The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 12 B, and 48 C. Show the frequency and relative frequency distributions.

Answers

Answer 1

Answer:

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

Step-by-step explanation:

Given that;

the frequencies of there alternatives are;

Frequency A = 60

Frequency B = 12

Frequency C = 48

Total = 60 + 12 + 48 = 120

Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;

Relative Frequency A = Frequency A / total = 60 / 120 = 0.5

Relative Frequency B = Frequency B / total = 12 / 120 = 0.1

Relative Frequency C = Frequency C / total = 48 / 120 = 0.4

therefore;

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1


Related Questions

Match the following words to the correct definition:
_____ translation ______ rotation ______reflection _____dilation

A. Flip B. Enlarge/reduce C. Turn D. Slide

Answers

Answer:

A. Flip ---> reflection

B. Enlarge/reduce ---> dilation

C. Turn ----> rotation

D. Slide ----> translation

Step-by-step explanation:

D and translation

A and reflection

C and rotation

B and dilation

it just makes sense.

dilation means like if you stung by a bee and it starts to swell but it can also be used as a way to say something shrunk.

reflection means yourself flipped

rotation means like your turning around or turning something around

i don't know if translation has anything to do with slide but it was the last option and all the others make sense.

 4 ÷ 0.2= ??? what is it?​

Answers

Answer:

20

Step-by-step explanation:

Please help!

What the values of the expression?

A. 3
B. 12
C. 27
D.81

Answers

Answer:

D. 81

Step-by-step explanation:

I am in the same class as you, I took the quiz and the answer was 81

i think it’s 12 but correct me if i’m wrong

FREE BRAINLIEST
Write an equation in point slope form for the line that passes through each point with the given slope.
(1,4), m=6

Answers

Answer:

y = 6x -2

Step-by-step explanation:

Answer:

y = 6x - 2

Step-by-step explanation:

pass (1,4)

y = mx + b

b = y - mx = 4 - 6 x 1 = -2

y = 6x - 2

The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE​

Answers

Answer:

y=x+2

Step-by-step explanation:

we know the slopes have to be equal because the lines are parallel, so the slope is 1, or written as x. plug the point given, (-6,-4), and the slope, 1, into the y=mx+b equation to find the y-intercept. then solve. then put the slope and y-intercept together for the equation of line h.

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

Determine any data values that are missing from the table, assuming that the data represent a linear function.


a. 5
b. 9
c. 13
d. 11

Please select the best answer from the choices provided ​

Answers

D might be the right answer because you can multiply the values by 2 and add 7 to them and they all would equal so therefore, 11 is the correct answer.

Suppose that populations of men and women have the following summary statistics for their heights (in
centimeters):
Mean
Standard deviation
Men
HM = 172
M = 7.2
Women
Uw = 162
ow = 5.4
Both distributions are approximately normal. Suppose we randomly select a man and a woman from each
population, and calculate the difference between their heights. We can assume that their heights are
independent
Find the probability that the woman is taller than the man
You may round your answer to two decimal places
IN
P woman taller

Answers

Answer:

.13

Step-by-step explanation:

172-162 = 10  

 

We can find the standard deviation of D by adding the variances of the heights and taking the square root:

σ  

D

2

​  

 

σ  

D

2

​  

 

σ  

D

​  

 

​  

 

=σ  

M

2

​  

+σ  

W

2

​  

 

=7.2  

2

+5.4  

2

 

square root of 81

=9

​  

Representing probability with area

When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:

A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.

normalcdf:

lower bound: −9999

upper bound: 0

μ=10

σ=9

​  

Using subtraction of normal variables, it is found that there is a 0.1335 = 13.35% probability that the woman is taller than the man.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. When two measures are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the variances.

In this problem:

Men have mean weight of 172 cm, women of 162 cm, hence, for the distribution of the differences, the mean is [tex]\mu = 162 - 172 = -10[/tex].The standard deviation is the square root of the sum of the variances, hence [tex]\sigma = \sqrt{7.2^2 + 5.4^2} = 9[/tex]

The probability of the women being taller is P(X > 0), which is 1 subtracted by the p-value of Z when X = 0.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-10)}{9}[/tex]

[tex]Z = 1.11[/tex]

[tex]Z = 1.11[/tex] has a p-value of 0.8665.

1 - 0.8665 = 0.1335

0.1335 = 13.35% probability that the woman is taller than the man.

A similar problem is given at https://brainly.com/question/22934264

Allan writes down n positive integers so that the sum of those numbers is 23. When he multiples those numbers, he gets the maximum result. List all of the n positive integers that Allan has written.​

Answers

Answer:

3, 3, 3, 3, 3, 3, 3, 2

Step-by-step explanation:

To get maximum product we need to optimize how we break down the numbers

Its obvious we don't want number 1 to be used as it won't change the product

Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10

What is best number?

