pleasee fast help me pleaseeeeeeeeee

In a class, one third of the students like badminton, three-fourth of the students like football, 5 out of 6 of
the students like volleyball, 60 like football and volleyball, 65 like volleyball and badminton,
17 like badminton and football, 20% of the students like all three games and 8 students don't like any
game. Draw a Venn-diagram and find the total number of students in the class.

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Let B represent those that like badminton, F represent those that like football and V represent those that like volleyball. Let x represent the total number of people.

n(B) = (1/3)x, n(F) = (3/4)x, n(V) = (5/6)x

n(B∩F∩V) = 20% of x = 0.2x

n(B∩F) = 17, hence n(B∩F∩V') = 17 - 0.2x

n(V∩F) = 60, hence n(B'∩F∩V) = 60 - 0.2x

n(B∩V) = 65, hence n(B∩F'∩V) = 65 - 0.2x

n(B∪F∪V)' = 8

n(B∩F'∩V') = (1/3)x - 0.2x - (17 - 0.2x) - (65 - 0.2x) = 0.533x - 82

n(B'∩F∩V') = (3/4)x - 0.2x - (17 - 0.2x) - (60 - 0.2x) = 0.95x - 77

n(B'∩F'∩V) = (5/6)x - 0.2x - (60 - 0.2x) - (65 - 0.2x) = 1.033x - 125

Therefore:

x = n(B∩F'∩V') + n(B'∩F∩V') + n(B'∩F'∩V) + n(B∩F∩V) + n(B∩F∩V') + n(B'∩F∩V) + n(B∩F'∩V) + n(B∪F∪V)'

x = (0.533x - 82) + (0.95x - 77) + (1.033x - 125) + (0.2x) + (17 - 0.2x) + (60 - 0.2x) + (65 - 0.2x) + 8

x = 2.1166x - 134

1.1166x = 134

x = 120

Therefore there was 120 students


Related Questions

PLEASE HELP ME !!¶∆¶

Find the ratio of the given Sin A.​

Answers

Answer:

5/13 ft

Step-by-step explanation:

If you remember that Sin is opposite over hypotenuse then the opposite of angle A is 5 and the hypotenuse is  13 so it would equal 5/13.

the five classes at steam elementary are going to the zoo. the teacher need to put the students in group of tens the number of students in each class is shown​

Answers

there will be 13 groups with 4 leftover

Step-by-step explanation:

1)Add all the elementary learners

2) devide the answer you get from step 1 by 10.

3)the whole number will be number of learners in each group and the remainder will be the remaining learners

Write the equation x+5y=5 in slope intercept form.

Answers

Answer:

y=-1/5+1

(negative one over 5)

Step-by-step explanation:

Can someone help me on this?

Answers

Answer:

b^-6+11

b^5

Step-by-step explanation:

answer to your question is b^5

HELP ME [QUESTION IN IMAGE]

Answers

C, I hope this helped!

If 4x - 8 = 4 , find the value of x​

Answers

Answer:

x=3

Step-by-step explanation:

4x-8=4

4x=12

4x/4=12/4

x=3

Answer:

x = 3

Step-by-step explanation:

Add 8 to both sides.

4x = 4 + 8

Simplify 4 + 8 to 12.

4x = 12

Divide both sides by 4.

x = 12 ÷ 4

Simplify 12 ÷ 4 to 3

x = 3

can someone please help​

Answers

About what you dont write anything

Answer:

for A

the law

V=Bh or V=πr2h

I will use this V=Bh

V= 16·21

V= 336cm³

For E

the law

A= 1/2·(A + B)·H

A= 1/2·(14 + 8)·4

A= 44cm²

V= A·H

V= 44·4

V= 176 cm³

make a search for each one :

B. triangular prism volume calculator

C. pyramid prism volume calculator

D. rectangular prism volume calculator

F. cube volume calculator

CAN SOMEONE HELP ME WITH THESE 2 questions please don’t answer if u don’t know !! Will mark u brainlist and will give u points !!!! It’s due in like 30 minutes!!!

Answers

Answer:

right side up

Step-by-step explanation:

2 questions  

Answer:

1) 25.12

2) ((4/3)*π*r^3)/2

Step-by-step explanation:

1) formula of the volume of a cylinder is: r^2 * π * h = 2/1 * π * 8 = 25.12

2) diameter = side of the square = 2r

so the radius is r

finally formula of the volume of a hemisphere: ((4/3)*π*r^3)/2

PLEASE GIVE BRAINLIEST

The length of a rectangle is 10x² – 13x - 3 / 4x + 3 and the width is 4x² + 11x + 6 / 2x - 3 inches. Find the area of the rectangle.​

Answers

Answer:

use this formula ot find area of rectangl 2l +2w

HELP ME PLEASE


Explain to Raven what she did correctly in the first two problems that she did not do in the last problem, and how to correct her mistake

Answers

Answer:

She changed the symbols in the first two problems because they were divided by a negative number whereas she shouldn't have changed the symbol in the last problem as it was not divided by a negative number and so the sign remains the same.

