A department of transportation's study on driving speed and miles per gallon for midsize automobiles resulted in the following data. Speed (Miles per Hour) 30 50 40 55 30 25 60 25 50 55 Miles per Gallon 29 26 26 22 29 31 21 35 25 26 Compute the sample correlation coefficient. (Round your answer to two decimal places.) Interpret the sample correlation coefficient. There is a strong negative relationship between the driving speed and miles per gallon. For driving speed between 25 and 60 miles per hour, higher speeds are associated with lower miles per gallon.

Answers

Answer 1

Answer:

R = -0.90 (2 decimal places)

Step-by-step explanation:

Given the data :

Speed (Miles per Hour) :

30

50

40

55

30

25

60

25

50

55

Miles per Gallon :

29

26

26

22

29

31

21

35

25

26

The correlation Coefficient, R shows the degree or level of relationship between the dependent and independent variable. A positive R value denotes a positive correlation while a negative R value denotes a negative relationship. R values should range between - 1 to +1 with values close to 1 and - 1 depicting strength while value of zero means no relationship exist.

Hence, R value of -0.90 depicts a strong negative relationship. Hence, higher speed are related to lower miles per gallon and vice versa.


Related Questions

Find (x + 3)(4x - 1). *
O4x2 - 11x-3
O 4x^2 + 11x - 3
O 4x^2 + 13x - 3
4x^2 + 12x - 3

Answers

Answer:

Step-by-step explanation:

(x+3)(4x-1) = 4x² + 12x - x - 3 = 4x² + 11x - 3

If you split the circle into 4 equal parts, how many degrees will each piece be? Show your work.

Answers

Answer:360 degrees in a circle divide by 4 is 90

Step-by-step explanation: there are 360 degrees in a circle so divide that by 4 and you get 90

A bag contains 15 red marbles, 13 blue marbles,
and the rest are yellow marbles. There are a
total of 50 marbles in the bag. What is the
probability of choosing a yellow marble?
3
A)
10
13
B)
50
14
C)
25
11
D)
25

Answers

Answer:

11/25

Step-by-step explanation:

15 red, 13 blue, and 50 total. Therefore, yellow = 50-15-13=22.

Probability (yellow) = 22/50 = 11/25

Answer:

[tex]\frac{11}{25}[/tex] chance

In percent form;

44%

Step-by-step explanation:

1. Approach

First, one must find the amount of yellow marbles in the bag. This can be done by subtracting the amount of red and blue marbles from the total marbles in the bag. Then one will set up a proportion and solve to find out the probability of choosing a yellow marble. Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex]

2. Find the amount of yellow marbles

Subtract the number of red and blue marbles from the total marbles in the bag;

[tex]total_{.}marbles-(red+blue)\\\\=50-(15+13)\\\\=50-28\\\\=22[/tex]

There are [tex]22[/tex] yellow marbles.

3. Find the probability of selecting a yellow marble

Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex] and a percent is out of 100. Using this knowledge one can set up a proportion in the format;

[tex]\frac{desired_{.}outcomes}{total_{.}outcomes} = \frac{percent}{100}[/tex]

Substitute;

[tex]\frac{22}{50}=\frac{percent}{100}[/tex]

Simplify,

[tex]\frac{11}{25}=\frac{percent}{100}[/tex]

Cross products,

[tex]\frac{11}{25}=\frac{percent}{100}\\\\1100=25*(percent)\\[/tex]

Inverse operations;

[tex]1100=25*(percent)\\/25\\\\44=percent[/tex]

Find the value of x and the value of y

Answers

Answer:

A. x = 16, y = 9√2

Step-by-step explanation:

✔️Let's find y first using trigonometric ratio:

Reference angle = 45°

Hypotenuse = y

Opposite = 9

Therefore,

Sin(45) = 9/y

y = 9/sin(45)

y = 9/(1/√2)

y = 9 × √2/1

y = 9√2

✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.

Adjacent side using Pythagorean Theorem would be,

Adj² = y² - 9²

Adj² = (9√2)² - 9²

Adj² = 162 - 81

Adj² = 81

Adj = √81

Adj = 9

x = adj + 7 = 9 + 7

x = 16

[BRAINLIEST TO BEST ANSWER] Can anybody solve this before an hour? Solve is for solving it, and check is for checking the answer to see if it's correct.