2 and 3 are the smallest, 4 can be written as two 2's5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 56 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 67 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater product

So the best is to break the number down to 2's and 3's

23 = 2*10 + 3 ⇒ 2^10*3 = 307223 = 3*7 + 2 ⇒ 3^7*2 = 4374

As we see the maximum product we can get is 4374 with seven 3's and one 2.

Hence the numbers are:

3, 3, 3, 3, 3, 3, 3, 2

Answer:

your answer should be     3, 3, 3, 3, 3, 3, 3, 2

Help help please !!!!!!

Answers

Answer:

maybe Add to eliminate y because signs are different

Look at this please i dont need help im just trying to tell everybody something

Answers

Answer:

ok

Step-by-step explanation:

Hi Im giving brainlest whoever answer this correctly

Answers

Step-by-step explanation:

1.

36

2×18

2×9

3×3 therefore prime factorization is 2²×3²

2.

42

2×21

3×7 therefore prime factorization is 2×3×7

3.

48

3×16

2×8

2×4

2×2 therefore prime factorization is 2⁴×3

4.

27

3×9

3×9 therefore prime factorization is 3³

This table represents a proportional relationship. Use the table to identify the constant of proportionality between the ratio of the number of laps to the number of swimmers.
The constant of proportionality is ___​

Answers

Answer:

12

Step-by-step explanation:

We all hate school

Answer:

The answer that you're looking for is 12

Step-by-step explanation:

The equation m=40g gives the distance in miles, m, that a car can travel using g gallons of gas

a. If the car has gone 140 miles, how much gas was used

B. Write an equation the represents the inverse function

Answers

Answer:

3.5 gallons

Step-by-step explanation:

140=40g

140/40=g

a) The car used 3.5 gallons of gas

b) The inverse function is g=m/40

What is an inverse function?

In mathematics, an inverse is a function that serves to “undo” another function. That is, if f(x) produces y, then putting y into the inverse of f(x) produces the output. A function that has an inverse is called invertible and the inverse is denoted by f⁻¹

Given here, distance = 140 and  equation m=40g  then using the equation we get

140 = 40 ×g

g= 3.5 gallons

and the inverse function is given by g = m/40

Hence the car uses 3.5 gallons and we found the inverse function is g=40/m

Learn more about the inverse function here:

https://brainly.com/question/2541698

#SPJ2

PLEASE help me. thank you

Answers

Answer:

Each paper weight is half a pound

Step-by-step explanation:

What value of n makes the equation true?

Answers

Answer:

-0.7

Step-by-step explanation:

First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.

Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?




10 ÷ 40​​

40⋅10 ​

40 + 10​​

40 ÷​ 10​ PLEASE HELP ASAP

Answers

40 • 10 i believe is the answer

Simplify:1/5 + (-2/3)?

Answers

Answer:

SOOOOOO

Step-by-step explanation:

YOU MAKE  IT 1/5 + -2/3

INTOOO

3/15+-10/15

THENNNN

YOU ADD THEMMM

AND UU GETTTT

-7/15

SOOO THAT UR ANSWER ITSS A THE FIRST ONE

-7/15

Write an equation for the line that passes through the points (0,6) and (3,0).

y=-23-6

y=-22-3

y=- 4-6

y=-22-3

Answers

Answer:

y=-2x+6

Step-by-step explanation:

Based on the graph, if Joe earned $400, how many hours did he work?

Answers

About 45 to 46 hours
45 or 46 hours most likely in between.

a triangle has a base of 8 feet and a height of 6 feet. Ben says that the area of the triangle is 48 square feet. explain what Ben's mistake was. rhen show how to get the correct answers

Answers

in order to find the area of a triangle, you do base X height divided by two. Bens mistake was not dividing my two.

helppppp please I'm stuck​

Answers

the correct answer would be 2 because that’s what it leads to. i did it for a few days but i didn’t have any of them to go to the

Answer:

10/5= 2

I hope this helps:

What is the value of x?
Enter your answer in the box.
x =

Answers

Answer:

x +2 = 62 (set them equal to each other and then solve for x.)

x = 60 (this is your answer)

PLEASE HELP MEEEEEEE

Answers

Answer:

the thing is black for me.. pls retake

Step-by-step explanation:

3. 3=2(1)+1. 4. 5= -1/5(3)+5.6

20 POINT!!!!!!!11PLEASE HELP!!!!!

A sphere is a three-dimensional geometric figure, hollow or solid, contained by a continuously round surface that is equidistant from its center. The maximum capacity of a sphere is calculated with the formula, where V = volume, and r = radius. For a sphere with a maximum capacity of 1,372pi/3 cubic millimeters, the diameter measures millimeters.

