Create a set of data that contains 11 test scores and satisfies each condition below:

Mean: 83
Median: 81
Mode: 80
Range: 26

Answers

Answer 1
the set of numbers you need to satisfy the following conditions are N:(70, 73,79, 80, 80, 81, 86,87,88, 93, 96)
Answer 2

Answer:

An example of a data set that satisfies each of these conditions is:

[72, 75, 79, 80, 80, 81, 82, 84, 88, 94, 98]

Step-by-step explanation:

Let's start by defining the terms:

Mean: Average of all numbers

Median: Middle score in a set of given numbers

Mode: Most frequently occuring number

Range: Difference between the lowest and highest number

There are many possible data sets for these conditions, but these are the numbers I found work. I'm sure there is a simpler way to figure this out, but this way makes the most sense to me. This was my process.

We know that all of our numbers need to add up to 913. We know this because our mean is 83 and there are 11 numbers (83X11=913). We can check this by taking 913/11 (the number of scores)=83 (mean)

We know that the median needs to be 81. When the numbers are in order lowest to highest, we would need to have 5 numbers below 81 and 5 numbers above 81.  The sixth number in the set should be 81.

We know the mode is 80, so 80 has to be in our data set at least twice with all other numbers appearing less often. This is why I put two 80s and one of every other number in my data set.

I then picked the lowest number in my data set, ensuring that a range of 26 would allow me enough space on both sides of the median. Since I have my lowest number, I can add 26 and get the highest number in my data set.

Once I have the main numbers, I just need to put other numbers before and after the median that would give me a sum of 913 (see the section about the mean). These can be any numbers that go in the right order as long as they don't change any of the numbers we've already established and they total 913.


Related Questions

What is the value of x in the equation −x = 6 − 4x + 18?
24
8
−8
−24

Answers

−x = 6 − 4x + 18
3x = 24
x = 8

answer
8  (second choice)
-x=6-4x+18
4x-x=24
3x=24
x=24/3
x=8
:)

NEED HELP FAST!!
5.
(05.03 MC)
Freddy reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:



Which equation best models the relationship between x and y? (1 point)


y = –5x + 40

y = –40x + 280

y = –40x + 200

y = –5x + 200

Answers

(0,200)(1,160)
slope = (160 - 200) / (1 - 0) = -40
u have a y int (where the line crosses the y axis) at (0,200)

in y = mx + b form, the slope is in the m position and the y int is in the b position...
so ur equation is : y = -40x + 200

A tree casts a shadow that is 18 feet in length. If the angle of elevation is 28 degrees, which of the following best represents the height of the tree?

Answers

to find the height

 multiply the length of shadow by the tangent of the angle

18 * tan(28)  =9.5708

 the tree is around 9.6 feet tall

The angle of elevation is the angle at which the object is viewed from below.  The height of the tree is 8,45feet

Angle of elevation

The angle of elevation is the angle at which the object is viewed from below.

If  tree casts a shadow that is 18 feet in length at the angle of 28 degrees, the height is calculated as:

sin theta = opposite/hypotenuse

sin 28 = H/18
H = 18sin28
H = 8.45 feet

Hence the height of the tree is 8,45feet

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At a physics convention, 10 companies set up equal sized square booths in a row along one wall of the convention center. The booths are adjacent to each other and a 4-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 2300 ft2. What is the side length of each booth?

Answers

I'm not 100% sure what this all means because I'm in a different school but, I believe they have a side length of 4600.


P.S. If it doesn't work, I am so sorry

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equiation to find the number of drinks she needs to sell to sell to earn $100

Answers

1.25x+1.49x+100
x represents how much of each drink she sold

A scale on a map says that 1 inch represents 60 miles. If the distance between two points on the map is 2 1/2 inches, how many miles are between the two points?

Answers

150 miles.
60 multiplied by two equals 120 miles. Another 30 miles are added because half of 60 is thirty.

To find the number of miles between the two points, we need to calculate the distance represented by 2 1/2 inches on the map.

