The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week.

Answers

Answer 1

Answer:

[tex](a)\ y = -0.75x + 26[/tex]

[tex](b)\ y = 14.75[/tex]

Step-by-step explanation:

Given

See attachment for scatter plot

Required

Equation of the line of best fit

Pick any two points on the line

[tex](x_1,y_1) = (24,8)[/tex]

[tex](x_2,y_2) = (8,20)[/tex]

Calculate the slope (m)

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

[tex]m =\frac{20-8}{8-24}[/tex]

[tex]m =\frac{12}{-16}[/tex]

[tex]m =-0.75[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = -0.75(x - 24) + 8[/tex]

[tex]y = -0.75x + 18 + 8[/tex]

[tex]y = -0.75x + 26[/tex]

Solving (b): y, when [tex]x = 15[/tex]

[tex]y = -0.75x + 26[/tex] becomes

[tex]y = -0.75*15 + 26[/tex]

[tex]y = -11.25 + 26[/tex]

[tex]y = 14.75[/tex]

The Scatter Plot Shows The Time Spent Watching TV, X, And The Time Spent Doing Homework, Y, By Each Of

Related Questions

Can someone help me please

Answers

Answer:

x = 1

AB = 9

BC = 9

AC = 18

Step-by-step explanation:

Given that B is the midpoint of AC, we can say that

AB = BC

x² + 8x = 4x + 5

subtract (4x+5) from both sides to make the equation equal to 0, enabling us to solve for x

x² + 4x - 5 = 0

Because 5 and -1 add to 4 (the coefficient to x in 4x) and 5 * (-1) = -5 ( the constant), we can factor this out into

(x+5)(x-1) = 0

Therefore, x² + 8x = 4x + 5 can be true at either x=-5. x=1, or both. Plugging these values in the equations to check, starting with x=-5, we get

-5²+8(-5) =4(-5) + 5

-15 = -15

As a line segment cannot have negative length, and  x² + 8x = 4x + 5  is negative when x=-5, x=-5 is not a viable solution

Next, for x=1, we get

1²+8(1) = 4(1) + 5

9=9

Therefore, x=1 is the only solution we have.

We have plugged this in for AB and BC, and 1²+8(1) = 4(1) + 5 = x² + 8x = 4x + 5 =  9 for both AB and BC

Next, AC is simply the sum of the two line segments that make them up, AB and BC, so AC = 9 + 9 = 18

24 karat gold is 100% gold. How pure is 8 karat gold?

Answers

Answer:

branllest if right

60%

Step-by-step explanation:

Answer:

Your answer is 33.3% as 8 goes into 24 3 times, then 100 - 33.3(repeating)% should equal 100 percent

Step-by-step explanation:

All you have to do is divide 8/24, and convert it into a percent, by moving the decimal twice to the right.

Bab needs help please!

Answers

Answer:

282.6 in³

Step-by-step explanation:

Volume = area circle * height

Area circle = πr²

Area circle = 3.14 * 9 = 28.26

28.26 * 10 = 282.6 in³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

282.6 in^3
Step by step explanation:
Because I said so

suppose y varies inversely with x, and y=39 when x=1/3.what is the value of y when x=26

Answers

Answer:

y = 1/2

Step-by-step explanation:

Varies inversely

xy = k

------------------------

Find the constant of variation

y = 39 when x = 1/3

k = 1/3 * 39

k = 13

-----------------------

what is the value of y when x=26

26y = 13

y = 13/26

y = 1/2

Answer:

y = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 39 when x = [tex]\frac{1}{3}[/tex] , then

39 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )

[tex]\frac{1}{3}[/tex] × 39 = k

13 = k

y = [tex]\frac{13}{x}[/tex] ← equation of variation

When x = 26 , then

y = [tex]\frac{13}{26}[/tex] = [tex]\frac{1}{2}[/tex]

What is the measure of EFG?
A. 88°
B. 176°
C. 184
D. 272°

Answers

Cghfhgsfg sth. Dyjv

HELPPPPP

a) -3 x 4 - (-9) ÷3


b) 15 - 2(-8 +-7)​

Answers

a) -9
b)45

Hope this helps

Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE.

Answers

Answer:

117

90

90

127

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 117

2. 90

3. 90

4. 127

2 points

4] The spinner below is cut unevenly. The probability of spinning a 1 or 4

are equal. The probability of spinning a 3 is 1/2 of spinning a 2. What is the

probability of spinning an odd number if the probability of spinning a 2 is

16%? Type in a numerical value in percent form with the % symbol (no

spaces). For example: 1%*

Answers

Answer:

Probability of spinning an odd number is 84%

Step-by-step explanation:

The probability of spinning a 1 or 4 is equal. Let this probability be X

Probability of spinning a 2 is 1/16

Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%

Sum of spinning 1,2,3 and 4 is equal to 100%

X + 16% + X + 8% = 100

2X = 100 - 16-8

X = 76%

Probability of spinning an odd number i.e one and 3 is

76% + 8% = 84%

Please someone help quickly!!!

