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The following data points represent the volume of gas in each race car driver's tank (in liters).
4, 5, 13, ?
If the mean of the data set is 7 L. find the missing volume of gas.
L
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Answers

Answer 1

Answer:

The missing value is 6!

Step-by-Step Explanation:

First, we know that there are 4 values in total, so we must multiply the mean, 7, by 4 to get the total sum of all the values. (7*4=28)

Now, we can write this as a function, where we can represent the missing value as 'x'.

[tex]4+5+13+x=28[/tex]

In order to get the missing value, we must solve the equation.

Step 1: Simplify.

[tex]4+5+13+x=28\\22+x=28[/tex]

Step 2: Subtract 22 from both sides.

[tex]22+x=28\\22+x-22=28-22\\x=6[/tex]

x is equal to 6, which means the missing volume of gas is 6!


Related Questions

A stack of books is 5 feet 5 inches high. How high is it in inches?

Answers

Well first, you have to know that there are 12 inches in a foot so, that's 12 / 3 = 4, so that means that for every foot, there are 4 books. The books are 5 feet tall so 4 x 5 = 20. Your answer is: 20 books are in a stack.

Answer:

Step-by-step explanation: I would do 5x12 because there are 12 inches in one foot so 5x12 is 60 so there is 60 inches

2n -1 | 18
n?
please fast!

Answers

Answer:

Step-by-step explanation:

2n-1=18n

18n-2n=16m

-1/16=16n

Seema is travelling to Kenya. She travels a distance of 8,300 km by plane to Lagos and then another 5,500 km to Nairobi. Both planes fly at an average speed of 1,200 kmh-1. What is her total flight time in hours and minutes, to the nearest minute?

Answers

Answer: 11 hours 30 minutes

Step-by-step explanation:

Total flight distance:

= 8,300 + 5,500

= 13,800 km

Flight time = Distance / Speed

= 13,800 / 1,200

= 11.5 hours

= 11 hours 30 minutes

What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Answers

Answer:

[tex] \frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}[/tex]

4x-5y+32=0 is the right answer.

Please PLEASE HELPPP!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.

Which expression is equivalent to 5/6c + 76c, if c+ 0?

Answers

Answer:

0

Step-by-step explanation:

If c=0

that expression also equals 0

Question 7 of 10
What is the solution to this equation

Answers

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

please help!
what is 2/7 x 1/3

Answers

Answer:2/21

Step-by-step explanation:

2 x 1      2

——-   =. -

7 x 3.    21

Anyone know the answer ?

Answers

Answer:

74 is the answer

Step-by-step explanation:

64+42=106

180-106=74

hope this helped!

Answer: 74°

42+64=106

180-106=74

I hope this helps :

What is the value of X?

Answers

X would = 1/3 if this isn’t right tell me

The answer is x = 11/36

lt is 100% right

5. The point (-7, 4) is reflected over the line x = -3. Then,
the resulting point is reflected over the line y = x. Where
is the point located after both reflections?
A. (-10,-7)
B. (1,4)
C. (4, -7)
D. (4,1)

Answers

Answer:

(4,1)

Step-by-step explanation:

Reflected over x = -3, new point : (1,4)

Reflected over y=x, new point = (4,1)

Solve the system of equations.

Answers

Answer:

x = -2y

Step-by-step explanation:

Step 1. x + 2y = 0

Step 2. x + 0 = -2y

Step 3. x = -2y

The function can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after

Answers

Answer: 0.09 mg

Step-by-step explanation:

To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.

= 5e⁻⁰°⁴ˣ¹⁰

= 5e⁻⁴

= 0.09157819444

= 0.09 mg

14a + 8
Factor the Algebraic Expression ​

Answers

Answer:

Step-by-step explanation:

2 is the largest shared factor.  Thus, the given 14a + 8 = 2(7a + 4).

Size of angle x in 51

Answers

Answer:

32

Step-by-step explanation:

you multiply the x factor

pls help I need it badly ​

Answers

Answer:

3.6

Step-by-step explanation:

Amanda buys 4 tickets to the baseball game for $24 each. Which equation

shows the closest estimate of the total amount Amanda spends?

Which equation shows the closest estimate of the total amount Amanda spends

Answers

Answer:

$96

Step-by-step explanation:

Given that,

The total number of tickets = 4

Cost of each baseball = $24

We need to find the equation that shows the closest estimate of the total amount Amanda spends.

Total cost = No. of tickets × Cost of each baseball

= 4×24

= $96

Hence, the total cost is $96.

