Which of the following is the correct equation for the trend line in the scatter plot?

Which Of The Following Is The Correct Equation For The Trend Line In The Scatter Plot?

Answers

Answer 1

The equation of the trend line will be : Y = (1/4)x - 1.

What is trend line in scatter plots?A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all.

Given is a scatter plot a shown in the image.

The general equation of a straight line is -

y = mx + c

{m} - slope

{c} - intercept along the y - axis

We can find the slope as follows. The line passes through the points -

(4, 0) and (0, - 1). We can write -

m = (- 1 - 0)/(0 - 4)

m = - 1/-4

m = 1/4

and

[c] = - 1

So the equation of the trend line will be -

Y = (1/4)x - 1

Therefore, the equation of the trend line will be : Y = (1/4)x - 1.

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Related Questions

Find the area of the figure below. Round answer to nearest tenth.

Answers

Answer:

[tex] \approx \: 198.1 \: {cm}^{2} [/tex]

Step-by-step explanation:

Given figure consists of a parallelogram and two semicircles with diameters 14 cm and 8 cm

(Opposite sides of a parallelogram are equal in measure and they are the diameters of the semicircles)

Therefore,

Area of the figure = Area of the parallelogram with base 8 cm and height 12 cm + Area of semicircle with radius (14/2 = 7) 7 cm + Area of the semicircle with radius (8/2 =4) 4 cm

[tex] = b \times h + \frac{1}{2} \times \pi {(7)}^{2} + \frac{1}{2} \times \pi {(4)}^{2} \\ \\ = 8 \times 12 + \frac{1}{2} \pi(49 + 16) \\ \\ = 96 + \frac{1}{2} \times 3.14 \times 65 \\ \\ = 96 + 102.05 \\ \\ = 198.05 \\ \\ \approx \: 198.1 \: {cm}^{2} [/tex]

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What is the shape of the cross section of the figure that is perpendicular to the rectangular base and passes through the top vertex of the figure?


A rectangular pyramid.

a parallelogram that is not a rectangle

a rectangle

a triangle that must have the same dimensions as one of the faces

a triangle that does not have the same dimensions as one of the faces

Answers

Answer:

it would be a rectangular pyramid

A bomber aircraft on take-off carries twelve dozen bombs, each weighing ten kilos; the aircraft takes off for Warsaw, the international center of Jews. It bombs the town. On take-off with all the bombs on board and a fuel tank containing 1000 kilos of fuel, the aircraft weighed about eight tons. When it returns from the crusade, there are still 230 kilos of fuel left. What is the weight of the aircraft when empty?

Answers

Answer:

The aircraft when empty weighs 4,817.48 kilograms.

Step-by-step explanation:

Since a bomber aircraft on take-off carries twelve dozen bombs, each weighing ten kilos; and the aircraft takes off for Warsaw, the international center of Jews bombing the town, and on take-off with all the bombs on board and a fuel tank containing 1000 kilos of fuel, the aircraft weighed about eight tons, while when it returns from the crusade, there are still 230 kilos of fuel left, to determine what is the weight of the aircraft when empty, the following calculation must be performed:

1 ton = 907.185 kg

8 x 907.185 = 7,257.48

7,257.48 - (12x12x10) - 1000 = X

7,257.48 - 1,440 - 1000 = X

7,257.48 - 2,440 = X

4,817.48 = X

Therefore, the aircraft when empty weighs 4,817.48 kilograms.

a recipe says 4 cups of flour makes up to 280 mini cupcakes. If you want to make 120 mini cupcakes how many cups of flower do you need?

Answers

you would need two cups of flower
The answer will be i think 2.3 cup of flour

-5 + -3 + 9= please help i'm stuck

Answers

Answer:

1

Step-by-step explanation:

Answer:

I believe it is 1

Step-by-step explanation:

The foot of a ladder is placed 7 meters from a wall. If the top of the ladder rests 9 meters up on the wall, how long is the ladder?

Answers

Answer:

11.4

Step-by-step explanation:

Its a right triangle so we can use the Pythagorean Theorem to solve it

please help!!!!!!!!!!!

Answers

Answer:

50 weeks

Step-by-step explanation:

Of the first 14 people to enter a department store, 9 were carrying a purse. If there are now 56 people in the department store, how many do you expect to not be carrying a purse?

please help me !!!

Answers

Answer:

36 estimated amount of people

Hope this helps!!!! Love the pig pic btw ^-^

Which pair represents opposite numbers?

Answers

Answer:

Choice B 2 and -2

Step-by-step explanation:

2 would be opposite of -2

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Claudia is making a gelatin dessert for a party. She plans on making 12 servings for every 5 people. If each pan Claudia uses to make the dessert holds 8 servings, what is the minimum number of these pans that she needs in order to make enough to feed 10 people?

Answers

Answer:

She would need a minimum of 15 pans for 10 people

Step-by-step explanation:

12(5) = 60 12(10) = 120

8(?) = 120

120/8 = 15

Which is the graph of the inequality p≤-6(5-1)?