Answers

Answer:

3x = 18

x=6

check: 3(6)=18. 18=18

x/3 = -4

X=-12

Check: 12/3=4. 4=4

11x=121

x=11

Check: 11(11)=121. 121=121

-8y=32

x=-4

Check: -8(-4)=32. 32=32

y/4=12

y=48

Check: 48/4=12. 12=12

6y=-48

y=-8

Check: 6(-8)=-48. -48=-48

y/7=-7

y=-1

Check: (-1)/7=-7. -7=-7

x/5=5

x=1

Check: (1)/5=5. 5=5

1) solve

3x=18

x=6

check

3(6)=18

2) solve

x/3=-4

x=-12

check

-12/3=-4

3) solve

11x=121

x=11

check

11(11)=121

4) solve

-8y=32

y=-4

check

-8(-4)=32

5) solve

y/4=12

y=48

check

48/4=12

6) solve

6y=-48

y=-8

check

6(-8)=-48

7) solve

y/7=-7

y=-49

check

-49/7=-7

8) solve

x/5=5

x=25

check

25/5=5

18. The side length of a square is 7a 3b feet. What is the area of the square in feet? Box your final answer!

Answers

Answer:

ouhnewu0h8coehuqnce0nuqfenueqnuqwe0nu8iquenw

Step-by-step explanation:

uieqnueru0njfqenu0fqenuen0rue0fuinfuine0

Is the quotient 3.6÷9 greater than or less than 1?explain to a friend

Answers

Answer: less than 1

Step-by-step explanation:

3.6/9 = 0.4

0.4 = 4/10 or reduced, 2/5

2/5 is less than 1

Answer:

The quotient of 3.6/9 is less than 1

Step-by-step explanation:

Quotient means the number we have once we divide two number

3.6/9 is equal to 0.4 and if it were to be greater than 1 there wouldn't be a zero in the ones place

Which points are separated by a distance of 5 units? O A. (1,3) (6,3) ☆ O B. (3,5) (1,5) O C. (5,1) (1,1) O D. (2,3) (3,3)​

Answers

Answer:

A

Step-by-step explanation:

A. (1,3) and (6,3) have the same y-coordinate, so the distance between them is the difference of the x-coordinates.

distance = 6-1  = 5

:::::

B. (3,5) and (1,5). Again, the same y-coordinate. Distance = 3-1 = 2 ≠ 5

:::::

C. distance = 5-1 = 4 ≠ 5

:::::

D. distance = 3-2 = 1 ≠ 5

10x (4 +2) = 10 x6 =60​

Answers

It is x=1 because it just is

You can make 8 pints of purple paint by mixing 6 parts of blue paint to 2 parts of red paint. The employees in the paint department of a home improvement store use this table to determine the amounts of blue and red paint needed to create this color for their customers.

How much red paint is needed to create 40 pints of purple paint for their customers?

Answers

Answer & Step-by-step explanation:

Since we use 5 parts blue and 3 parts red, the total sections is 8.

28/8 = 3.5

We want to find the red which is 3 parts.

3.5 * 3 = 10.5.

Your answer should be 10.5 pints of red.

Hope this helps!

What is 1.905 written as a mixed number in simplest form?

Answers

Answer:

1 9/10

Step-by-step explanation:

If you need this as a fraction then the answer is probably 1 9/10

The required mixed number for 1.905 is 1 905/1000  or 1 9 / 10.

Given that,
To determine the mixed fraction of 1.905.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
A mixed number is a number consisting of a whole number and a proper fraction.
The given number,
= 1.905
= 1 + 0.905
= 1 + 905 / 1000
= 1 905 /1000

Thus, the required mixed number for 1.905 is 1 905/1000  or 1 9 / 10.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Fill in the table using this function rule.
y=-2x +4

Answers

Answer

i think this is what you mean

Step-by-step explanation:

x          y

2         0

1          2

0         4

-1         6

-2        8

Tasha is packing gift bags that include

the same items. She has 72 glow sticks,

36 markers, and 24 bottles of bubbles.

Tasha believes that she can pack no

more than 6 bags using all of her

supplies. Do you agree with Tasha? Explain.

Answers

Answer:

No, I do not.

She can pack up to 12 bags

Step-by-step explanation:

Given

[tex]Glow\ sticks = 72[/tex]

[tex]Markers = 36[/tex]

[tex]Bubbles = 24[/tex]

Required

Is Tasha correct?

The maximum number of bags she can pack is determined by the greatest common factors (GCF) of the items.

i.e. GCF of 72, 36 and 24.

This is calculated as:

[tex]24 = 2*2*2*3[/tex]

[tex]36 = 2 * 2 *3*3[/tex]

[tex]72 = 2 * 2 * 2 *3*3[/tex]

Multiply all common factors:

[tex]GCF = 2 * 2 * 3[/tex]

[tex]GCF = 12[/tex]

The GCF is 12.

