the mean of the data set is 18. what number is missing? 21,11,_,27,22,13,16

Answers

Answer 1

The missing number given the mean of the data set is 16.

What is the missing number?

Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.

Missing number = (mean x total number in the data set) - sum of numbers in the data set

(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)

126 - 110

= 16

To learn more about mean, please check: https://brainly.com/question/25842202

#SPJ1


Related Questions

Jasmine played in a basketball tournament. The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. If Jasmine missed 9 baskets during the tournament, how many baskets did she make? Draw a diagram to demonstrate how you found your answer.

Answers

By using the given ratio, we will conclude that she made 24 baskets.

how many baskets did she make?

We know that the ratio of the number of baskets she missed to the number of baskets she made is 3:8.

This means, for each 3 missed baskets, she made 8.

Here we know that she missed 9. If we divide that by 3, we get:

9/3 = 3.

This means that she missed 3 baskets 3 times. And for each one of these 3 times she makes 8 baskets (for the given ratio).

Then we conclude that she makes 8*3 = 24 baskets.

If you want to learn more about ratios:

https://brainly.com/question/2328454

#SPJ1

Isabel’s competition who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. Graph the function in part e. Is your graph discrete or continuous? Explain.

Answers

Answer:

x= 1.99

f(x) = 1.99x + 3

Step-by-step explanation:

Hope this helps! (;

Question 4 of 21
What is the value of f(4) in the function below?
f(x) = 1/2 • 2x

Answers

Answer:

same rin tayo ganyan rin akin ang hirap

Step-by-step explanation:

good evening po

1/2 x 2(4)
=1/2 x 8
=4
Answer is 4

Which combined inequality has the same solution set shown in the graph?



Number line ranging from negative sixteen to zero with a line beginning with a close point at negative twelve and continuing to the left without end, and a second line beginning with a closed point at negative five and continuing to the right without end.


a ≤ –12 or a > 5


a ≤ –12 or a > –5


–a ≤ –12 or a > –5


–a ≤ –12 or a < –5

Answers

Step-by-step explanation:

there is a problem here. based on your textual description none of the 4 answer possibilities are right.

you said, one line starts with a closed (filled) point at -12 and going to the left (without end). a closed point means the point is included.

so, everything -12 and smaller.

that is a <= -12

the other line starts with a closed (filled) point at -5 and goes to the right without end.

this is a >= -5

so, if your textual description is right, you need an answer option

a <= -12 or a >= -5

FYI

the answer options with -a <= -12 don't make much sense, because that simply means a >= 12. and you don't have any line starting at plus 12 and going to the right.

math homework help - please


It costs $3 for children and $7 for adults to attend a school game. If 5000 people attended the game and the total taking was 25000, determine no. of children and adults that atteneded

Answers

Answer:

The number of children is 2500 and the number of adults that attended the game is also 2500.

Step-by-step explanation:

Let us consider that, number of children be x and number of adults be y that attend game.

Since, total 5000 people attend the game.

It costs $3 for children and $7 for adults and the total takings at the door was $25000

             

Substitute value of x from equation 1 into equation 2.

         

So that,

Thus, the number of children is 2500 and the number of adults that attended the game is also 2500.

Try this method to answer without algebra.
If everyone paid $3 the 5000 would pay 5000 x $3 = $15000
The extra $10000 must come from the extra $4 the adults pay
$10000 / $4 = 2500
So there must be 2500 adults and 2500 children

If y = –0.96 when x = 2.4, what is y when x = 2.9?

Answers

Answer:

It should be -1.16

Step-by-step explanation:

Hope this helps :)

hi people ~

can you give me eassy on WORLD AGAINST CHILD LABOUR I need 80 word I already write this but I want 80 word more please give me your own choice on WORLD AGAINST CHILD LABOUR thnks ​

Answers

♨ANSWER♥

Child labor is a service rendered by children in any field during their childhood. This is done due to lack of resources for subsistence, irresponsibility of the parents or lack of resources by the owner to increase their returns on low investment.

