The table shows the mileages x (in thousands of miles) and the selling prices y (in thousands of dollars) of several used automobiles of the same year and model.
Mileage, x: 22 14 18 30 8 24
Price, y: 16 17 17 14 18 15
a.) Use a graphing calculator to find the equation of the line of best fit. Round the slope to the nearest tenth and y-intercept to the nearest integer.
y=
b.) Identify the correlation coefficient. Round to the nearest thousandth.
r=
Interpret the correlation coefficient.
the data show a ___ ___ correlation.

Answers

Answer 1

Answer:

ŷ = -0.18363X + 19.71681

-0.9685

Step-by-step explanation:

Given the data:

Mileage, x: 22 14 18 30 8 24

Price, y: 16 17 17 14 18 15

Using the online regression calculator :

The regression equation obtained is :

ŷ = -0.18363X + 19.71681

Where ;

y = predicted variable

- 0.18363 = slope or gradient

X = predictor variable

19.71681 = intercept

The correlation Coefficient R = -0.9685

This signifies a strong negative relationship between the x and y variable.

Answer 2

The line of best fit has an equation of:

y = -0.1875x + 19.625

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the mileages (in thousands of miles) and y the selling prices(in thousands of dollars) of used automobiles.

Plotting the points using geogebra graphing calculator, the line of best fit has an equation of:

y = -0.1875x + 19.625

Therefore the slope is -0.1875 and the y intercept is 19.625

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The Table Shows The Mileages X (in Thousands Of Miles) And The Selling Prices Y (in Thousands Of Dollars)

Related Questions

Please help me get the answer

Answers

Answer:

b = 40°

Step-by-step explanation:

Since PQ = RQ, then Δ PQR is isosceles

Thus the 2 base angles are congruent

∠ PRQ  = 180° - 140° = 40° ( adjacent angles are supplementary )

Then

∠ QPR = ∠ PRQ = b = 40°

Answer:

40 degrees

Step-by-step explanation:

The image says that PQ=RQ which makes this triangle isosceles. To solve you must remember that in isosceles triangles the two base angles are always congruent. In this case, the two bottom angles are the bases. So we must first solve for m<QRP. To do this use complementary angles to make the equation m<QRP=180-140. So m<QRP=40 which means b=40 also.

A female cheetah left her cubs to hunt for food. She sprinted 30 m away from her den in two seconds. Next, she turned around and traveled 10 meters back toward her den in three seconds. She suddenly stopped and listened intently for two seconds. Then, She traveled 40 meters away from her den in four seconds. (can yall please help me how do I make a graph to calculate the average speed )​

Answers

Answer:

Step-by-step explanation:

A female cheetah left her cubs to hunt for food. She sprinted 30 m away from her den in two seconds. Next, she turned around and traveled 10 meters back toward her den in three seconds. She suddenly stopped and listened intently for two seconds. Then, She traveled 40 meters away from her den in four seconds. (can yall please help me how do I make a graph to calculate the average speed )​

Answer:

Step-by-step explanation:

A female cheetah left her cubs to hunt for food. She sprinted 30 m away from her den in two seconds. Next, she turned around and traveled 10 meters back toward her den in three seconds. She suddenly stopped and listened intently for two seconds. Then, She traveled 40 meters away from her den in four seconds. (can yall please help me how do I make a graph to calculate the average speed )​

1. Write an algebraic expression for the total number of minutes in 4 hours and m minutes.

Answers

Answer:

4+m=4m

Step-by-step explanation:

Because 4 plus m is 4m

An acute angle θ is in a right triangle with sin θ = six sevenths. What is the value of cot θ?
seven divided by the square root of thirteen

square root of thirteen divided by six

six divided by the square root of thirteen

square root of thirteen divided by seven

Answers

Answer:

[tex]\frac{\sqrt{13} }{7}[/tex]

Hope this helps <3

round to 3 SF 7.8436 its urgent​

Answers

Any significant number is any number after the first non-zero number so therefore the answer is 7.84

Can someone help me find the point having a little trouble

Answers

Answer:

slope 3

y-intercept (0,5)

x        |      Y

-5/3           0

0                5

Step-by-step explanation:

make your first point at y 5

How much of a 3/4 cup serving is in a 2/3 of yogurt

Answers

To figure this problem out, we need to divide 2/3 by 3/4.

2/3 / 3/4 = 8/9 or 0.888888 repeating.

Therefore, there are 8/9 of the 3/4 cup servings in 2/3 cup of yogurt.

Plot the image of point Q under the translation (x,y)\to(x-3,y+4)(x,y)→(x−3,y+4)

Answers

Answer:

76

Step-by-step explanation:

A department store buys 300 shirts for a total cost of 7,200 and sells them for $30 each. Find the percent markup.

