Find the value of x such that the data set has the given mean. 98,122,104,115,107,x,102 x=(Type an integer or a​ decimal.)

Answers

Answer 1

Answer:

x = 66

Step-by-step explanation:

For a set of N numbers:

{x₁, x₂, ..., xₙ}

The mean can be calculated as:

[tex]M = \frac{x_1 + x_2 + ...+ x_n}{N}[/tex]

In this case we have the data set:

{98, 122, 104, 115, 107, x}

And I assume that we want to have the mean = 102.

So we have a set of 6 numbers, the mean of this set will be:

[tex]M = \frac{98 +122+104+115+107+x}{6} = 102[/tex]

We need to solve this equation for x.

If we multiply both sides by 6, we get:

(98 + 122 + 104 + 115 + 107 + x) = 102*6 = 612

546 + x = 612

x = 612 - 546 = 66

x = 66


Related Questions

Select the correct answer. What is the quotient when (16x^4 + 40x^3 - 24x^2) is divided by 8x^2?

pls pls pls help:((

Answers

Answer:

 (2x - 1) 4

STEP

1

:

Equation at the end of step 1

 ((((16•(x4))-(32•(x3)))+(23•3x2))-8x)+1

STEP  

2

:

Equation at the end of step

2

:

 ((((16•(x4))-25x3)+(23•3x2))-8x)+1

STEP  

3

:

Equation at the end of step

3

:

 (((24x4 -  25x3) +  (23•3x2)) -  8x) +  1

answer only if you know and NOT because you want brainliest ( ill report you if you do )

Answers

12x6.5x1.25=97.5 cubic centimeters answer B

6. Sara Just spent $44 to get her hair styled. She
wants to leave a 15% tip for her hairdresser. How
much should she leave for the tip?

Answers

Answer:

$6.60

Step-by-step explanation:

You'd take the total anf multiply it by your percent amount with the decimal moved two places to the left

44 * .15 = 6.60

6.60 is the answer ur looking for

For the GJW Clean Up event, Ms. Baran spent $37.95 on 23 packets of hand wipes for
her team of volunteers. What was the price of each packet think unit rate/price)?
Pls I need help on this quick

Answers

1.65 dollars for each packet

Please help me out! As soon as possible.

Answers

Answer:

Number of hours gardening

Step-by-step explanation:

12g

g = Number of hours gardening

Someone answer quick and right.
13points

Answers

Answer:

no

Step-by-step explanation:

A football team had a total of 33 players. One third of the players were seniors. How many players were underclassmen?

Answers

Answer:

22

Step-by-step explanation:

1/3 of 33=11

11=number of seniors

2/3 of 33=22

22+11=33

22=number of underclassmen

plz can i get brainliest:)

Find the area of each 1-10 show work.

Answers

Answer:

hope this helps you out good luck

If it took 4 hours to clean 10 houses, how many houses could be cleaned in 8 hours?

Answers

Answer:

20

(10 in 4) x 2

10 in 4 & 10 in 4

10 + 10

4 + 4

20 in 8

4. If a set of data is normally distributed with a mean of 40 and standard
deviation of nine. Determine the percent of the data that is between 36 and 41.

9.18%
18.81%
21.38%
54.38%

Answers

Answer:

18.81

Step-by-step explanation:

WRITE THE RATIO: A cookie recipe calls for 1 cup of flour to make 24 cookies. Create a proportion to show how many cups of flour are needed to make 36 cookies

Answers

Answer:

1&(1/2) or 1.5 or 3/2 cups flour needed for 36 cookies

Step-by-step explanation:

Flour : Cookie ratio (Flour needed to make particular cookie) = 1 : 24

1 cup flour make 24 cookies, so 1/2 cup floor make 12 (half) cookies.

So, 1&(1/2) or 1.5 or 3/2 cups would make 24 + 12, ie = 36 cookies

Alternatively

Multiplying numerator & denominator of fractional ratio 1 : 24 with 1.5 each

(1 x 1.5) : (24 x 1.5)

It implies 1.5 : 36 flour cookie ratio

How does making a frequency table or line plot help you see which value occurs most often in a data set? NO LINKS

Answers

Answer:

DONT USE THE LINKKKKK

Step-by-step explanation:

select all expressions that are equivalent to 3x - 2 (x - ) - 1
A.) -9 + x
B.) x + 7
C.) 3x - 2x - 8 - 1
D.) 3x - 2x + 8 - 1

Answers

Answer:

a

Step-by-step explanation:

A table with an area of 2688 inches and a length of 64''. Find the perimeter of the table

Answers

Answer:

212

Step-by-step explanation:

First you would need to divide 2688 and 64 you would get 42. Then, now you need to add 64+64+42+42. Which in the end equals 212.

Abbie opened a no-interest bank account with $20, and she deposits $14.50 every week. Carlos opened a no-interest bank account with $28, and he deposits $12.50 every week. Carlos and Abbie do not make any withdrawals from their accounts. The equation below can be used to find w, the number of weeks it will take for the balances in their accounts to be the same. 20 + 14.50w = 28 + 12.50w What value of w makes this equation true?

Answers

Answer:

4 weeks

Step-by-step explanation:

14.50 (4) + 20= 78

12.50 (4) + 28= 78

-12.5 would be between the numbers ___ and ___ because...

Answers

Answer:

- 12.5 would be between the numbers - 12 and - 13.

what is the length and width of a bedroom

Answers

Answer:

Well it depends on what your talking about because it could be a big room, small room, we dont know there is no numbers no nothing so sorry I cant help you

Step-by-step explanation:

Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack . She chooses one pencil at random, puts it back, and then chooses another pencil .