Answers

Answer:

14 millimeters

Step-by-step explanation:

V=(4/3)πr³

1372π(1/3)=(4/3)πr³

1372=4r³        (cancel out the pi and multiply both sides by 3)

r³=343

r=7

Diameter is twice the radius = 2(7) = 14

What the person above me said

The length of a rectangle is 7/10 feet and it's width is 1/5 feet. What is it's perimeter?​

Answers

Answer:

9/5 feet if they want an improper fraction

Step-by-step explanation:

p = 2l + 2w

2(7/10) = 14/10

rewrite 1/5 as 2/10

2(2/10) = 4/10

14/10 + 4/10 = 18/10 feet or simplified to 9/5 feet if they want an improper fraction

A rectangular water tank is 80 m long, 50 m wide and 60 m height. If the
depth of water in the tank is 45 m, find the volume of water required to
completely fill the tank?*

A)240,000cm3
B)60,000cm3
C)180,000cm3
D)120,000cm3

Answers

Answer: 2

Step-by-step explanation:

80 x 50 x 60 is volume of tank

240000

Water is already filled to 45 so volume up to that is

80x 50 x 45 = 180000

Subtract to find the difference needed to fill tank

240000 - 180000 = 60000

The volume of water to completely fill the tank is A) 240,000cm³.

What is volume?

Volume is defined as the amount of three-dimensional space occupied by some close object.

We know the volume of a cuboid is (Height×Width×Length).

Given a rectangular water tank is 80m long, 50m wide and 60m in height and the depth of the water is 45m.

To obtain the volume of water we have to take 45m as the height or we can think of the height of the tank is 60m but water can only be filled up to 45m.

∴ The volume of the water is (80×50×45) m³.

= 180,000 m³.

Learn more about volume here :

https://brainly.com/question/1578538

#SPJ2

please hrlp....??????​

Answers

Answer:

147

Step-by-step explanation:

180-33=147

If I had 20 dollars every other week for a year how much would I have

Answers

You’d have 520 Dollars

Consider the inequality x + 7 < 9. Select all the true statements.​

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

x + 7 < 9  equation

step 2

x + 7 < 9  subtract -7

x+7(-7)<9(-7)

answer

x<2

A serving size of oreo cookies is 3 cookies which is 20% of a box of cookies come ina a box

Answers

Ok? Whats the rest of the question lol

Answer:

tell us the rest of the questionnnnnnn

Step-by-step explanation:

Other Questions
Any one freeInboX me () Moraines left by glaciers are different from deposits left by rivers because the rocks left behind are _____. What specific challenges did Floridians face during the Great Depression? What is X 2(x+5)=3x+1 Can someone please help! Its just Area so it should be pretty simple but I am stuck please help! is the united states a constitutional republic true or false HELPPP PLEASE!How do volunteers help the national weather service monitor weather across the state? An object has a mass of 20 kg and is placed 2 m above the ground. What is its gravitational potential energy? (PEg) 3u - 10 =23Simplify your answer as much as possible. A rectangular prism has a length of iom, a height of 2m, and a width of 5m. What isits volume, in cubic m? The major was a little man with upturned mustaches. He had been in the war in Libya and wore two wound-stripes. He said that if the thing went well he would see that I was decorated. I said I hoped it would go well but that he was too kind. I asked him if there was a big dugout where the drivers could stay and he sent a soldier to show me. I went with him and found the dugout, which was very good. The drivers were pleased with it and I left them there.A Farewell to Arms, Ernest Hemingway Describe the novels style by completing the following statements The diction is: The syntax is: The style is: feedback, or giving your writing to someone else to look at, is part of:A. prewriting.B. the writing process. C. The parts speech.D. math class. What was the Georgia Platform? How do you convert y-15= 50(x-3) to slope-intercept form? When the concentration of molecules are the SAME on both sides of the cellmembrane, the solution is *A. HypertonicB. In equilibriumC. HypotonicD. Kinetic look around you and observe the things you see the trees, flowers, and even clouds in the sky. Describe your surrounding using basic knowledge about the art elements. William is throughout ever ready, but never hastyalways willing to wait when waiting seems the best policyalways ready to accept a nominal success when there is a chance of turning it into a real one, but never accepting nominal success as a cover for defeat, never losing an inch of ground without at once taking measures to recover it. By this means, he has in the former part of 1068 extended his dominion to the Land's End; before the end of the year he extends it to the Tees. In the next year he has indeed to win it back again; but he does win it back and more also. William is. A) resolute B) anxious C)popular D) ruthless A hot air balloon is rising vertically. From a point on level ground 110 feet from the point directly under the passenger compartment, the angle of elevation to the balloon changes from 25 degrees to 32 degrees. How far, the nearest tenth, does the balloon rise during this period hii guys helpif you can how do I work this out