Answers

Step-by-step explanation:

7200 ÷ 300 = 24

30 - 24 = 6

6/24 × 100/1 = 25%

The markup percent of 300 shirts is 25%.

What is Markup price?

Markup price is defined as the difference of the selling price and the cost price of a product.

Markup percent can be found as,

Mark up % = profit / cost price × 100.

Given that,

The cost price for 300 shirts is 7200.

And, the selling price for each shirt is $30.

Then the selling price for all 300 shirts is 300 × 30 =$9000.

The markup percent can be found by taking the ratio of the difference of the selling and cost price to the cost price and then multiplying it by 100 as below,

Mark up percent = (Selling price - Cost price)/ Cost price × 100%

                           = (9000 - 7200) / 7200 × 100%

                           = 1 / 4 × 100%

                           = 25%

Hence, the percent markup is 25%.

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Solve the function below for y when x=12

Answers

Answer:

y = -8

Step-by-step explanation:

2y=-3x+20

2y=-3(12)+20

2y=-36+20

2y=-16

y=-8

Answer:

y = -8

Step-by-step explanation:

2y = -3x + 20

2y = -3(12) + 20

2y = -36 +20

2y = -16

y = -16/2

y = -8

Solve the following equation using the zero product property.
5(-v-5) x 3(v-8)=0
I just wanted to ask if the correct answers are -5 and 8.

Answers

Answer:

yes -5 and 8

Step-by-step explanation:

yeah i don’t know math

please help me....

Answers

Answer:

I think its 8

Step-by-step explanation:

Hello, please help me ​

Answers

Answer:

The second answer is correct.

Step-by-step explanation:

1 quart = 0.95 litres

15 quarts = 15 quarts * 0.95 litres/quart, which is the second answer.

Can someone plz help me with these

Answers

Answer:

Step-by-step explanation:

1. -2

2. 3 ⅓

3. -6.2

4. -21.6

5. -19.8

6. 16.8

7. 36

8. -2.10

9. -8.20

10. 31.5

11. -20

12. -⁴/9

13. 9

14. ½

Find the Unit Rate in decimal representation. Round to the nearest hundredth, if
necessary. Do not enter the units of measurement.
16 lb for $3.99

Answers

Answer:

$4.1

Step-by-step explanation:

To find the Unit Rate, you have to find how much it cost of 1 lb. So, you have to divide 16 and 3.99

16/3.99

= 4.01002506

≈ $4.1

the graph shows function j, a transformation of
[tex]f(x) = {x}^{ \frac{1}{2} } [/tex]
replace b and h to create the equation for function j
[tex]j(x) = (bx + h) {}^{ \frac{1}{2} } [/tex]

Answers

Answer:

J(x)=(-1x+4)^1/2

Step-by-step explanation:

The value of b and h are -1 and 4 after applying the transformation to the parent function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

The graph shows function j, a transformation of f(x)

[tex]\rm f(x) =x^{\dfrac{1}{2} }[/tex]

First plot the above function on the graph paper of the coordinate plane.

From the graph,

The domain of the function f(x) is all real numbers

The range of the function f(x) is all real numbers.

As we can see in the graph of function j(x)

To find the equation for the function j(x):

Applying transformation to the function f(x)

x → (x + 4)

The function will shift 4 units right

[tex]\rm F(x) =(x+4)^{\dfrac{1}{2} }[/tex]

Applying the second transformation:

x → -x

[tex]\rm J(x)=(-x+4)^{\dfrac{1}{2}}[/tex]

The function will reflect at the line x = 2

Thus, the value of b and h are -1 and 4 after applying the transformation to the parent function.

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which line has a slope of zero? (Hint:Think Hoy VUX/slpe man)

Answers

Answer:

The answer will be listed below.

Step-by-step explanation:

I don't see any options, but to find a line with a slope of zero, the line must be straight either vertically or horizontally.

A vertical line has a slope of zero.

Which expression represents the phrase?
"8 reduced by the sum of x and y."

Answers

8 - (x + y)
Reduced (-)

What number should the fraction 7/8 be multiplied by in order to equal 1?

Answers

Answer:

1.14285714 or 8/7

Step-by-step explanation:

Divide 1 by 7/8 which will give you 8/7 or 1.14285714.


plssss help i hate math :p

Answers

Answer:

ratio is 7 to 2

Step-by-step explanation:

ratio of AB : JK is 49 : 14 divide both sides by 7 and you get 7 :2

James has 30 candies. How many kids (including James) can share these candies evenly? It has to be multiple things, I think.