Given that the scale states 1 inch represents 60 miles, we can use this information to determine the distance in miles represented by each inch on the map. So, if 1 inch equals 60 miles, then we can write this as the ratio: 1 inch / 60 miles. To find the distance represented by 2 1/2 inches on the map, we can multiply the ratio by the number of inches: [tex](2 1/2 inches) × (1 inch / 60 miles)[/tex]. Simplifying this expression, we get: ([tex]5/2 inches) × (1 inch / 60 miles).[/tex]

Now, we can multiply the numerators and denominators together: [tex](5/2) × (1/60) = 5/120 = 1/24[/tex]. Therefore, [tex]2 1/2 i[/tex]nches on the map represents 1/24 of the actual distance between the two points. Now, to find the actual distance in miles, we can divide 60 miles (representing 1 inch on the map) by 24: 60 miles [tex]/ 24 = 2.5[/tex] miles. Thus, the two points on the map are approximately 2.5 miles apart from each other in actual distance.

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Translate the sentence into an inequality.
Six subtracted from b is at most 21.

Answers

This is my answer that's a less than or equal sign

NEED URGENT HELP!

Match the graph with the correct equation.

y – 5= –(x + 3)

y – 3 = –(x + 5)

y – 3 = (x + 5)

y + 3 = –(x + 5)

Answers

(0, -2) (-2, 0)

slope = 2/-2 = -1

if x = -5, y = 3

equation
y - 3 = -1(x +5)
y - 3 = - (x + 5)

answer

y – 3 = –(x + 5)

Answer:  The correct option is (B) [tex]y-3=-(x+5).[/tex]

Step-by-step explanation:  We are given to match the graph shown with the correct equation.

From the graph, we note that

(-5, 3) and (0, -2) are two points that lie on the line graph.

So, the slope of the given graph is

[tex]m=\dfrac{-2-3}{0-(-5)}\\\\\\\Rightarrow m=\dfrac{-5}{5}\\\\\Rightarrow m=-1.[/tex]

Since the point (-5, 3) lies on the line, so its equation in point-slope form will be

[tex]y-3=m(x-(-5))\\\\\Rightarrow y-3=-(x+5).[/tex]

Thus, option (B) is CORRECT.

HELP PLEASE

What is the degree measure of the supplement of the complement of a 42-degree angle?

Answers

the answer is 90° degrees.

Is 5 3/7 real and irrational or real and rational?

Answers

real and rational because there are no irrational numbers like √2 or π
Real and rational is the correct answer

Which is not a true statement
0.3711 >0.3801

Answers

0.3711>0.3801 is not a true statement

The statement up above is not true

Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to evaluate it when n = 6. Her work is shown below.

Step 1: mc021-1.jpg
Step 2: mc021-2.jpg
Step 3: mc021-3.jpg
Step 4: mc021-4.jpg
Step 5: 7

In which step did she make an error?
step 1
step 2
step 4
step 5

Answers

Final answer:

Grace made an error in Step 5 of evaluating the expression 'three less than the quotient of a number squared and nine, increased by eight' when n = 6. The correct evaluation should result in 12, not 7 as she calculated. Hence, the error is in Step 5, where she incorrectly concluded that the expression equals 7.

Explanation:

The question asks us to identify the step at which Grace made an error in evaluating the expression given the description “three less than the quotient of a number squared and nine, increased by eight” when n = 6. Without seeing the exact steps Grace took, we can still solve the expression ourselves.

Firstly, let's translate the description into an algebraic expression using n as our number:

“Three less than the quotient of a number squared and nine” can be expressed as ((n^2)/9) - 3.

Then, we “increase by eight” to get the final expression: ((n^2)/9) - 3 + 8.

If n = 6, we substitute in the value to get: ((6^2)/9) - 3 + 8, which simplifies to (36/9) - 3 + 8 = 4 + 8 = 12.

Thus, the correct answer when evaluating the expression for n = 6 is 12. Grace's error appears to have occurred in Step 5, where she incorrectly evaluated the final sum as 7.

Suppose you have $16,000 to invest in three stocks, A, B, and C. Stock A is a low-risk stock that has expected returns of 4%. Stock B is a medium-risk stock that has expected returns of 5%. Stock C is a high-risk stock that has expected returns of 6%. You want to invest at least $1,000 in each stock. To balance the risks, you decide to invest no more than $7,000 in stock C and to limit the amount invested in C to less than 4 times the amount invested in stock A. You also decide to invest less than twice as much in stock B as in stock A. How much should you invest in each stock to maximize your expected profit?

