Suppose the line of best fit is drawn for some data points. If the mean of the
x-coordinates of the points is 5, and the mean of the y-coordinates of the
points is - 7 the line must pass through which of these points?
A. (-7,5)
B. (7-5)
C. (5, -7)
D. (-5,7)

Answers

Answer 1

the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).

How to find the coordinates?

To determine which point the line of best fit passes through, we need to use the fact that the line passes through the centroid of the data points. The centroid is the point (mean of x-coordinates, mean of y-coordinates).

Given that the mean of the x-coordinates is 5 and the mean of the y-coordinates is -7, the centroid is (5, -7). Therefore, we need to look for the point among the given options that has coordinates (5, -7).

The point (5, -7) is not listed as an option, but we can find the point that is closest to it.

Option A (-7,5) has the coordinates switched, so it cannot be the correct answer. Option B (7-5) is not a valid point since it is missing a comma between the x and y coordinates. Option D (-5,7) has the correct x-coordinate but the wrong y-coordinate.

Therefore, the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).

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Related Questions

what is the distance from -2 to 0 ?

Answers

Answer:

B :)

Step-by-step explanation:

Dave says:
The only quadrilateral with two lines of symmetry is a rectangle.
Is Dave correct?
Explain your answer

Answers

Answer:

a rectangle is having 4 lines of symmetry but a trapezium is having 2 lines of symmetry

The quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.

Quadrilateral- Quadrilateral is a type of polygon with closed shaped which has four sides, four angles and four vertices. The sum of this interior angle are always equal to 360 degrees.

Rectangle- A rectangle is a type of polygon and closed two dimensional figure with four sides, four angles and four vertices. In the rectangle the length of the opposite side are equal. Rectangle has two lengths and two widths.

Statement of the Dave- The only quadrilateral with two lines of symmetry is a rectangle-

A quadrilateral with two lines of symmetry means the line about which one part of figure is mirrored to the other image. such quadrilateral with two lines of symmetry will become the rhombus shape. The shape is similar to the kite shape. Thus the above statement is not correct.

By the above discussion we conclude that the quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.

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plz explain in a paragraph to get brainliest

Answers

Answer:

500 people took the survey.

Step-by-step explanation:

12 divided by 3 is 4 and 15 divided by 3 is 5. that means 4 of every 5 people prefer restaurants. Multiply that by 100 and you get 400 of every 500 people prefer restaurants. Hope this helps!

The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each angle of the triangle.

Answers

3b-10

(3x-10) +2x=180
5x -10=180
5x=190
x=38.

3(38)-10= 104

vertex angle is 104 degrees and each base angle is 38 degrees

From the picture attached,

ΔABC is an isosceles triangle.

       ∠B ≅ ∠C

Vertex angle ∠A is 10 less than 3 times the base angles.

       m(∠A) = 3[m(∠B)] - 10

By applying angle sum theorem in ΔABC,

m(∠A) + m(∠B) + m(∠C) = 180°

m(∠A) + m(∠B) + m(∠B) = 180° [From equation (1)]

m(∠A) + 2m(∠B) = 180°

[3m(∠b) - 10] + 2m(∠B) = 180°

5[m(∠B)] = 180° + 10°

m∠B = 38°

       Therefore, m∠B = m∠C = 38°

Substitute the value of angle B in equation (2),

m(∠A) = 3[m(∠B)] - 10

m(∠A) = 3(38) - 10

          = 104°

        Therefore, measure of angle A will be 104°.

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5. What is the surface area of the following shape

Answers

Answer:

ummm im pretty sure you mean area.... 2d shapes dont have surface area.... but ok... also is the bottom 10? i think so.... then its 90 MARK AS BRANLIEST BCUZ I SAVED YOU

Step-by-step explanation:

1/2x6x(10+20)

1/2x6(30)

3x30

90

Write an equation for the line that has slope -2 and passes through the point (3, - 4). SHOW YOUR WORK

Answers

Answer:

2x+y-2=0

Step-by-step explanation:

Solution

Here,

Passing point P(x,y)= (3,-4)

Slope(m)= -2

Now Equation of the line

(y - y1)=m(x - x1)

(y+4) =-2(x-3)

y+4 = -2x+6

2x + y =2

2x +y -2 =0 which is the required equation of the line

justin did push ups every day this week. he did 8 push ups monday. 14 push ups on tuesday. 18 push ups wednesday. 6 pushups thursday, and 8 push ups friday. find the mean number of pushups.​

Answers

Answer:

9

Step-by-step explanation:

if you list them from least to greatest, it would go: 6, 8, 8, 9, 12, 14, 18

Eliminate it one by one on each side and the middle number is 9

Answer:

The mean number is 10.8

Step-by-step explanation:

Since the mean number is the average of all numbers divided by how many there are, then 8+14+18+6+8=54. 54 divided by 5 equals 10.8.