3. A bag contains 46 blue ballons, 30 red ballons, and 24 purple ballons.
What is the probability of choosing a red ballon as a fraction in lowest
terms ? *
A 3 out of 10
B 3 out of 7
C 1 out of 3
D 1 out of 4

Answers

A because all of the numbers add up to 100 and there is 30 red so that would make it 30/100 and simplified it would be 3/10

please help me answer this question its urgent

Answers

Answer:

Step-by-step explanation:

1). [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n[/tex]

= [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{1}{12}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{1}{12}+2+\frac{2}{9})n[/tex]

= [tex](\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n[/tex]

= [tex]\frac{83}{36}n[/tex]

= [tex]2\frac{11}{36}n[/tex]

2). [tex]\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}[/tex]

= [tex](\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})[/tex]

= [tex](\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})[/tex]

= [tex](\frac{4-10+3}{10})g-(\frac{5+24}{30})[/tex]

= [tex]\frac{-3}{10}g-\frac{29}{30}[/tex]

= [tex]-\frac{3}{10}g-\frac{29}{30}[/tex]

3). [tex]i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h[/tex]

= [tex]7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h[/tex]

= [tex](7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h[/tex]

= [tex](\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h[/tex]

= [tex](\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h[/tex]

= [tex]\frac{99}{14}i-\frac{5}{12}h[/tex]

Help plz ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−(3v+1)+7(6v+6)=−37

Step 1: Simplify both sides of the equation.

−(3v+1)+7(6v+6)=−37

−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)

−3v+−1+42v+42=−37

(−3v+42v)+(−1+42)=−37(Combine Like Terms)

39v+41=−37

39v+41=−37

Step 2: Subtract 41 from both sides.

39v+41−41=−37−41

39v=−78

Step 3: Divide both sides by 39.

39v

39

=

−78

39

v=−2

Answer:

v=−2

Answer:-2

Step-by-step explanation:

SOMEONE PLS HELP THIS IS DUE SOON

Answers

Answer:

8.5

Step-by-step explanation:

since it is the same as ABC, 2x-1=16

add the 1 to both sides which gives you 2x=17

then divide each side by 2 which gives you x=8.5

now go submit!

can someone help simplify the following expression. 7t -3t + 4
A 4t + 4
B 7t - 1
D 10t + 4
C10 + 4

Answers

The answer is b I did this before

i'll give brainliest

Answers

Answer:

A. 50.3 meters

Can somebody please help me with this pleaseee

Answers

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

0 = x - 2

2 = x

0 = x + 2

-2 = x

Teresa is going with her family to watch

professional barrel racers. Her family

buys 6 tickets. They have a coupon for

$1.50 off each ticket. They pay $52.50

altogether for their tickets. Write an

equation that you could use to represent

the situation. What is the price of a ticket

before using the coupon?

Answers

Answer:

6 * (x - 1.50) = 52.50 ; 10.25

Step-by-step explanation:

Given that :

Number of tickets purchased = 6

Coupon off per ticket = 1.50

Total Amount paid for tickets = $52.50

Let x = initial price of ticket :

Number of tickets purchased * (Initial ticket price - coupon) = total amount paid

6 * (x - 1.50) = 52.50

6x - 9 = 52.50

6x = 52.50 + 9

6x = 61.50

x = 61.50 / 6

x = 10.25

Hence, initial price of ticket = $10.25

Calculate the slope between (-3,1) and (6,13)

Answers

Answer:

4 / 3

Step-by-step explanation:

slope formula: (y2 - y1) / (x2 - x1)

(13 - 1) / (6 + 3)

12 / 9

4 / 3

the answer is 4/3 so there you go

help me please!!! will give brainliest!!​

Answers

Answer:

what questions you need answers?

2. Lorena is trying to choose between two different savings accounts at H-Town Bank. She will deposit $3,500 dollars and will leave the money in the account for 12 years. There will be no additional money deposited or withdrawn from the account.​

Answers

Answer:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Choice 1 = X = Final Amount after 12 years = $5600

Choice 2 = Y = Final Amount after 12 years = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

Step-by-step explanation:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Initial Deposit Amount = $3500

Time period = 12 years

Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.

X = simple interest of 5% over the initial amount for 12 years.

Y = Compound interest 5% over the initial amount for 12 years.

Solution:

Let's calculate the profit for choice 1 = X

Simple interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P (1 + rt)

where, A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

Plug in the values to get the total amount.

A = 3500(1+0.05x12)

A = $5600 = final amount Lorena will get after 12 years.

Let's calculate the profit for choice 2 = Y

Compound interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]

where,

A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

n = number of times interest rate is applied or compounded. = 12

Plug in the values to get the total amount.

A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]

A = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.

Answers

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.

2(5x+3) ? what is the question ​

Answers

Hey there!

“2 (5x + 3)”

• FIRST and ONLY STEP: DISTRIBUTE 2 to ALL OF YOUR NUMBERS in the parentheses

2(5x) + 2(3)

2(5x) = 10x ⬅️ FRONT number

2(3) = 6 ⬅️ BACK number

BOTH OF YOUR NUMBERS ARE POSITIVE SO WE DON’T HAVE TO CHANGE ANYTHING

Answer: 10x + 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

10x+6

Step-by-step explanation:

you have to multiply 2 times 5 then 2 times 3 then multiply 10 times x and write 6 beside it.

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