This does not matter with the cause of child labor as all the reasons force children to live life without childhood. Childhood is the greatest and happiest period of everyone’s life, during which one learns about the basic strategy of life from parents, loved ones and nature. Child labor interferes with the proper growth and development of children in all aspects, mentally, physically, socially and intellectually.

...hope this helps...

_♡_mashi_♡_

Please help me, I will give brainliest! :)

Answers

Answer:

5 + 24x

Step-by-step explanation:

Given phrase - Five more than the product of 24 and a number.

In the given phrase, the word "more" means "addition". Therefore,

⇒ 5 + than the product of 24 and a number

The word "product" defines multiplication between two numbers. In this case, the product of 24 and a number is 24(number).

⇒ 5 + 24(number)

The question stated to use the "n" to represent the unknown number. Let the unknown number be known as "n".

5 + 24n

Therefore, the expression is 5 + 24n.

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

Learn more - https://brainly.com/question/13536824

A solution contains 8% salt. How much pure water should be added to 25 ounces of the solution to dilute it to a 3% solution? Round to the nearest hundredth if needed.

Answers

41.67 ounce of pure water should be added to 25 ounces of the 8% salt solution to dilute it to a 3% solution

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of pure water needed to dilute the solution. Hence:

8% * 25 = 3% * (x + 25)

2 = 0.03x + 0.75

x = 41.67 ounce

41.67 ounce of pure water should be added to 25 ounces of the 8% salt solution to dilute it to a 3% solution

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The product of two numbers is 5, if their sum is 9/2. What are the numbers? with detail explaniation

Answers

Answer: The numbers are 2 and 2.5

Explanation:

Let one number be "x" and another "y", Note: 9/2 = 4.5 [in decimal form]

[tex]\rule{185}{2}[/tex]

Their product :

[tex]\hookrightarrow \sf x \ \cdot \ y = 5[/tex]    

[tex]\hookrightarrow \sf x = \dfrac{5}{y} \quad \ \ \leftarrow \quad equation _1[/tex]

Their sum :

[tex]\hookrightarrow \sf x + y = 4.5[/tex]

[tex]\hookrightarrow \sf x = 4.5-y \quad \ \ \leftarrow \ equation_2[/tex]

Solve them simultaneously:

[tex]\rightarrow \sf 4.5 - y = \dfrac{5}{y}[/tex]

cross multiply

[tex]\rightarrow \sf y(4.5 - y) = 5[/tex]

distribute inside parenthesis

[tex]\rightarrow \sf -y^2 +4.5y - 5 = 0[/tex]

multiply by -1

[tex]\rightarrow \sf y^2 -4.5y + 5 = 0[/tex]

factor them out

[tex]\rightarrow \sf ( y - 2.5)(y - 2)= 0[/tex]

set to 0

[tex]\rightarrow \sf y = 2.5, \ 2[/tex]

Another number:

When one number is 2.5, then another: 4.5 - 2.5 = 2

When one number is 2, then another: 4.5 - 2 = 2.5

Hence, the numbers are 2.5 and 2

Check:

Product: 2 × 2.5 = 5Sum: 2 + 2.5 = 4.5 or 9/2

The numbers obtained by the given condition that the product of two numbers is 5 if their sum is 9/2 will be x =( 2 or 5/2) and y = ( 2 or 5/2).

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the first number is x and the second is y then

Product xy =  5

Sum x + y = 9/2

substitute y = 9/2 - x into first

x( 9/2 - x) = 5

2x² - 9x + 10 = 0

2x² -5x -4x + 10 = 0

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

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

x =2 and x = 5/2

Corresponding to x y will be y = 2 and y = 5/2.

For more about the equation

brainly.com/question/2263981

#SPJ2

Anne, Bridget, and Sasha shared a sum of money. Anne took 1/3 of the total amount, and Bridget took 1/4 of the remaining money. After both of them had taken their share, Sasha took 1/2 of what was left. If Anne took $160, how much did Sasha take?

Answers

Answer:

180

Step-by-step explanation:

160= 1/3 * total
160*3 = total
480 = total

bridget = 1/4(total)
bridget = 1/4(480)
bridget took  120

Sasha took 1/2 of 360
Sasha took $180.