Answers

Answer:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Step-by-step explanation:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

PLEASE HELP ME!!!

Jennifer's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $2 to buy the supplies to make a fork and $1.20 to buy the supplies to make a spoon. The store sells forks for $6 and spoons for $5.50. Last April Jennifer's Custom Kitchen Supplies spent $27.60 on materials for forks and spoons. They sold the finished products for a total of $98. How many forks and how many spoons did they make last April?

Answers

Answer:

8 spoons and 9 forks

Step-by-step explanation:

2 F + 1.2S = 27.60

6 F + 5.5S = 98

solve system of equations


f for forks and s for spoons


2f+1.2s=27.60
-1.2s -1.2s
____________

2f = 27.60-1.2s
____________ = f=13.8-.06s
2

substitute 13.8-0.6s for f

6(13.8-0.6s)+5.5s=98

82.8-3.6s+5.5s=98

82.8+1.9s=98
-82.8 -82.8
_____________

1.9s = 15.2
___________ = s=8
1.9

What is point c on the coordinate

Answers

Answer:

6,0

Step-by-step explanation:

(x,y) the point for c is on the 6 so 6 to the right, and it doesnt go up or down at all.

(6,0) trust me w this fr

PLS HELP ASAP
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?

Answers

pretty sure it’s 27 :)

Answer: The 32 electricians are expected to finish the job in 27 days.

Step-by-step explanation:


A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.

Answers

Mark Brainliest please.

Answer : The ladder will reach 20.6 feet.

Explanation:

Refer the image attached for explanation

The ladder will reach a height of 20.6 feet

The given parameters are:

Length = 45-footHeight = 27 feet

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

[tex]45^2 = 27^2 +d^2[/tex]

Collect like terms

[tex]d^2= 45^2 -27^2[/tex]

[tex]d^2= 1296[/tex]

Take square roots of both sides

[tex]d= 36[/tex]

When the ladder is moved 4 feet farther, the new distance becomes

[tex]d= 36+4[/tex]

[tex]d= 40[/tex]

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

[tex]45^2=40^2 + h^2[/tex]

Collect like terms

[tex]h^2 = 45^2-40^2[/tex]

[tex]h^2 = 425[/tex]

Take the square roots of both sides

[tex]h = 20.6[/tex]

Hence, the ladder will reach a height of 20.6 feet

Read more about Pythagoras theorem at:

https://brainly.com/question/654982

If every 4 cm on a scale drawing is equal to 3 yards in real life, which of the scaled-drawing lengths below would be less than 9 yards in real life? Select all that apply. A) 16 cm B) 6 cm C) 8 cm D) 24 cm

Answers

Answer:

B and C

Step-by-step explanation:

Firstly do 16/4 which gives you 4 and then times that by 4 to give you 12 yards. Rinse and repeat this to find out how many yards are in each situation.

find the difference between the greatest and the least number of 7 digit formed by 6250 8 4 and 1 ​

Answers

Answer:

8,654,210 and 1,024,568

Step-by-step explanation:

biggest number to smallest

Find the volume of a rectangular prism with a length of 9 cm, a height of 13 cm, and a width of 7 cm.
923 cm3
819 cm3
910 cm3
950 cm3

Answers

Answer:

819 cm³

Step-by-step explanation:

V=L·H·W

V=9·13·7

V=819 cm³

Answer:

819 cubic cm/ cm3

Step-by-step explanation:

The formula to finding the volume of any prism is V=bh.

Going by this formula, we first will solve for the base.

The formula for a rectangular base is B=LxW.

In your question the length is 9 and the width is 7.

So let's plug this in our base formula: 9x7

Now by simplifying by multiplying the two, we will get a product of 63.

So now our expression is 63h

We now must plug in the height.

According to your question, h=13.

So lets plug it all in.

63(13)

Multiply the two and you get 819.

Since we are finding a volume, this can be labeled as cubic cm or cm3 in your terms.

En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?

Answers

Answer:

36

Step-by-step explanation:

6 x 6

Find the volume.

I need this in now like ASAP 10 points

Answers

volume is 0.48 im 99% sure cause the formula is lwh

Answer:

0.48 m^3

Step-by-step explanation:

volume = length * breadth * height

=6m * 4m * 0.02m

=0.48 m^3

A bat costs $11,856 and decreases in
value by 10% per year what is the range for
this situation and how much will to bout me
worth after 8 years?