Find the unit price rounded to the nearest cent: $12.35 for 11 lb.

Answers

Answer:

$1.12 per lb

Step-by-step explanation:

x2 + 10x + 9 = 0 factor form

Answers

Answer:

11/10

Step-by-step explanation:

Jack and Jill are walking to school. After 20 minutes, Jack walked 4/5 mile. After 25 minutes, Jill walked 5/6 mile. What is their speed in miles per hour?

Answers

Answer: Jill: 2mph and jack: 2 2/5 I had this in my test lol and tell me if it was right for you all

HELPPPP ANSWER IN 2mins AND I WILL GIVE YOU BRAINLY MASTER THING Which of the following number sentences is an example of the identity property? Select all that apply.
x 1
8.7 + 0 = 8.7
1.5 x 4 = 6
+ 11
1 + 1

Answers

Answer:

a and c

Step-by-step explanation:

Describe how you would simplify the given
expression.
Pan-talons
20xy
5x 'Y
X=0.y=0

Answers

Answer:

y^15/64x^24

Step-by-step explanation:

How many even k-digit numbers can be constructed out of the digits 3, 4, 5, 6, and 7?

a. Assume first that you may use the same digit again.
b. Assume that you cannot use a digit more than once.

Answers

Answer:

A. 1562 numbers , B. 130 numbers

Step-by-step explanation:

A) Using same digit again

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 5  (ie any no) x 2 ( ie 4 ,6 )

Similarly

3 digit nos = 5 x 5 x 2

4 digit nos = 5 x 5 x 5 x 2

5 digit nos = 5 x 5 x 5 x 5 x 2

Adding all 5 equations

Total = 2 + 10 + 50 + 250 + 1250  = 1562

B) Cant use a digit more than once

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 4 ( ie any no other than 4 or 6) x 2  ( ie 4 , 6 )

Similarly

3 digit nos = 4 x 3 x 2

4 digit nos = 4 x 3 x 2 x 2

5 digit nos = 4 x 3 x 2 x 1 x 2

Adding all five equations

Total = 2 + 8 + 24 + 48 + 48 = 130

They estimate that their current (older) fridge, which they got for free, costs them about $17 a month in electricity charges to operate. They found a new fridge that costs $1,050 to purchase and would cost only around $6 a month in electricity charges.

The new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees.

If they keep their old fridge, then they assume they will need to pay around $220 sometime over the next 10 years in maintenance costs to keep it running.

(For this comparison, assume they set aside the money to maintain the old fridge right at the beginning of the 10 years, even though they probably won't need the money until several years later.)



Let x represent the number of months. Let y represent total cost in dollars.

Step 3: Apply Quantitative Tools

Set up a system of equations that could be used to help Garrett and Judy Kay decide if buying the new fridge is worth it.

Create functions that describe the total cost in dollars for each fridge.

New Fridge Total Cost Function

Answers

Step-by-step explanation:

Step one:

given

current (older) fridge

electricity charges= $17 monthly

maintenance costs= $220

let the number of months be x

and the total cost be yo

the expression for the cost for the old fridge is

yo=220+17x---------1

New  fridge

electricity charges= $6 monthly

costs=  $1,050

let the number of months be x

and the total cost be yn

the expression for the cost for the old fridge is

yn= 1050+6x---------2

Hence the system of equation for the situation is

yo=220+17x---------1

yn= 1050+6x---------2

Step two

for 10 years there are 12*10= 120 months

put x= 120 in both expressions and compare the total

yo=220+17(120)---------1

yo=220+2040

yo=$2,260

yn= 1050+6(120)---------2

yn=1050+720

yn=$1770

Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.

The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9 miles. If their goal is to hike 20 total miles, how many miles does the last hike need to be?