Solve the system of equations.

4x - 2y = 8
3x + 4y = 17

A. (2, 0)

B. (7, -1)

C. (3, 2)

D. (4, 4,)

Answers

Answer:

The answer is option C

Step-by-step explanation:

The solution is in the image

Answer:

Step-by-step explanation:

8x - 4y = 16

3x + 4y = 17

11x = 33

x = 3

12 - 2y = 8

-2y = -4

y = 2

(3, 2)

answer is C

Find the value of n in the following
equation. Give your answer as a
decimal.
n+3.1:6.4= 96

Answers

N+3.1/ 6.4= 96
N= 95.515625

What is the mean in a math problem

Answers

Answer:

the mean is the average of a set of numbers

Step-by-step explanation:

for example, if a set of numbers were 1,2, and 3, the mean would be 2 because the average is 2.

This can be calculated by adding 1, 2, and 3, and dividing them among all three numbers

1+2+3 = 6

6/3 =2

there are three numbers in the data set that we were trying to get the mean from

give brainliest, please! hope this helps :)

Answer:

  generally, the sum divided by the number of summands

Step-by-step explanation:

In math the term "mean" can have different meanings, depending on the context. It will generally refer to the arithmetic mean, if no additional qualifiers are given. The arithmetic mean is also called the average.

__

arithmetic mean

The arithmetic mean of a set of numbers is their sum, divided by the number of numbers. It is sometimes represented by the Greek letter μ or a variable with an overbar.

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

geometric mean

The geometric mean will be the n-th root of the product of n numbers.

  [tex]\text{geometric mean}=\sqrt[n]{x_1\cdot x_2\dots\cdot x_n}[/tex]

harmonic mean

The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.

  [tex]\text{harmonic mean}=\dfrac{n}{\dfrac{1}{x_1}+\dfrac{1}{x_2}+\dots+\dfrac{1}{x_n}}[/tex]

proportion

In a proportion written as ...

  a/b = c/d

The two values closest to the middle of the expression (b and c) are called the "means". Those farthest away (a and d) are called the "extremes". It is said that ...

  the product of the means is equal to the product of the extremes

Salazar assigns the same number of homework questions each school day. The ratio table below shows the total number of homework questions assigned after a certain number of school days.




After 16 days, how many total homework questions have been assigned?
A:60
B:80
C:95
D:115

Answers

Answer:

B

Step-by-step explanation:

First, we have to find the rate of change for this problem. To do this, we subtract any two numbers of days and the coordinating two total questions. Let's just use the first two rows. 8-4=4, and 40-20=20. For every 4 days, he answers 20 questions. We can further simplify this by dividing both sides by 4. 4/4=1, and 20/4=5. For every 1 day, he answers 5 questions. Now, to find 16 days, we just multiply both sides by 16. 16*1=16 and 16*5=80. For every 16 days, he answers 80 questions. 80 is our answer.

Hope this helps!

Select the correct answer from each drop-down menu. The graph represents the piecewise function.

Answers

The functions will be defined as y = x² if 0 ≤ x < 3, y = -x + 10 if 3 < x ≤ 6, and y = x + 2 if 6 ≤ x ≤ 10.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graph is given below.

The function can be defined as

The parabolic equation will be

f(x) = x²

The equation of the absolute function will be

f(x) = |x - 6| + 4

Then we have

[tex]f(x) = \left\{\begin{matrix}y=x^2 & 0\leq x < 3 \\\\y=-x+10 & 3 < x\leq 6 \\\\y=x+2 & 6\leq x \leq 10 \\\end{matrix}\right.[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

If y varies directly as as x and y=12 when x=4, find y when x=12

Answers

Answer:

y=48

Step-by-step explanation:

What are the zeros of the quadratic function f(x)=8^2-16-15

Answers

Answer:

put formula a square minus b square

what percent of their gross pay is being withheld

Answers

The total amount of deductions from an employee's gross pay is $83.20. If the gross pay is $378.18, what percent of their gross pay is being withheld?
a.
21%

b.
22%

c.
23%

d.
24%

Correct answer: b. 22%
The answers is 22 percent!