Answers

Answer:

C) -24 and shaded circle

Step-by-step explanation:

You can simplify -6(5 - 1) by distributing -6, which would be -30 + 6. Then, you can add the numbers up to get -24. The inequality can be written as p ≤ −24.

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′: Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4

Answers

Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

Ling wants to determine the average distance she travels each day in her car. She records the odometer reading, which measures the distance the car has traveled, each morning for a week. What is the mean distance Ling travels each day? Show your work.( Will Mark Brainliest if answer is correct)​

Answers

Answer: [tex]10,724.28[/tex]

Step-by-step explanation:

Given

Distance traveled on each consecutive day is given as

[tex]10150,10211,10424,10769,10884,11155,11477[/tex]

Mean is given by the sum of the observations divided by the total no of observations.

There are 7 observations in total, so the mean is

[tex]\Rightarrow \mu =\dfrac{10150+10211+10424+10769+10884+11155+11477}{7}\\\\\Rightarrow \mu=\dfrac{75,070}{7}\\\\\Rightarrow \mu =10,724.28[/tex]

thus, the mean is [tex]10,724.28[/tex]

The mean distance Ling travels each day is [tex]10724.28 \: \rm miles[/tex] approximately.

How to find the mean value of a data set?

The mean value of the data set is the ratio of sum of data set's values to number of values it has.

If the data set consists of values [tex]x_1, x_2, ..., x_n[/tex], then we get the mean value as:

[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]

For this case, we have to find the average distance(in miles) from the distance Ling traveled for 7 days.

Thus, we get the average distance he traveled as:

[tex]\overline{d} = \dfrac{10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477 }{7}\\\\\overline{d} = \dfrac{75070}{7} \approx 10724.28 \: \rm miles[/tex]

Thus, the mean distance Ling travels each day is [tex]10724.28 \: \rm miles[/tex] approximately.

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Question 3
Use the quadratic formula to complete the table. To verify your solutions, graph the equations.
BIU X² X₂ 10pt

Help !!!

Answers

The linear equation in this case is . The [tex]$3 x^2+4 x+4=0$[/tex] answer is [tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex] and [tex]$3 y^2+2 x+4=0: \quad$[/tex]: quadratic [tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex] , is the solution.

What do you meant by quadratic equation ?

[tex]$3 x^2+4 x+4=0 \quad: \quad x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}$[/tex]

[tex]$3 x^2+4 x+4=0$[/tex]

Apply the quadratic formula to the problem. [tex]$x_{1,2}=\frac{-4 \pm \sqrt{4^2-4 \cdot 3 \cdot 4}}{2 \cdot 3}$[/tex]

Simplify [tex]$\sqrt{4^2-4 \cdot 3 \cdot 4}: \quad 4 \sqrt{2} i$\\[/tex]

[tex]$x_{1,2}=\frac{-4 \pm 4 \sqrt{2} i}{2 \cdot 3}$[/tex]

Distinguish the answers

[tex]x_1=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}, x_2=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}\\x=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}\\x=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

The following are the quadratic equation's solutions:

[tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

2) [tex]$3 y^2+2 x+4=0: \quad$[/tex] A parabola with a focal length of and a vertex at (h,k)=(-2, 0) [tex]$|p|=\frac{1}{6}$[/tex]

[tex]$3 y^2+2 x+4=0$[/tex]

[tex]$4 p(x-h)=(y-k)^2$[/tex] is the common formula for a right-to-left parabola with a vertex at (h, k) and a focal length of |p|.

Rewrite [tex]$3 y^2+2 x+4=0$[/tex]  using the proper form: [tex]$4\left(-\frac{1}{6}\right)(x-(-2))=(y-0)^2$[/tex]

The following are characteristics of parabolas:

[tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex]

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PLEASE HELP ME ILL MARK YOU AS A Brainiest

Answers

Answer:

Hey do you have a more clear picture

Step-by-step explanation:

I will be able to help if you have a better picture

m3 - 8m + 2 cuando m = -5​

Answers

Answer:

-5*3 -8*-5 +2= -15 +40 +2= 27

Please explain if possible, thank you!

Answers

The last one

Square root of 72x raised to the 8th power multiplied by y raised ro the 5th power

Hot dogs and corndogs were sold at last night's football game. A total of 81 were sold which allowed the concession stand to bring in $201. How many of each were sold?​

Answers

The total number of corn dogs sold is 28 corn dogs and number of hotdogs is 53

What is total cost?

Total cost is the overall expense incurred for a particular product, service, or project. It includes both fixed and variable costs, such as materials, labor, and overhead. It is often used in business and economic analysis as a measure of the efficiency and profitability of a particular venture. The total cost of a product or service can also be used to set prices and make pricing decisions.

