Suppose that salaries for recent graduates of one university have a mean of $24,800 with a standard deviation of $1100. Using Chebyshev's Theorem, what is the minimum percentage of recent graduates who have salaries between $21,500 and $28,100

Answers

Answer 1

Answer: The mininum percentage of recent graduates is 88.9%

Step-by-step explanation:

We are given:

Mean value = $24,800

Standard deviation = $1100

Minimum value of salary = %21,500

Maximum value of salary = %28,100

The equation for Chebyshev's Theorem is given by:

[tex]\%=1-\frac{1}{k^2}[/tex]           .....(1)

To calculate the value of 'k', we first subtract the mean value from the maximum value.

⇒ [28,100 - 24,800] = 3300

Secondly, dividing the above-calculated value by the standard deviation, we get:

[tex]\Rightarrow \frac{3300}{1100}=3=k[/tex]

Putting value of 'k' in equation 1, we get:

[tex]\%=1-\frac{1}{3^2}\\\\\%1-\frac{1}{9}\\\\\%=\frac{8}{9}=88.9\%{[/tex]

Hence, the mininum percentage of recent graduates is 88.9%


Related Questions

You are studying the color patterns of a species of iris that can be yellow, purple, or red. If you are performing a chi-squared test to compare the number of each you find in a field to the number you would expect to find based on the pollinators in the area, how many degrees of freedom would you have in your analysis

Answers

Answer:

Number of  degrees of freedom = 2

Step-by-step explanation:

The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.

Here the total phenotype number is three i.e yellow, purple, or red

Hence, the number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom =  3-1

Number of  degrees of freedom = 2

Graph the solution to the following linear inequality in the coordinate plane. 5 x - y > -3

Answers

Given:

The inequality is:

[tex]5x-y>-3[/tex]

To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

[tex]5x-y>-3[/tex]

The related equation for this inequality is:

[tex]5x-y=-3[/tex]

The table of values is:

x         y

0        3

-1        -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

[tex]5(0)-(0)>-3[/tex]

[tex]0>-3[/tex]

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.

Factorize by splitting the middle term: 100 x2 – 20x + 1.

Answers

I remember working on this like a few days ago the answer was 35 hope this helps

Answer:

Below;.

Step-by-step explanation:

100x^2 - 10x - 10x + 1

= 10x(10x - 1) - 1(10x - 1)

= (10x - 1)(10x - 1).

5x5x5x5x5 in expression in exponential form

Answers

Answer:

5^5

Step-by-step explanation:

There are 5 fives being multiplied together.

The expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].

To express the expression 5x5x5x5x5 in exponential form, follow these steps:

Step 1: Count the number of times the base (5) is multiplied by itself (the number of factors).

Step 2: Write the base (5) followed by the exponent, which is the number of factors from Step 1.

In this case, the base is 5, and it is multiplied by itself 5 times:

5x5x5x5x5 = [tex]5^5[/tex]

So, the expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].

To know more about exponential form, refer here:

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mrqualyn needs helppppppp

Answers

Answer:

25 minutes

Step-by-step explanation:

1 hour 15 minute ( 1 hour = 60 minutes)

60+15 = 75 minutes

75 minutes for play practice

Divide by 3 to get the amount of time for homework

75/3 = 25

25 minutes for homework

Time taken by Trevor to practice for the school play=1 hour 15 minutes=1.15 hours

Time taken by Trevor to finish his homework=1.15×3=3.45=3 hour 45 minutes

Hope it helps you

Use the formula for the sum of the first n integers either to evaluate the sum or to express it in closed form.

a. 9 + 10 + 11 + 12 + .........+ 400
b. 9 + 10 + 11 + 12 +......... + k

Answers

Answer:

A) 80,164

B) S_n = (n/2)(17 + n)

Step-by-step explanation:

A) Formula for the nth term of an arithmetic progression series is;

a_n = a + (n - 1)d

a is first term of the series and in this case it is 9.

Difference is d which is 1 since they are consecutive integers.

Thus, For the last term which is 400, we have;

400 = 9 + (n - 1)1

400 - 9 = n - 1

391 = n - 1

n = 391 + 1

n = 392

Thus,there 392 terms in this sequence.

Formula for sum of an AP is;

S_n = (n/2)(2a + (n - 1)d)

S_392 = (392/2)((2 × 9) + (392 - 1)1)

S_392 = 80,164

B) The last term here is k, so we can't know exactly how many terms are in this sequence. Thus, let the number of terms be n.