1.7 miles
4.7 miles
2.7 miles
3.7 miles

Answers

Answer:

there last hike i think needs to be 7.2 miles long

Step-by-step explanation:

I need help with this anyone?

Answers

Answer:

c is the correct answer

I need to know the slope ASAP

Answers

Answer:

-3/1

Step-by-step explanation:

brainliest pls

hey guys its addison ray

Answers

Answer:

what do you want answered

Step-by-step explanation:

ive heard of you but i dont know who you are. arent you on tic tac

Answer:

This isnt addison rae at all. Addison wouldnt be on this app. This is basically identity theft and if the REAL addison rae find out that you are pretending to be her she can sue you for identity theft :) have fun!

What is the image of -1,-4 after a reflection over the x axis

Answers

answer: the image is (-1,4)

The image of the point after the reflection over x axis is P' ( -1 , 4 )

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the point be represented as P

Now , the coordinates of the point P is P ( -1 , -4 )

The point P is reflected over the line x axis ,

So , when you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

Substituting the values in the equation , we get

The image of the reflected point is P' ( -1 , - ( -4 ) )

The image of the reflected point is P' ( -1 , 4 )

Hence , the reflected point is P' ( -1 , 4 )

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James’ dealership pays him a commission of $500 profit on each car sold plus a flat salary of $1500 per month. Find the number of cars James sold if his total salary is $12,000 for the month.

Answers

21 cars sold. See attachment for step by step answer

Which expression is equivalent?

Answers

Answer:

this one i can not help you on sorry

Step-by-step explanation:

NEED ASAP !!
Fill in the rest of the graph ? 2 .
How can u tell when Greg was going fastest ?

Answers

Answer:

When greg has the lead

Step-by-step explanation:

Samantha, Brooklyn, and Mary went to Bonnaroo music festival where they each attended various


concerts.


• Samantha only went to rock concerts where the sound level was normally distributed between 113


and 117 decibels.


• Brooklyn went to 4 concerts with Samantha and also went to 5 folk concerts where the sound level


was between 95 and 97 decibels.


• Mary got sick, so she only attended 2 shows - one rock concert and one folk concert.

Answers

Answer:

a, b, c

Step-by-step explanation:

Among the three girls, Samantha attended the concerts with the greatest mean sound level.

Among the three girls, Samantha attended the concerts with the greatest median sound level.

If Mary had attended an additional rock concert, the median sound level of concerts she attended would have been greater than it is now.

stream fineline lol

A cookie recipe for 12 cookies calls for 4 cups of flour. How much flour is needed to make 90 cookies?

Answers

Answer:

30 cups of flour

Step-by-step explanation:

For every 12 cookies you need 4 cups of flour, which represents 1 batch of cookies. You want to figure out how many batches there are in 90 cookies. To do this you divide the total amount of cookies by the number of cookies in a batch.

90 cookies total/12 cookies/batch = 7.5 batches of cookies.

For each batch you need 4 cups of flour so you multiple the number of batches by the number of cups of flour.

7.5 batchs * 4 cups/batch = 30 cups of flour

so you need 30 cups of flour to make 90 cookies

30 cups of flower is the answer

A zoo administrator must decrease the staff size by 1/4 because of budget cuts. If the zoo employs 456 people, how many people must be dismissed?

Answers

Answer:

114 people

Step-by-step explanation:

456*.25=114

Please answer these questions in the image ( click image to see fully )

Answers

9) x= -7

10) x= 10

11) x= 5

12) x= 6

13) x= 4

14) x= -9

15) x= 3

16) x= 9

sorry it took so long! hope this helps!! :)

What is the base of this Scalene triangle?

Answers

Answer: like the measurement or ?

Step-by-step explanation:

110 + 3x +11 = 16x + 4 solve for x

Answers

Answer:

x = 9

Step-by-step explanation:

110 + 3x + 11 = 16x + 4

121 + 3x = 16x + 4

       -3x    -3x

121 = 13x + 4

-4             - 4

117 = 13x

117 ÷ 13 = x

9 = x

Check:

110 + 3(9) + 11 = 16(9) + 4

121 + 27 = 144 + 4

148 = 148

Answer:

x=9

Step-by-step explanation:

Find the value of X

Answers

Answer:

16

Step-by-step explanation:

90=41+3x+1

In the first 1/3 hour of a snow storm, 1/12 of an inch or snow fell. If the snow continues to fall at the same rate, how many inches of snow will fall in 2 hours?