According to question:-

step1

h = number of hotdogs

c = number of corndogs.

cost of hotdog = $3

corn dog = $1.50

The equation:

3h + 1.50c = 201 (1)

h = 2c - 3 (2)

step2

substitute (2) into (1)

3(2c - 3) + 1.50c = 201

6c - 9 + 1.50c = 201

7.50c - 9 = 201

7.50c = 201 + 9

7.50c = 210

c = 210/7.50

c = 28

Therefore,

h = 2c - 3

= 2(28) - 3

= 56 - 3

= 53

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2,082 divided 694
What is the value of the expression?

Answers

Answer:

3

Step-by-step explanation:

2,082/694 = 3

Answer:

3

Step-by-step explanation:

2,082/694 = 3

The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -5 < x < -4?

Under the < is a _ thing

Answers

Answer: “Rate of change” just means “slope”. All of calculus is just ways to find the slope for curves. Find y at -5 and at -4 and calculate the slope.

Step-by-step explanation:

Tell whether each system of equations has no solution, one solution, or infinitely many solutions. Show how you arrived at your conclusion for each.
a. y = 5x + 11 and y = 5x
b. y = 6x + 3 and y = 3x
c. x + 4y = 8 and y = -1/4x + 2

Answers

System of equations y = 5x + 11 and y = 5x has no solution,  y = 6x + 3 and y = 3x has one solution and x + 4y = 8 and y = -1/4x + 2 no solution.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

a. y = 5x + 11 and y = 5x

Substitute the y value in first equation

5x=5x+11

So the system of equations y = 5x + 11 and y = 5x has no solution.

b. y = 6x + 3 and y = 3x

Substitute the y value in first equation

3x=6x+3

-3x=3

x=-1

y=-3

The system of equations has one solution

c. x + 4y = 8 and y = -1/4x + 2

x+4(-1/4x + 2)=8

x-x+2=8

The  system of equations has one solution has no solution

Hence, system of equations y = 5x + 11 and y = 5x has no solution,  y = 6x + 3 and y = 3x has one solution and x + 4y = 8 and y = -1/4x + 2 no solution.

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Which segment is parallel
Justify the answer with a converse theorem

Answers

Answer:

Ah and mc are parallel segments

Segments CA and H? are parallel by the Converse of Corresponding Angles Theorem.

I put “H?” because the last point is not visible, but here’s a picture of the parallel segments. The orange marking highlights the parallel segments.

Find the volume of the cone. Round to your nearest hundredth

Answers

volume of cone

= ⅓πr²h

= ⅓ × 3.14 × 9 × 9 × 12

= 3.14 × 3 × 108

= 3.14 × 324

= 1017.36 cm³

If the polynomials p(x)=2x³ +bx² +3x-5 and q(x)= x³+x² -4x-b leave the same remainder, when divided by x-2, prove that b = -13/5.​

Answers

Step-by-step explanation:

Lets first find the remainder when p(x) is divided by x-2

p(2)=2(2)³+b(2)²+3(2)-5

p(2)=16+4b+6-5

p(2)=4b+17

Now let's find the remainder when q(x) is divided by x-2

q(2)=(2)³+(2)²-4(2)-b

q(2)=8+4-8-b

q(2)=4-b

Now let's equate both of them

4b+17=4-b

4b+b=4-17

5b=-13

b=-13/5 as required

A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 4 cm. The prism is filled with cubes that have edge lengths of į cm. How many cubes are needed to fill the rectangular prism?​

Answers

Answer:

I think 72 would be the answer

A cylindrical tank has a diameter of 30m and height 20m.
a) Find its volume in m³, correct to two decimal places.
b) What is the capacity of the tank in litres?​

Answers

Step-by-step explanation:

d = 30m, so r = 15m

h = 20m

We know,

V = πr^2h

= (22×15×15×20)/7 [Taking π = 22/7]

= 14142.86m^3

= 14142875.14 litres

Fatheya and Fatema, along with 30 other people, sign up to audition for a talent show. Contestants are called at random to perform for the judges. What is the probability that Fatheya will be called to perform first and Fatema will be called second?

Answers

So there's 30 people or slots. The odds that Fatheya will be chosen to perform first is 1/30. But now there's one less slot.

Now with Fatema, there's 29 slots, so there's a 1/29 chance. Then combine these values by multiplying them:

1/30 * 1/29 = 1/870

All done!

Help me please! Whoever answers correctly gets brainliest and 40 points!
Which number is equivalent to the fraction 15/7?

O 2
O 2 1/7
O 7/15
O 1 8/7

Answers

2 1/7

Two 7/7 can be taken from 15 so we are left with 1/7 remaining in fractions. So correct answer is 2 and 1/7

If you were to deposit 2000 in an account that earns simple interest of 3.5% per year, how much would the account be worth in 50 years

Answers

Answer:the interest would be $3,500

Step-by-step explanation:  you have to multiply all of the numbers together but change the 3.5% to a decimal of 0.035

Pls help I need this I’m begging you

Answers

Answer:

Option H

Step-by-step explanation:

y = 3x - 4

this is the correct answer.

Answer:

H- y=3x-4

The reason I answered this is because the equations are in slope-intercept format (y=mx+b), the slope(m), is 3. The y intercept(b) is -4. Hope this helped :)

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