Now, as above,

a = 9

d = 1

Sum of this AP sequence is;

S_n = (n/2)((2 × 9) + (n - 1)1)

S_n = (n/2)(18 + n - 1)

S_n = (n/2)(17 + n)

The store charges $2.50 for a bottle of soda and $1.25 for a bottle of water. Write an equation in standard form for the number of soda (s) and water (w) bottles that you can buy with $15. PLZ HELPPPP

Answers

Answer:

2.50 + 1.25= 3.75

15.00 - 3.75= 11.25

Step-by-step explanation:

Jasmine drinks 500 ml of water 3 times a day. How many days would it take to drink 9 liter of water?

Answers

Answer:

6 days

Step-by-step explanation:

1 L = 1000 mL

3 days = 1500 mL = 1.5 L

9 L divided by 1.5 L = 6 days

please help me with 5th question​

Answers

Answer:

uog cougccutxcouxi tdddpfd tdosiduo

Step-by-step explanation:

গ cuogchlicglici xiyxryfkcyricgilxiygciyrcuoxucy

How would you classify the number 121?


A. Perfect square

B. Perfect cube

C. Both a perfect square and a perfect cube

D. Neither a perfect square nor a perfect cube

Answers

A . Perfect square

Step-by-step explanation:

This is your answer

Hope this helps you :)

Answer: B- Perfect cube

Step-by-step explanation: I am smort

tom has 60 apples, 30 oranges and 10 bananas
Valerie has 45 apples, 20 oranges and 5 bananas

how many more apples, oranges and bananas does tom have each?

how many apples, oranges and bananas do they have in all?

how many apples, oranges and bananas do they have in all times 2?

Answers

Answer:

15 10 5

60+45=15

30-20=10

10-5=5

170

60+30+10+45+20+5=170

340

170x2=340

Step-by-step explanation:

Find the circumference of this circle
using 3 for T.
C ~ [?]
2
C = 2Tr

Answers

Answer:

12

Step-by-step explanation:

Formula:

C = 2πr

Given:

r = 2, π = 3

The circumference:

C ≈ 2*2*3 = 12

Hope this help!!!

Have a nice day!!!

Solve (5y+2)(y+2)=3(5y+2)

Answers

Answer:

y=1, y=-2/5

Step-by-step explanation:

Answer:

y= -2/5 .   y= 1

Step-by-step explanation:

Solve for x
(4/y) + (3/x) = 8
(6/y) + (5/x) = 13

Answers

Answer:

0.5

Step-by-step explanation:

Given data

[tex]\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13[/tex]

Now,

4x+3y=8xy......(i)

6x+5y=13xy.......(ii)

Multiply by 5 in equation (i) and by 3 in equation (ii)

20x+15y=40xy.....(iii)

18x+15y=39xy.....(iV)

Solving above equation (iii) and (iv)

2x=xy

y=2

Now, putting the y=2 in equation (i)

4x+3(2)=8x(2)

4x+6=16x

6=12x

x=0.5

Value of x=0.5

Devaughn is 14 years younger than Sydney. The sum of their ages is 76. What is Sydney's age?​

Answers

9514 1404 393

Answer:

  Sydney is 45

Step-by-step explanation:

Let s represent Sydney's age. Then Devaughn's age is (s-14). The total of their ages is ...

  s +(s -14) = 76

  2s = 90 . . . . . . simplify, add 14

  s = 45 . . . . . . . divide by 2

Sydney's age is 45.

___

Check

  Devaughn's age is 45 -14 = 31. Their age total is 45 +31 = 76, as required.

Answer:

x + (x - 14) = 76

2x - 14 = 76

2x = 90

x = 45

Sydney is 45

45 - 14 = 31

Devaughn is 31

31 + 45 = 76 ✅

If f(x) = -2[x] + 8, what is f(-1.8)?
4
6
10
12

Answers

Answer:

it's 12!

Step-by-step explanation:

Answer:

C. 10

Step-by-step explanation:

First, you plug in f(-1.8) into the original equation.

f(-1.8) = -2 (-1) + 8

The reason why I rounded -1.8 to -1 is because we're using the ceiling function, which means we need to round up (the brackets tell you in Edge but not on Brainly). Rounding up a negative number means we are going closer to 0. The next whole number close to -1.8 on the right will be -1.

Now solve:

f(-1.8) = 2 + 8 = 10

The answer is 10 if f(-1.8)

If you need more proof I took the quiz as well:

cho hệ các vector
U = − − + − {(1,2, ); (2,3, 1);(1,0,2 n n n (0, 1,1 ); ) n }.
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để u k = + (2,3, 1) 2 là một tổ hợp tuyến tính của W , và suy ra [ ] u W

Answers

B

Only answering for points don’t take it seriously

Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3. AC is 7x- 6. What is
AB?