Answers

f(x)= 11,856(1-.1)^8
11,856(.43)
F(x)=5,098.08 or 5,098.1 when rounded to the nearest tenth

Can someone help please with this problem

Answers

Answer:

-3

Step-by-step explanation:

You subtract y values and divide by difference in x values

2-5=-3

4-3=1

-3/1=-3

Find the surface area of the figure below.
a²+b² = c2
19.4 m
14.4 yd

Answers

Label Base and Height please

Step-by-step explanation:

circumference of a circle

Answers

Answer:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the straight sides are just 4.5 *2 = 9 cm

the arcs are  2[tex]\pi[/tex]r * Ф/360

where Ф= 50 for this problem

and r = 8

the inner arc is  2[tex]\pi[/tex](3.5) *50/360 = 3.05432

the outer arc is 2[tex]\pi[/tex](8)*50/360 = 6.98131

total is 19.0356

to 3 sig figs is 19.036  :)

A garden that is 14 feet by 17 feet will have a pedestrian pathway on the border, making the combined area of the garden and the border 311 square feet what is the width of the pathway

Answers

Answer:

The width of the pathway is 5.2 feet

Step-by-step explanation:

Given that the shape of the garden and the walkway is a rectangle, the walkway would have the same length as the garden but would have it's own width.

Let the width of the garden be W and that of the walkway be t while the length of both the garden and walkway is L. The combined area A

= L( W + t)

Given that the combined area of the garden and the border 311 square feet while the garden is  14 feet by 17 feet

311 = 14 (17 + t)

311 = 238 + 14t

collect like terms

14t = 311 - 238

14t = 73

t = 73/14

= 5.2 feet

What does point B represent on the graph? A) John earns $14.00 each hour. B) John earns $14.00 for two hours of work. C) John earns $7.00 for two hours of work D) John earns $7.00 for four hours of work

Answers

Answer:

The answer is B) John earns $14.00 for two hours of work.

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?

Answers

Answer:

The mass of the object will be "25 kg".

Step-by-step explanation:

Given that,

Mass,

m = 15 kg

Acceleration,

a = 5 m/s²

Now,

The force will be:

⇒ [tex]F = ma[/tex]

       [tex]=15\times 5[/tex]

       [tex]=75 \ N[/tex]

When, acceleration (a) = 3 m/s²

⇒ [tex]F = ma[/tex]

or,

⇒ [tex]m=\frac{F}{a}[/tex]

        [tex]=\frac{75}{3}[/tex]

        [tex]=25 \ kg[/tex]

A shopkeeper fixed the marked price of his radio to make a profit of 30 percentage. allowing rs 30 as a discount then the profit is rs 30. find the cost price​

Answers

Answer:

First Price - 130% of original price

Marked Price(Second Price) - 0.85 of the first price

Second Price: 0.85 x 1.3 x 1 = 1.105

1.105 - 1 = 0.105(10.5%)

In conclusion, the shopkeeper is making a percentage profit of 10.5%.

Out of 180 questions in a trivia book, Destiny answered 156 questions and was correct on 117 of them. What percent of all the questions did she answer correctly? What percent of the questions she answered were correct?

Answers

Answer:86.67

Step-by-step explanation:

156:180*100 =

(156*100):180 =

15600:180 = 86.67

hoped this helped :)

Find the value of F

Answers

Answer:

f = 13[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given that f and e are congruent then e = f

Using Pythagoras' identity in the right triangle

f² + e² = 26² , that is

f² + f² = 676

2f² = 676 ( divide both sides by 2 )

f² = 338 ( take the square root of both sides )

f = [tex]\sqrt{338}[/tex] = [tex]\sqrt{169(2)}[/tex] = 13[tex]\sqrt{2}[/tex] ≈ 18.4 ( to 1 dec. place )

Answer:

f = 25.85751233

Step-by-step explanation:

f^2+E^2=26^2

Work out the size of angle x
Pls help thx !

Answers

Answer:

83

Step-by-step explanation:

not sure tho____________

Answer:

83 degrees

Step-by-step explanation:

The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so

43 + x = 126

x = 83 degrees

Second way

exterior angle + inner angle = 180

126 + inner angle = 180

inner angle = 54

the sum of the inner angles of a triangle is 180 degrees

54 + 43 + x = 180

97 + x = 180

x = 83 degrees

If 6 −8p = 38, then p=

Answers

Hey there!

6 - 8p = 38

SIMPLIFY EACH SIDES of the EQUATION

-8p + 6 = 38

SUBTRACT 6 to BOTH SIDES

-8p + 6 - 6 = 38 - 8

KEEP: 6 - 6 because that gives you 0

KEEP: 38 - 6 because that helps you solve for your p-value

38 - 6 = 32

NEW EQUATION: -8p = 32

DIVIDE -8 to BOTH SIDES

-8p/-8 = 32/-8

CANCEL out: -8/-8 because that gives you 1

KEEP: 32/-8 because it helps solve for the p-value

NEW and TEMPORARY EQUATION:

p = 32/-8

-4 = 32/-8

32/-2 = -4

Therefore you answer is: p = -4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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