Answers

Answer: 1/2 inch

Step-by-step explanation:

1/3 of an hour 1/12 inches fell

in one hour 3/12 or 1/4 inches fell

in 2 hours 2/4 or 1/2 inches fell

Other Questions
Read the passage and review the image from Sugar Changed the World. Enslaved people working in a sugar plantation. Some people are digging with tools and some are planting seedlings. Caption: Enslaved people working in a sugar plantation (illustration by William Clark) My great-grandparents had come from India to Guyanathen British Guianain the late nineteenth century to work on the sugar plantations. Sugar was the backbone of the British Empire at that time. The demand was huge, for sugar had gone from being a luxury that only kings could afford to a necessity. Even the poorest of London shopgirls took sugar in their tea. Slavery was abolished in the British Empire in 1833, thirty years before the Emancipation Proclamation in the United States. But even after they freed their slaves, the sugar plantation owners were desperate to find cheap labor to cut cane and process sugar. So the British owners looked to another part of the empireIndiaand recruited thousands of men and women, who were given five-year contracts and a passage back. How does the image best support the text? The image shows what a sugar plantation looked like and what brutal work enslaved people endured. The image shows all of the tasks involved in processing sugar cane. The image shows what type of land was needed to grow sugar cane. The image shows where the authors came from and how their families were involved with sugar. By secret treaty during the French and Indian War (175563) the French transferred Louisiana to Spain in 1762. The acquisition made Spain the controlling authority over the Mississippi River to its origins. Louisiana remained under Spanish rule until 1800, during which time it prospered, witnessing the germination of the vibrant cultural and artistic life for which the state is still known. . . . In a 1795 treaty with Spain, the United States obtained rights to navigate the Mississippi River and use the port of New Orleans as a place of deposit for American commodities and transshipment on oceangoing vessels.Louisiana: European Explorations and the Louisiana Purchase,Michael KleinWhich phrases from the passage best highlight the text structure? Check all that apply.the French transferred Louisiana to Spain in 1762the controlling authority over the Mississippi RiverLouisiana remained under Spanish rule until 1800In a 1795 treaty with Spainuse the port of New Orleans a place of deposit ACTIVITY 2 DIFERENTTIATIONComplete the following sentence with a definite article if it is necessary.MODEL: A mi prima le gusta comprar un vestido __ amarillo. N/A1. A Miriam le gusta ___ color verde. 2. Mi hermana tiene una blusa ___ rosada porque es su color favorito.3. ___ anaranjado es mi color favorito.4. El color favorito de Juan es ___ morado.5. A Julio le gustan sus botas ___ negras. ser and estar help asap pls Which statement about determining the quotient 1213 is true?A) Because 1813=12, 12 divided by 13 is 18.B) Because 913=12, 12 divided by 13 is 9.C) Because 3613=12, 12 divided by 13 is 36.D) Because 413=12, 12 divided by 13 is 4.Please answer I will mark brainliest A bus goes from rest to 20 m/s. The bus accelerates at 2 m/s^2. How far does the bus go? An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The riskfree rate is 6%, the expected return on the first factor r1 is 12%, and the expected return on the second factor r2 is 8%. If bi1 0 7 and bi2 0 9, what is Crisps required return? Brigham, Eugene F.; Ehrhardt, Michael C.. Financial Management: Theory & Practice (p. 1011). Cengage Learning. Kindle Edition. RNAUCL unscrambled? If predators A and B prey upon the same species and predator A is eliminated, the population of predator B will likely __________. a. be eliminated b. increase c. decrease d. remain the same Please select the best answer from the choices provided A B C D What is the powerhouse that is responsible to pump the oxygenated blood throughout the entire body? Which symbol in a chemical equation separates the reactants from the products? the given diagram can be used to prove the Pythagorean theorem. which expression represents the total area of the red and blue squares? Select the three surplus crops of the South: cornindigo wheat tobacco rice Can u please answer if you know. Solve the equation. 10 - 6v = -104 A. Which color are stateswith 11 to 15 electors? N more then then the difference of 7 and 2 Please help me ASAP!!!! What software maintain and increase the efficiency of a computer system? Why is it important to know the five basic sauces?Please answer in complete sentence(s). What might have been Achebe's purpose in naming such a specific address in paragraph 1?