Answers

Answer:

then she only has eight pencils in the bag.

Step-by-step explanation:

Answer:

Eight

Step-by-step explanation:

Expand logarithm equation

Answers

Answer:

[tex] log_{2}(x) + log_{2}(y) + log_{2}(z)[/tex]

Step-by-step explanation:

[tex]5 log_{2}(xyz)^{ \frac{1}{5} } \\ \\ = 5 \times \frac{1}{5} log_{2}(xyz) \\ \\ = log_{2}(xyz) \\ \\ = log_{2}(x) + log_{2}(y) + log_{2}(z)[/tex]

Find the sum of 7x + 3 and 4x2 -5.​

Answers

Answer:

[tex]4x^2+7x-2[/tex]

Step-by-step explanation:

group like terms: [tex]4x^2+7x+3-5[/tex]

subtract 5 from 3: 3-5=-2

[tex]4x^2+7x-2[/tex]

1 point
Emily is baking chocolate cupcakes. Each batch of cupcakes requires cups of cocoa. If Emily has 3
cups of cocoa, how many batches of cupcakes will she be able to make?

Answers

how many cups does she have? you didn't day

There are 500 students in a school. Sara asked 100 of the students what their favorite lunch is. Out of the students surveyed 45 said pizza, 15 said burritos, 30 said hamburgers, and 10 said hot dogs. Based upon the results, how many students out of the whole school should want the items listed? (Round to the nearest whole number.) Pizza: 225 Burritos: 75 Hamburgers: 150 Hot Dogs: 50 Pizza: 22500 Burritos: 7500 Hamburgers: 15000 Hot Dogs: 5000 Pizza: 125 Burritos: 125 Hamburgers: 125 Hot Dogs: 125 Pizza: 45 Burritos: 15 Hamburgers: 30 Hot Dogs: 10

Answers

Answer: Pizza: 225 Burritos: 75 Hamburgers: 150 Hot Dogs: 50

Step-by-step explanation:

Since Sara asked 100 of the students for their favorite lunch but there are 500 students in a school, this means that the items listed will have to be multiplied by 5 (500/100) in order to get the number of students in the whole school that'll need the items listed. This will therefore be:

Pizza = 45 × 5 = 225

Burritos = 15 × 5 = 75

Hamburgers = 30 × 5 = 150

Hot dogs = 10 × 5 = 50

The correct option is A:

Pizza: 225 Burritos: 75 Hamburgers: 150 Hot Dogs: 50

i'll give you a brainliestt

Answers

The answer is 1,4. Hope that helps.

A baseball has a diameter of 3.5 inches. Find the volume of the baseball. Round your answer to the nearest tenth. Use 3.14 for π. The volume of the baseball is about in3.

Answers

38.48.........................

x-2y=4 in slope intercept form

Answers

Answer:

y = 1/2x - 2

Step-by-step explanation:

Slope intercept form:

y = mx + b

x - 2y = 4

-2y = -x + 4

2y = x - 4

y = 1/2x - 2

Answer: y=(1/2)x + 2

Slope intercept form: y = mx + b
y= answer, y-value
m=slope
x= independent variable, x-value
b= y-intercept (0,b)

x-2y=4
1. Isolate 2y by adding x to both sides of the equation: 2y = 4+x
2. Isolate y by dividing 2 to both sides of the equation: y = 2+(1/2)x
3. Rearrange in slope intercept form.
y=(1/2)x + 2

What is angle m1, m2 and m3?

Answers

m1 = 100
m2 = 80
m3 = 100
:))))))))))

A rectangle has vertices A(0, 0), B(0, 9), C(4, 9), and D(4, 0). What is the perimeter of the rectangle

Answers

Answer:

26 units

Step-by-step explanation:

A rectangle has vertices A(0, 0), B(0, 9), C(4, 9), and D(4, 0). What is the perimeter of the rectangle

We have to find the length of the sides of the rectangle using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For side AB

A(0, 0), B(0, 9)

= √(0 - 0)² + (9 - 0)²

= √0 + 81

= √81

= 9 units

For side BC

B(0, 9), C(4, 9)

= √(4 - 0)² + (9 - 9)²

= √4² + 0²

= √16

= 4 units

For side CD

C(4, 9), and D(4, 0)

= √(4 - 4)² + (9 - 0)²

= √0² + 9²

= √81

= 9 units

For side AD

A(0, 0), D(4, 0).

= √(4 - 0)² + (0 - 0)²

= √4² + 0

= √16

= 4 units

We can see than

AB = CD = 9 units

BC = AD = 4 units

The perimeter of a rectangle = 2(L + W)

From the above calculation

Length = 4 units

Width = 9 units

Perimeter = 2(4 + 9) units

= 2 × 13 units

= 26 units

Find the value of the expression (3x – 12) - (xy - 10) for x = 3 and y = 6.
O 4
0 -3
0 - 4
-2

Answers

Step-by-step explanation:

answer is -11 after you simplifying

-11 is the answer after simplifying

PLS HELP,, TIMED (SERIOUS ANSWERS PLS)

Which statement correctly interprets Limit of StartFraction 28 x minus 10 x squared Over 4 x squared minus 1 EndFraction as x approaches plus-or-minus infinity?

Answers

Answer:

D on ED

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Edge 2022

Please help pic is below!

Answers

Answer:

I cant explain it but I'm going to say 6 I haven't done this in a while but I say 6

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