problem, it is said that the correlation between them is high, that is, strong, hence there is a high level of association, which means that option B is correct.

More can be learned about correlation coefficients at https://brainly.com/question/25815006

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