Answers

A line is a one-dimensional shape that is straight, has no thickness. The length of the sides AB is 13 units.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3, and AC is 7x- 6. Since the three points are collinear therefore, the sum of AB and BC will be equal to AC. Therefore, we can write,

AB + BC = AC

4x - 3 + 2x + 1 = 7x - 6

6x - 2 = 7x - 6

-2 + 6 = 7x - 6x

4 = x

Now, since the value of x is 4, the measurement of AB is,

AB = 4x - 3 = 4(4) - 3 = 16 - 3 = 13 units

Hence, the length of the sides AB is 13 units.

Learn more about Line:

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Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
|x − 1| = |3x + 8|

Answers

Answer:

ndwiqnubuyohaiuhdiupas

I GOT A BLEEE

Step-by-step explanation:

Answer:

- 9/2 , - 7/4

Step-by-step explanation:

You can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps. and it is free.

PLEASE HELP!!!

WILL MARK BRAINLIEST!!!

Solve for x.

MULTIPLE CHOICE!

THANK YOU!

Answers

Answer: 3 I think

Step-by-step explanation:

You have been assigned to conduct a survey of college and career intentions of high school students at a local high school. You need to start by drawing a simple random sample of 40 students. Which of the following is most likely to produce a simple random sample?

a. Select the first 40 students to enter the library.
b. Select every 10th student entering the school cafeteria until 40 students are selected.
c. Select 40 students at random (by using software) from the official school roster.
d. Select 10 each of first-year, second-year, third-year, and fourth-year students.
e. Select the first 40 students to arrive at school in the morning

Answers

Answer:

Textbook Solutions

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mathstatistics and probabilitystatistics and probability questions and answersProblem 9 You Have Been Assigned To Conduct A Survey Of College And Career Intentions Of High ...

Question: Problem 9 You Have Been Assigned To Conduct A Survey Of College And Career Intentions Of High School Students At A Local High School. You Need To Start By Drawing A Simple Random Sample Of 40 Students. Which Of The Following Is Most Likely To Produce A Simple Random Sample? Select The First 40 Students To Enter The Library Select Every 10th Student ...

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Problem 9 You have been assigned to conduct a survey of college and career intentions of high school students at a local high

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Step-by-step explanation:

Find ƒ–1 for the function ƒ(x) = (x – 10)3 + 4.

Answers

Answer:

x=-69/7

Step-by-step explanation:

f (-1) f (x)=(x-10) 3+4

-1=(x-10) 3+4

-1=(x-10) 7

You will multiply 7 by (x-10)

-1=7x-70

Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x

-7x=-70+1

-7x=-69

So you will divide both sides by-7

-7x/7=-69/7

x=-69/7

Module 07: Project Option 1
Instructions
First, you need to come up with an activity. If you are having trouble thinking of what to do, here are some ideas:
• How many jumping jacks can you do in a minute?
• How many times can you write your full address in a minute?
• How many points can you score in a game in three minutes?
• How many pages of a book can you read in four minutes?
• How far can you walk in five minutes?
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Now that you have decided what your activity is going to be, it’s time to get started.

Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
2. How long did you spend doing your activity?
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
4. Which of these variables is your dependent variable?
5. Which one is the independent variable?
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

(Questions 1 to 3 are worth 1 point each; questions 4 to 6 are worth 2 points each.)
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)
0 0
1
2
3
4
5

Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

Follow-up questions

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
8. How long would it take you to reach 100 for the number of times you did your activity?
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

Answers

Answer:

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means [tex]\dfrac{100}{5} = 20 \text{ per minute}[/tex]

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time [tex]x[/tex], given the time in minutes, we can write the function

[tex]y = f(x)=20x[/tex]

Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

[tex]g(x) = 24x[/tex]

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

[tex]y = f(x)=20x, \forall x \in\mathbb{Z}_{\geq 0}[/tex]

[tex]y: \text{number of suburis}[/tex]

[tex]x: \text{time}[/tex]

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For [tex]x=12[/tex]: [tex]y = f(12)=20\cdot 12 = 240[/tex]

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

A.______number on the right of zero has an opposite on the left of zero.

B.________ is neither positive nor negative.

C. Integers are______
and negative numbers.

D. A number line is used to represent____

E. Numbers greater than zero are called ______

F. Numbers smaller than zero are called______


please help me guys​

Answers

Answer:

1.  A positive

2. 0/zero

3- Positive

4- Positive and negative numbers

5- Positive numbers

I'm not too sure but I hope this helps.. you can wait for another answer to be sure

Can someone please help? U get points just from typing and I would really appreciate it.


The sum of two consecutive numbers is 131. What are the two numbers?
A. 64 and 65
B. 64 and 67
C. 65 and 66
D. 130 and 131


No links or fake answers pls. Thank you for understanding.