This implies that she can pack up to 12 bags

The graph below represents a recent 10 meter race between two remote control cars.

A graph titled Remote Control Car Race has seconds after race start on the x-axis and distance from start line (meters) on the y-axis. A line labeled red car goes through (3, 2) and (6, 4). A line labeled blue car goes through (3, 0) and (5, 2).

Which statements about the race are true? Check all that apply.
The red car won the race because it started above the blue car.
The cars crashed at 9 seconds into the race because that is the point of intersection, and neither car continued on after that point in time.
The blue car passed the red car at 6 m into the race because that is the point of intersection, and the blue car has a greater distance than the red car after that time.
The blue car is faster because the slope of its line is steeper than the slope of the line representiong the red car.
The blue car started 3 seconds late because it has an x-intercept of (3, 0) and x represents the time and y represents the distance from the starting line.

Answers

Answer:

options c d e

Step-by-step explanation:

Answer:

C D E

Step-by-step explanation:

Write an expression equivalent to 9(8x + 5) + 7

Answers

Answer:

72x+52

Step-by-step explanation:

72x+45+7=72x+52

Evaluate 11.5s + 10.7t when s = 7 and t = 8 .

Answers

Answer:

166.1

Step-by-step explanation:

It would become 11.5 * 7 + 10.7 * 8 = 80.5 + 85.6 = 166.1

Some isosceles triangles are not equilateral.
O A. True
O B. False

Answers

I looked it up, it says eq triangles have 3 sides. An isos triangle is one with 2 equal sides. Every eq triangle is isos, but not every isos triangle is equilateral. I think the statement in the photo is true.

A clock gains time at a steady rate. It is set to the correct time at
10: 00 AM. When the clock shows 2 : 00 PM, the correct time is
1: 36 PM. How many minutes fast will the clock be the next time the
correct time is 5 : 30 PM?

Answers

Answer:

The clock will be 50 minutes fast

Step-by-step explanation:

Proportions

It's known a clock gains time at a steady state, or constant rate.

At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.

From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes

Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.

When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.

Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.

The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.

The clock will be 50 minutes fast

Campsite fees
(per day)
Tent ...... .. $15.00
Caravan ....... $25.00
The sign shows the fees charged at a campsite.
Today there are 54 tents and 18 caravans on the site.
Calculate the fees charged today.​

Answers

Answer:

1260

Step-by-step explanation:

Tents: 15×54=810

Caravans: 25×18=450

450+810=1260

Answer:

$1260

Step-by-step explanation:

Campsite Fees:

Tent - $15 (per day)

Caravan - $25 (per day)

No. of Tents and Caravans today:

Tents - 54

Caravan - 18

Total fees for Tent = 15 x 54

= $810.

Total fees for Caravan = 25 x 18

= $450.

Fees altogether for Today = Total fees for Tent + Total fees for Caravan

= $810 + $450

= $1260

ntries into T Accounts and Trial Balance

Connie Young, an architect, opened an office on October 1, 20Y4. During the month, she completed the following transactions connected with her professional practice:

Transferred cash from a personal bank account to an account to be used for the business, $66,600.
Paid October rent for office and workroom, $6,700.
Purchased used automobile for $43,000, paying $10,000 cash and giving a note payable for the remainder.
Purchased office and computer equipment on account, $13,300.
Paid cash for supplies, $3,200.
Paid cash for annual insurance policies, $4,500.
Received cash from client for plans delivered, $16,700.
Paid cash for miscellaneous expenses, $1,800.
Paid cash to creditors on account, $3,860.
Paid $530 on note payable.
Received invoice for blueprint service, due in November, $2,200.
Recorded fees earned on plans delivered, payment to be received in November, $11,500.
Paid salary of assistants, $3,500.
Paid gas, oil, and repairs on automobile for October, $870.
Required:

1. Record the above transactions (in chronological order) directly into the T accounts. To the left of the amount entered in the accounts, select the appropriate letter to identify the transaction.

2. Determine account balances of the T accounts. Accounts containing a single entry only (such as Prepaid Insurance) do not need a balance.