Answers

Answer:

Stock A: 1

Stock B: 1 and 2

Stock C: 1,7,4

NEED URGENT HELP!

The table shows the height of a plant as it grows.
a. Model the data with an equation.
b. Based on your model, predict the height of the plant at 12 months

Answers

(3,9)(5,15)
slope = (15 - 9) / (5 - 3) = 6/2 = 3

y = mx + b
slope(m) = 3
(3,9)...x = 3 and y = 9
sub and find b, the y int
9 = 3(3) + b
9 = 9 + b
9 - 9 = b
0 = b

so ur equation is : y = 3x + 0....can be written as y = 3x.

after 12 months...
y = 3x...x = 12
y = 3(12)
y = 36 inches

Ankur estimated the quotient of 15 1/3 divided by (-4 2/3) to be 3. Which best describes his error?

Answers

When dividing a positive number by a negative number, the result is negative.
A better estimation would be -3.

Answer:

the anwser is b hope it helped

Which of this is tru

Answers

C because 19x899 equals 17081

Triangle xyz is reflected across the y axis and x = 4,-5 what are the coordinates of x

Answers

If a point is reflected over the y axis, it is the x coordinate that is changing. It is going to be the same distance from the y axis as before, just now the opposite. So now the coordinates of x are going to be (-4,-5).

Answer:

[tex]\tilde{x}=(-4,-5)[/tex]

Step-by-step explanation:

When we reflect a point [tex]P=(p_x,p_y)[/tex] over the y-axis, it's reflected to the point [tex]\tilde{P}[/tex] with the same y-coordinate as P and whose x-coordinate is minus the x-coordinate of P, hence

[tex]\tilde{P}=(-p_x,p_y).[/tex]

Therefore, in our particular case the point x=(4,-5) is reflected to the point

[tex]\tilde{x}=(-4,-5).[/tex]

NEED HELP FAST!!
Which statement is true about the equation 3/4 z = 1/4 z - 3 + 5?


It has no solution.

It has one solution

It has two solutions.

It has infinitely many solutions.

Answers

it has one solution which is z=4

One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.
A) The bases are congruent.
B) The solids are similar.
C) The ratio of the volumes of the first solid to the second solid is 8:1.
D)The volume of the first solid is twice as much as the volume of the second solid.
E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more
surface area than the second solid.

Answers

The correct answers about these solids are that:

The bases are congruent.The volume of the first solid is twice as much as the volume of the second solid. If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.

What is a congruent base

This is used to tell that the base of the triangles are the same and they have the same shape.

The volume of the first triangle is

[tex]2X^2h\\\\X^2h[/tex]is the volume of the second triangle.

The ratio is 2: 1

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Answer:

a, d, e

Step-by-step explanation:

You are stacking books into a shipping box that is 15 inches high. Each book is 1.25 inches thick. How many books can you fit in a stack?

Answers

12, because 15 divided by 1.25 is 12:)

Please help!! Attached an image, will give most brainliest

Answers

Answer: choice A

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

Explanation:

The graph shown is the inequality x > 10

So we need to see which answer choice solves to get that inequality.

Let's go through each choice one by one

-------------------
Choice A
x/5 - 6 > -4
x/5 - 6+6 > -4+6
x/5 > 2
5*(x/5) > 5*2
x > 10
So we found the answer on the first try. Let's see what the other answer choices say.
-------------------
Choice B
x/5 - 5 > 45
x/5 - 5+5 > 45+5
x/5 > 50
5*x/5 > 5*50
x > 250
This can be eliminated
-------------------
Choice C
x/5 - 6 < -4
x/5 - 6+6 < -4+6
x/5 < 2
5*x/5 < 5*2
x < 10
This is close to choice A, but the inequality sign has been flipped
This choice can be eliminated
-------------------
Choice D
x/5 + 5 > -45
x/5 + 5-5 > -45-5
x/5 > -50
5*x/5 > 5*(-50)
x > -250
This answer choice can be eliminated
-------------------
Choice A is the only answer.

NEED HELP!
Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Write a system to find the number of months after which they will have the same number of CDs. Let x represent the number of months and y the number of CDs.