Answers

Answer:

C

Step-by-step explanation:

Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.

Answer:

C. 65 and 66

Step-by-step explanation:

Let x be first number

Then x + 1 be next number

x + (x + 1) = 131

2x + 1 = 131

2x = 130

x = 65

x + 1 = 66

I NEED HELP ASAP ⚠️⚠️
If 1 is a solution to g(x) = 0, what is the other solution?

Answers

9514 1404 393

Answer:

  A.  -1

Step-by-step explanation:

The table shows that g(x) = 0 for x = -1.  (third row)

The other solution is x = -1.

If d(4)=68. Thus, joe travels 68 mi in 4 hours. How many mi does Joe travel in 45 min

Answers

Answer:

12.75 miles

Step-by-step explanation:

Changing hours to minutes

4 hours 4*60 = 240 minutes

Now we can use a ratio to solve

68 miles            x miles

-------------    = -----------------

240 minutes        45 minutes

Using cross products

68*45 = 240x

Divide each side by 240

68*45 /240 = x

12.75 miles

Answer:

12.75 MILES

Step-by-step explanation:

if he travels 68 miles in 4 we should find how many miles per hour

to find this we divide 68/4 which is 17

So if he is going 17 MPH then to find how far he travels in 45 min we should multiply by 3/4

17 x 3/4 is 12.75

12.75 MILES

What is the volume of this rectangular prism? All dimensions are in centimeters.



40 cm3
80 cm3
22 cm3
11 cm3

Answers

Answer:

Volume = 40

Step-by-step explanation:

Formula for Volume: Volume = w*h*l

Plug in the values: Volume = 5*4*2

Volume = 40

What is 3/x - 2/x = 1/5​

Answers

Answer:

x=5

Step-by-step explanation:

See image below:)

What did she do wrong??

Answers

Answer:

She did nothing wrong

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please help me find the area These blood vessels carry waste products, such as carbon dioxide to the heartA)ArteryB)VeinC)CapillaryD)Plasma g you hang an object of mass m on a spring with spring constant k and find that it has a period of T. If you change the spring to one that has a spring constant of 2 k, the new period is Find the equation of the line that is parallel to the liney= -2x - 8 and passes through the point (7,0). Write theequation in slope-intercept form. 44 : 20 is equivalent to __ : 520 : 15 is equivalent to 4 : __5 : 2 is equivalent to __ : 8 The domain of this function is (-12, -6, 3, 15). y =-2/3x +7 Complete the table based on the given domain. (Table in Picture)(PLEASE HELPP))) A candle is 6 tall after burning for one hour. After 3 h, it is 5. 5 tall. Write a linear equation to model the hh () of the candle after burning () h. solve for this square. can anyone help meewith summary of this text i will give brainliest uhelp plz asap Which sentence must be revised to eliminate a split infinitive?Jacob went to band practice and came home with a sunburn.Lucas makes it a habit to only watch the stunts the skateboarders did.Emily loves to noisily and cheerfully make breakfast for her family each day.Samuel needs to regularly organize the papers and folders in his school bag. Solve the system of equations given below. (Please--help..) Who is the last European dictator? may I please have help from anyone thank you so much ! Increasing the surfactant concentration above the critical micellar concentrationwill result in: Select one:1.An increase in surface tension2. A decrease in surface tension3. No change in surface tension 4.None of the above Which is an equation of a circle with center (2,7) and radius 4?(x - 2)2 + (y - 7)2 = 4Part(x - 7)2 + (y - 2)2 = 165. Part(x + 2)2 + (y + 7)2 = 4d(x - 2)2 + (y - 7)2 = 16 find the value of k for which the equation 3x square-6x+k=0 has district real root Advertisements for the Sylph Physical Fitness Center claim that completion of their course will result in a loss of weight (measured in pounds). A random sample of 8 recent students revealed the following body weights before and after completion of SPF course.Student 1 2 3 4 5 6 7 8 Before 155 228 141 162 211 185 164 172 After 154 207 147 157 196 180 150 165 The above data summarizes to the following (Note that "Difference = Before - After"). Mean Std Dev Before 177.25 29.325 After 169.50 22.431 Difference 7.75 8.598 Construct a 90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population. When writing an effective argument, it is important to ? A)address the counterclaims right away to weaken their effectB)ignore refuting evidence against your claimC) develop complex reasons to avoid addressing the claimD)change your claim statement in the middle to reinforce a counterclaim Gizmo Inc. purchased a one-year insurance policy on October 1 for $5,280. The adjusting entry on December 31 would be: (If an amount box does not require an entry, leave it blank.) What is the total area of the garden?