Cash

fill in the blank ee9b75febf99fe7_2

fill in the blank ee9b75febf99fe7_4

fill in the blank ee9b75febf99fe7_6

fill in the blank ee9b75febf99fe7_8


fill in the blank ee9b75febf99fe7_10


fill in the blank ee9b75febf99fe7_12


fill in the blank ee9b75febf99fe7_14


fill in the blank ee9b75febf99fe7_16


fill in the blank ee9b75febf99fe7_18


fill in the blank ee9b75febf99fe7_20


fill in the blank ee9b75febf99fe7_22
Bal. fill in the blank ee9b75febf99fe7_23



Accounts Receivable

fill in the blank ee9b75febf99fe7_25



Supplies

fill in the blank ee9b75febf99fe7_27



Prepaid Insurance

fill in the blank ee9b75febf99fe7_29



Automobiles

fill in the blank ee9b75febf99fe7_31



Equipment

fill in the blank ee9b75febf99fe7_33



Accounts Payable

fill in the blank ee9b75febf99fe7_35

fill in the blank ee9b75febf99fe7_37


fill in the blank ee9b75febf99fe7_39
Bal. fill in the blank ee9b75febf99fe7_40


Notes Payable

fill in the blank ee9b75febf99fe7_42

fill in the blank ee9b75febf99fe7_44
Bal. fill in the blank ee9b75febf99fe7_45


Connie Young, Capital


fill in the blank ee9b75febf99fe7_47


Professional Fees


fill in the blank ee9b75febf99fe7_49


fill in the blank ee9b75febf99fe7_51
Bal. fill in the blank ee9b75febf99fe7_52


Salary Expense

fill in the blank ee9b75febf99fe7_54



Blueprint Expense

fill in the blank ee9b75febf99fe7_56



Rent Expense

fill in the blank ee9b75febf99fe7_58



Automobile Expense

fill in the blank ee9b75febf99fe7_60



Miscellaneous Expense

fill in the blank ee9b75febf99fe7_62

3. Prepare an unadjusted trial balance for Connie Young, Architect, as of October 31, 20Y4. For those boxes in which no entry is required, leave the box blank.

Connie Young, Architect
Unadjusted Trial Balance
October 31, 20Y4
Debit
Balances Credit
Balances

fill in the blank a257bb028f83050_2
fill in the blank a257bb028f83050_3

fill in the blank a257bb028f83050_5
fill in the blank a257bb028f83050_6

fill in the blank a257bb028f83050_8
fill in the blank a257bb028f83050_9

fill in the blank a257bb028f83050_11
fill in the blank a257bb028f83050_12

fill in the blank a257bb028f83050_14
fill in the blank a257bb028f83050_15

fill in the blank a257bb028f83050_17
fill in the blank a257bb028f83050_18

fill in the blank a257bb028f83050_20
fill in the blank a257bb028f83050_21

fill in the blank a257bb028f83050_23
fill in the blank a257bb028f83050_24

fill in the blank a257bb028f83050_26
fill in the blank a257bb028f83050_27

fill in the blank a257bb028f83050_29
fill in the blank a257bb028f83050_30

fill in the blank a257bb028f83050_32
fill in the blank a257bb028f83050_33

fill in the blank a257bb028f83050_35
fill in the blank a257bb028f83050_36

fill in the blank a257bb028f83050_38
fill in the blank a257bb028f83050_39

fill in the blank a257bb028f83050_41
fill in the blank a257bb028f83050_42

fill in the blank a257bb028f83050_44
fill in the blank a257bb028f83050_45
fill in the blank a257bb028f83050_46
fill in the blank a257bb028f83050_47
4. Determine the net income or net loss for October.

$fill in the blank 9acd7e077000f8b_2

Answers

this was an extremely long read

PLS HELP ASAP Which equation models this situation?
28 more than a number is 33.
A. X+ 33 = 28
B. X- 28 = 33
C. X = 28 + 33
D. X + 28 = 33

Answers

Answer:

d

Step-by-step explanation:

Answer:

more than a number = addition

so it is D because the end result has to be 33.

Step-by-step explanation:

Hope this helped!

To reason about the value of x in 1/4(12x - 8) =10, Joy and Paulo each rewrite the equation. Joy rewrites the equation as 3x - 2 = 10. Paulo rewrites the equation as
12x - 8 = 40. What are their strategies? Explain your reasoning.

Answers

Answer:

For Joy:

Strategy: Multiply through by 4

For Paulo:

Strategy: Evaluate the bracket

Explanation:

Given

[tex]\frac{1}{4}(12x - 8)=10[/tex]

Required:

Determine the strategies

For Joy:

Strategy: Multiply through by 4

[tex]4 * \frac{1}{4}(12x - 8)=10 * 4[/tex]

[tex]12x - 8 = 40[/tex]

Done

For Paulo:

Strategy: Evaluate the bracket

[tex]\frac{1}{4}*12x - \frac{1}{4}*8=10[/tex]

[tex]3x - 2 = 10[/tex]

Done

The temperature fell by 15 degrees Fahrenheit today.
Write a signed number to represent this temperature change.