Answers

The equation for Tom: y=30+1x
The equation for Nita: y=18+5x

This is the answer
Hope it helps :)

At the end of 3 month both have equal number of CDs i.e. 33

Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Write a system to find the number of months after which they will have the same number of CDs.

What is the equation?

Equation, is values of two expression that are equal.

Let x represent the number of months and y the number of CDs.

now
For Tom
Y = 30 + X


for Nita
Y = 18 + 5X

now solving both equation
30 + X = 18 + 5X
4X = 12
X = 3
for X = 3  y = 33

Thus At the end of 3 month both have equal number of CDs i.e. 33

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Which of these shows 7 + 2y rewritten using the commutative property of addition?

7y + 2
2y + 7
7 − 2y
2y − 7

bets answer gets brainiest!!!!!

Answers

2y + 7 is your answer
The answer will be 2y + 7

Two spheres of the same density have a ratio of 9 to 16 in surface area. If the small sphere weighs 15 kg, what does the large sphere weigh?

Answers

surface area of a sphere = 4 pi r^2

radius of small sphere =  sqrt (9/4pi) =   0.8463

radius  of larger one  = sqrt (16/4pi)  =  1.1284

ratio of the weights is 1.1284^3 : 0.8463^3  =   2.37

large sphere weighs  15 * 2.37 =  35.55 kg

Two equations are shown: Equation A y = 4 over x + 3 Equation B y = −2x − 4 Which statement best compares the graphs of the two equations? Both are nonlinear. Both are linear. Equation A is nonlinear and Equation B is linear. Equation A is linear and Equation B is nonlinear.

SHOW WORK!!

Answers

The given equations are
A. [tex]y= \frac{4}{x}+3 [/tex]
B. y = -2x - 4

Equation A is nonlinear.
Equation B is linear.
The graphs are shown below.

Answer:
Equation A is nonlinear and equation B is linear.

Answer:

The answer is C.  Equation A is nonlinear and Equation B is linear.

Hope This Helps!

Tony misplaced 7 stamps from his collection. He knows that each stamp of his worth $0.15 and that the total value of them is now only $5.55. write an -EQUATION- to determine the number of stamps (s) that tony originally had.

Answers

44 Stamps. 5.55/0.15 = 37 stamps. 37 + 7 = 44. 44 Stamps.
0.15(s-7)=5.55  divide both sides by 0.15

s-7=37  add 7 to both sides

s=44

So he had 44 stamps originally.

P = KT/V solve for k

Answers

[tex]P=\frac{KT}{V}\\\\V*P=\frac{KT}{V}*V\\\\PV/T=KT/T\\\\\frac{PV}{T}=K\\\\\\K=\frac{PV}{T}[/tex]

we have

[tex]P=\frac{KT}{V}[/tex]

Solve for K means clear the variable K

so

Multiply both sides by [tex]V[/tex]

[tex]PV=V\frac{KT}{V}[/tex]

[tex]PV=KT[/tex]

Divide both sides by [tex]T[/tex]

[tex]PV/T=KT/T[/tex]

[tex]K=PV/T[/tex]

therefore

the answer is

[tex]K=PV/T[/tex]

-1 = n+5 what does n equal to

Answers

n equals -6.
-6 + 5 = -1.

1.If 70% is £14, what is the full cost
2.4 bags of cement do 18msquared, how many msquared can be done with 7 bags
3.5x+1=3
4.find the nthe term of this sequence 7,12,17,22,27
4.if t(n)=6n+2 what is the 3rd term

Answers

1) £20
2) 18/4 * 7 = 31,5msquared
3) X= (3-1)/5 = 2/5 = 0.4
4) A(n) = 2 + 5n
5) t(3) = 6*3 + 2 = 20

3/8 of the people at a fun fair were children 3/4 of the remaining people were men there were 140 children than women how many people went to the funfair

Answers

This is the concept of algebra,
The fraction of children was: 3/8
fraction of adults was 1-3/8=5/8
fraction of men 3/4*5/8=15/32
fraction of women=5/8-15/32=5/32
Given that there was 140 more children than men, the fraction representing this will be:
(3/8-5/32)
=7/32
thus the total number of people will be:
1/(7/32)*140
=32/7*140
=640
the total number of people was 640
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