Answers

Answer:

So if James has 30 candy it would be best to do it in multiple ways in my opinion, so basically you can divide it among 3 kids including James where the kids get 10 each or you can divide it among 6 kids (still including James) and they all get 5 pieces of candy! Hope this helps and stay safe :)

Step-by-step explanation:

Possible Answers:

14 kids and james- 2 candies each

9 kids and james- 3 candies each

1 kid and james -  15 candies each

4 kids and james - 6 candies each

2 kids and james - 10 candies each

There might be more, but those are the ones at the top of my head

I hope this helped, please mark Brainliest, thank you!! :)

The equation y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line? *
1 point
-7
8
2
-13

Answers

Answer:

-7

Step-by-step explanation:

y-intercept

x=0

y-3= -2x-10

y=2(0)-10+3

y=0-7

y= -7

(0;-7)

Answer:  

-7

Step-by-step explanation:

Is y=4x+3 and 4x+y=3 parallel or perpendicular or neither?

Answers

Neither of the equations are parallel or perpendicular

to climb a rock wall at the fair,you must have 5 tickets.if each ticket costs$1.50,how much does it cost to climb the rock wall

Answers

Answer:

7.50

Step-by-step explanation

Multiply 1.50 by 5 and you get 7.50.

write the equation of the line in slope intercept form that goes through points (1,8) and (5,20)

Answers

Answer:

y=3x+5

Step-by-step explanation:

Point slope equation:

y=mx+b

m-slope, b- is y-intercept

equation given 2 points

y-y1 = m(x-x1)

For point (1,8) and slope m=(y2-y1)/(x2-x1) = 20-8/5-1=12/4=3

y-8 =3(x-1)

arange it in point slope format

y-8=3x-3

y=3x-3+8

y=3x+5

15. Lola jogs at a constant rate of 6 miles per hour. Which does not represent the relationship between the time Lola jogs, t, and the distance she jogs, d?​

Answers

How long her strides are.

What is the correct expression of 10

Answers

Answer:

What are you asking for?

Step-by-step explanation:

If you have a picture or link then its not attached

ill put answer in comments if you make what you want clearer

SOLVING EACH SYSTEM BY ELIMINATION


x+3y=5 x=-6y+14


HELP

Answers

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-4,\:y=3[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]x+3y=5;\:x=-6y+14[/tex]

solving by elimination method

[tex]\begin{bmatrix}x+3y=5\\ x=-6y+14\end{bmatrix}[/tex]

[tex]\mathrm{Arrange\:equation\:variables\:for\:elimination}[/tex]

[tex]\begin{bmatrix}x+3y=5\\ x+6y=14\end{bmatrix}[/tex]

[tex]x+6y=14[/tex]

[tex]-[/tex]

[tex]\underline{x+3y=5}[/tex]

[tex]3y=9[/tex]

[tex]\begin{bmatrix}x+3y=5\\ 3y=9\end{bmatrix}[/tex]

solve [tex]3y=9[/tex] for [tex]y[/tex]:

[tex]3y=9[/tex]

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

[tex]y=3[/tex]

[tex]\mathrm{For\:}x+3y=5\mathrm{\:plug\:in\:}y=3[/tex]

Solve [tex]x+3\cdot \:3=5[/tex] for x:

[tex]x+3\cdot \:3=5[/tex]

[tex]x+9=5[/tex]

[tex]x=-4[/tex]

Therefore,

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-4,\:y=3[/tex]

This is a triangle:

Answers

Answer:

v = 13

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

54 + 61 + 5v = 180

Step 2: Solve for v

Combine like terms:                    115 + 5v = 180Subtract 115 on both sides:         5v = 65Divide 5 on both sides:               v = 13

And we have our final answer!

Answer:

13°

Step-by-step explanation:

Neccessary information:

Total internal angles in a triangle is equal to 180°.

Method:

The first step is to add the given values of 54 and 61, this gives you 115. This is because the total internal angle in a triangle is 180°. This means that in order to work out the value of v we must add the given values to find how much of the 180° is already known.

The next step is to find the value of 5v. This can be done by subtracting 115 (Total of the values given) from 180, this gives you 65(5v). This is because we are finding how much of the 180° total is not known.

The final step is to divide the value of 5v which is 65 by 5, this gives you 13. This is because 65 is equal to 5v so to work out the value of v you would need to divide by 5.

Step by step:

1) Add 54 and 61.

[tex]54+61=115[/tex]

2) Subtract 115 from 180.

[tex]180-115=65[/tex]

3) Divide 65 by 5.

[tex]65/5=13[/tex]

HelP me ASAP I Have Pic It Is Math BTW

Answers

Answer:

The Correct Answer is A.

Step-by-step explanation:

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