Answers

Answer is   -15

We read this out as "negative 15" or you could write "negative fifteen".

The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.

For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.

rea Calculations
1.
What is the surface area of the bottom of a rectangular storage
tank 10 feet long and five feet wide?

Answers

Area = length x width
10 X 5 = 50

AB = AC = 25 and BC = 30. BD is perpendicular to AC . Find BD.

Answers

Answer:

15

Step-by-step explanation:

Sqr root of 225

Answer:24

Step-by-step explanation:

that's wrong, and I'm here to put the correct answer

take a look at this image, because ac=25 you set dc as x and ad as 25-x, then after that, you can form the equation root of 25^2-(x5-x)^2=root of 30^2-(x)^2 using the pythaeogrem theorem. After that you would get that x=18, then after that you just apply the theorem. 30^2-18^2 root which you would then get 24.

The length of a rectangle is two times its width. Find the area if its perimeter is 7 1/3

Answers

Let x be the width

width = x

Length is twice its width

length = 2x

Perimeter = length + width + length + width

Perimeter = x + 2x + x + 2x = 6x

Given that perimeter = 7 1/3

6x = 7 1/3

x = 7 1/3 ÷ 6 = 1 2/9

So width = 1 2/9

Length = 1 2/9 x 2 = 2 4/9

Area = length x width

Area = 1 2/9 x 2 4/9

Area = 2 80/81 square cm

plz help this is hard for me What is the area of this figure?

Answers

Answer:

21 m^2

Step-by-step explanation:

(5*2) + (6*2) - (1*1) = 21

Answer:
21m^2

Explanation:
First, we can find the areas of the two large rectangles.
A=lw
A=2*6
A=12m^2

A=lw
A=2*5
A=10m^2

Now, we can find the area of the small square where the two rectangles overlap. We can tell that the side lengths of the square are all equal to 1 (we know this because the side lengths of the rectangles are 1 less on one side).
A=lw
A=1*1
A=1m^2

Now, we can subtract 1m^2 from either of the two rectangles’ area we solved for earlier.

12m^2-1m^2
=11m^2

Then, we can add this area to the area of the other rectangle.

11m^2+10m^2
=21m^2

I hope this helps!

1 Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)​

Answers

Answer:

Step-by-step explanation:

Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)

What name is given to the price dealerships pay for vehicles?

Answers

Answer:

invoice price? retailers? dealers cost?

Step-by-step explanation:

i dont know if this is worded correctly for me to understand i-

Write an integer for deposit of $100

Answers

Write an integer for deposit of $100:

-$100

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Please help ASAP thank you!!!! Which of the following is considered a complex (Macro)molecule? Glucose DNA Carbon dioxide On the axes provided construct an appropriately labeled line graph with correct scale and units to illustrate the data in table 1 is 0.77 bigger or les than than 0.08? State the numbers of protons, neutrons & electrons in an atom of Carbon-14 How do you balance this equation? write the superlative degree of the words.Thin or Famous. Great Britain had provided trade, security and a great deal of independence to the colonies. Did the grievances of the Declaration of Independence justify the colonies in declaring their independence? Change 8.94 into a fraction Simplify the expression:-10(3x-6)3 61.5 dividido entre 0.750 Briefly explain the three clues that suggest that bacteria are an evolutionary success story 1. What does the method of animation in the zoetropehave in common with today's animation? Games:- Anyone who - Word association - Class count Chose one game and write a paragraph about 1. The Game or activity you have chosen and which goal of drama education it connects to2. How it connects to the goal ( it teaches students...... because.....) Plzzzz I need this fast just give ideas dont need to write the paragraph 5. Identify where the point of view shifts from third person to first person in the story. Why does the author use the first person to have Juvencio narrate this part of the story? Does the change significantly affect the tone of the narrative? Can you give me examples of grit in your life?Ill give brainlest When something is plumb, it isA. horizontally levelB. bobbedC. exactly verticalD. at a 30-degree angle please help me The measure of an exterior angle of a triangle is x. The measure of the adjacent interior angle is at least twice x. List three possible solutions for x. Michelle and Isabella are ice skating together. Michelle has a mass of 80 kg and Isabella has a mass of 50 kg. Both are at rest and and Isabella pushes of Michelle causing Isabella to move away at a speed of 4.0 m/s. Determine Michelle's speed. Fishing is NOT a popular attraction in Canada.TRUE or FALSE