Evaluate the expression.

Answers

18 is the answer to this question

22. Which is an expression for the area
of ABC?

Answers

Answer:

C

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] product of 2 sides × sin ( angle between the 2 sides )

We are only given 1 side (AC) so require to find AB or BC using the Sine rule

the third angle B = 180° - (48 + 67)° = 180° - 115° = 65°

using the Sine rule to find AB

[tex]\frac{AB}{sin67}[/tex] = [tex]\frac{15}{sin65}[/tex] ( cross- multiply )

AB × sin65° = 15 × sin67° ( divide both sides by sin65° )

AB = [tex]\frac{15sin67}{sin65}[/tex]

Now

A = [tex]\frac{1}{2}[/tex] × AB × AC sin48°

   = [tex]\frac{1}{2}[/tex] × [tex]\frac{15sin67}{sin65}[/tex] × 15sin48°

  = [tex]\frac{15sin67}{2sin65}[/tex] × 15sin48° → C

Mario is making 12 dozen cookies. Each dozen requires
3
5
cup of flour. How many total cups of flour does Mario use?

Answers

Answer:

7 1/5 cups of flour

Step-by-step explanation:

divide 3/5 which is 0.6 then multiply that by 12, which is 7.2

then convert that into a fraction which is 7 1/5

Find the solution set for |2x-3|=9

Answers

Answer:

x = 6, -3

Step-by-step explanation:

. . . . . . . . . . . . . . . . .

Nala wants to find out if the quadrilateral shown is a rectangle. Nala's plan: • Find the slopes of all four sides. • See if there are two pairs of equal slopes. • See if there are two pairs of slopes that are negative reciprocals. Will her plan work? Why or why not?

Answers

Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other. Therefore her plan will work.

Proof for a quadrilateral

A quadrilateral are shapes with 4 sides. A rectangle is a quadrilateral with 2 parallel sides.

According to Nala's plan to find out if the quadrilateral shown is a rectangle, she can do the following;

See if there are two pairs of equal slopesSee if there are two pairs of slopes that are negative reciprocal

Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other.  

Learn more on quadrilateral here: https://brainly.com/question/21662845

#SPJ1

Solve for x
10
*
90⁰
26

Answers

Answer:

x=24

Step-by-step explanation:

x=√(26)²-(10)²

x=√676-100

x=√576

x=24

HELPPPPPPPPP!!!!!!!!!!!

Answers

Hold on ill have it all figured out

if i spent 35 dollars every 2 weeks how much money would i have spent in a year​

Answers

Answer:

$910

Step-by-step explanation:

there are 52 weeks in a year

52/2 = 26

if someone spends 35 every two weeks then

35x26=910

Answer:

840$

Step-by-step explanation:

2*2= 1 month (4weeks)

35*2= 70

70*12 (months of the year) = 840$

PLEASE HELP ME!!

Use triangle XYZ to answer questions 3-5.

1) Use special right triangles to help find the length of segment XY. What is the exact height of triangle XYZ?
Click the keyboard button to enter your answer.


2)What is the exact area of triangle XYZ? Leave your answer in radical terms.
Click the keyboard button to enter your answer. Show your work.

3)What is the area of triangle XYZ to the nearest tenth of a square in?

Answers

The exact height of the triangle is 20.8ft

The area of the right tringle in radical form is 72√3 ft²

The area of the triangle in decimal form is 124.7 ft²

How to find the side and area of a right angle triangle?

The side XY or height of the triangle can be found as follows:

Using trigonometric ratios,

tan 60° = XY / 12

XY = 12 tan 60°

XY = 12 × 1.73205080757

XY = 20.7846096908

height = 20.8ft

The area of XYZ = 1 / 2 bh

where

b = baseh = height

Therefore,

The area of XYZ = 1 / 2 × 12 × 20.8 = 124.707658145  = 124.7 ft²

The area in radical form = 1 / 2 × 12 × 12 tan 60°

The area in radical form =  1 / 2 × 12 × 12 × √3 = 144√3 / 2 = 72√3 ft²

learn more on triangles here: brainly.com/question/2773823

#SPJ1

Match the polynomial on the left with the corresponding polynomial on the right.
Add: (3x − 2x² + 4) + (x² - 4x - 5)
-
Find the opposite of: 3x² - x + 1
Subtract: (x² + 3x-4) - (4x-2x²-3)
-3x²+x-1
-x²-x-1
3x²-x-1
3x²+x-1
4x² - 6x 1

Answers

The polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).

What exactly is a polynomial?

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

a)Given polynomials;

⇒(3x − 2x² + 4) + (x² - 4x - 5)

⇒− 2x²+x²+3x-4x+4-5

⇒-x²-x-1

b)The opposite of the given polynomial is found by changing the sign in the polynomial as;

⇒3x² - x + 1

⇒(-3x²) -(- x) + (-1)

⇒-3x²+x-1

c)The subtraction operation in the polynomial is found as;

(x² + 3x-4) - (4x-2x²-3)

(x²-2x²)+(+3x-4x)+(-4+3)

-x²-x-1

Hence,the polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).

To learn more about polynomials, refer to:

https://brainly.com/question/17822016

#SPJ1

Elvera Hilton earns $12 an hour at her job. The hours she worked during each of the last four weeks are shown below

Answers

Answer:

12x7 4 times add it up u got the anwser

Other Questions
In soccer, the player who receives the ball a large share of the time is called the _________.A)captainB)kickerC)target playerD)sweeperThis is a forward position sometimes called a striker The box plot below represents some data set. What is the interquartile range (IQR) of the data? 3x+2y=39 5x-y=13What is the solution to the system of equations What are some slogans for fracking? Which is a mood that an author could create in a text?apologeticcasualdisapprovinghopeful URGENT PLEASE HELP!!petrus takes a bus to school. The bus travels at an average speed of 40km/h. The school is 9km from his house. How many minutes does he take to get to school? Competition among economic units ______. Multiple select question. should not occur within a market system diffuses economic power within the businesses and households that make up the economy. implies that producers can enter or leave an industry is not congruent with the concept of self-interest Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!WILL MARK BRAINLIEST FOR WHOEVER ANSWERS THIS !!! :DD Select ways we can restore balance to the environment.conservationrecycling cans, newspapers, clothgo campingreplant treeseach adult American to own his own carbuy a recreational vehicleridesharing (carpooling) What country is the largest democracy in the world with an estimated 850,000 million eligible voters?. you must realize that your interpretation of a poem will be a personal onetrue or false a rectangle with a perimeter of 30 centimeters is twice as long as it is wide. what is the area of the rectangle in square centimenters? The government is the leading employer in both alaska and hawaii. true false answer number ! and fill in the unkown Prepare a dialogue on the topic Possibitics of Rural Tourism in Nepal " Write 4x(4x + 4x) in standard form. Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFractin right-parenthesis.) and has a slope of StartFraction 3 Over 4 EndFraction.? y y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis. = y minus StartFraction 3 Over 4 EndFraction equals StartFraction one-third EndFraction left-parenthesis x minus 4 right-parenthesis.(x 4)y y minus StartFraction one-third EndFraction equals 4 left-parenthesis x minus StartFraction 3 Over 4 EndFraction right-parenthesis. = y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x 4)y y minus StartFraction one-third EndFraction equals 4 left-parenthesis x minus StartFraction 3 Over 4 EndFraction right-parenthesis. = 4(x )y 4 = y minus 4 equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus StartFraction one-third EndFraction right-parenthesis.(x ) what is 3+7, i got 346 but i dont know if its right Notice the use of diction in the following sentences. Sentence A: The person walked toward the door.Sentence B: The stranger crept toward the door. What is the biggest difference between sentence A and sentence B? A. The structure B. The meaning C. The perspective D. The tone Why is it helpful to get the reaction of peer reviewers, such as your classmates?You can exchange drafts of stories as well as essays.They can look at your draft with fresh eyes.You can think about one anothers work.They can make quick notes about your draft.