Can someone help me out, I will give out brainly.

Answers

Answer:

370

Step-by-step explanation:

Area of the entire thing is 20*20 = 400

You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)

Area of triangle:

First find the height using pythagorean theorem

5*12 = 156

Then divide by two: 60/2= 30

400-30 = 370

Find the HCF of 12 and 16 ​

Answers

Answer:

4  Hope that helped

The answer is four please tell me if this helped

4x+2y=−14 y=−2x−6
Solve the system of linear equations:

Answers

Answer:

no solution

Step-by-step explanation:

solve by elemination

Answer:

No solutions

Step-by-step explanation:

4x+2y=−14

4x + 2(-2x - 6) = -14

4x -4x - 12 = -14

0x - 12 = -14

x = 0

y = 2(0) - 6

= 0 - 6

= -6

what do u add to 5 5/8 to make 9 ?

Answers

Answer:

5+5=9and mark me as brainlestttt

Answer:

27/8

Step-by-step explanation:

9 - 5 5/8 = 27/8

HELP ME . Help me please

Answers

Answer:

Top right corner

Step-by-step explanation:

Use inequalities symbols to order the numbers -7,7, 1 and -1 from least to greatest.

please hurry i need to pass this class

who ever answers this i will give u 100 points

Answers

If we are ordering these from least to greatest, it would be as follows:

-7, -1, 1, 7

Remember that the 'smaller' negative numbers are those that are further away from 0.

Then, if we need to add inequality signs, it would be as follows:

-7 < -1 < 1 < 7

Basically, we are saying that -7 is less than -1, which is less than 1, which is less than 7.

Hope this helps!! :)

hope this helps! feel free to clarify

someone help me it's due today

Answers

Answer:

y=2x+6

Step-by-step explanation:

y=2x+6 you are welcome!!

Can someone please tell me the answer and explain how to do this, no links please thank you

Answers

If this is work out the gradient then here:

Step-by-step explanation:

3-0= 3

2-(-2)= 4

3/4= 0.75

Equation of a gradient is [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Can you help me with this

Answers

Answer:

3 and 4

Step-by-step explanation:


Which is closest to the height of the building?
(Round to nearest tenth

Answers

Answer:

[tex]let \: it \: be \: x \\ \cos(70 \degree) = \frac{12}{x} \\ x = \frac{12}{ \cos(70 \degree) } \\ x = 35.1 \: ft[/tex]

[tex]height = \sqrt{ {35.1}^{2} - {12}^{2} } \\ = \sqrt{1088.01} \\ = 33.0 \: ft[/tex]

give me answer please v​

Answers

Answer:

99999

Step-by-step explanation:

To find : The Greatest 5 digit number exactly divisible by 9,12,15,18 and 24? Solution : The greatest 5-digit number is 99999.

IT'S VERY HARD QUESTION I SOLVED FOR YOU PLEASE GIVE A ❤ AND MARK ME A BRAINLIST. PLEASE

what is the speed of a bus that travels 350km in 5 hours

Answers

Answer:

We need to make it a unit rate.

350/5

70/1

70km per 1 hour

Answer:

70km

Step-by-step explanation:

350÷5 =70

The shoes you want to buy are on sale for 25% off the original price is $75 what is the sale price of the shoes

Answers

Answer:   $56.25

Step-by-step explanation:

25  as a decimal is 0.25

So you multiply  0.25  * 75 = 18.75

75 - 18.75 = 56.25

The sale price  of the shoe is  $56.25.

1.

For which value of x is the row in the table of values incorrect? The function is the quadratic function y = 5x2.


A. x = 3

B. x = 2

C. x = 0

D. x = 5

Answers

Answer:

A. x = 3

Step-by-step explanation:

0 times 5 = 0

2 times 5 = 10

3 times 5 = 15 then its 75

5 times 5 = 25 then its 125

it never equals to 45 for 3

you have to do it to the power of 2 for 3 and 5

hELP help help help help​

Answers

Answer:

the answer is not here

Step-by-step explanation:

because for it to 5 decimal place there need to be 5 numbers after the point

Emily earns $15 for each car she washes. Create an equation to represent the relationship between the numbers of cars washed c, and the amount, in dollars,Emily earns,m. HELP!!

Answers

Answer:Im not sure but btw the state test just is on how your teacher teach you and the school if u do bad it affects the school but don’t purposely not try this is what i put for the answer

Step-by-step explanation:10c 15m hopw it helps!

Can someone explain how to do this? I keep getting it wrong

Answers

Answer:

Step-by-step explanation:

in order to find the measurements of all the angles you must find x and to find x you have to realize that the total sum of a triangle inner angles is 180 so you add all those together (48+x+x-44=180) and then if you solve that it gives you 2x+4=180 and then simplify 2x=176 and then x=88

then you plug x into the angles in order to find out the actual measurements

so a is obviously 48 but then b is equal to x which isequal to 88

and then for c it will be x-44 so its 88-44 which equals 44 and that is your answer

if you want to double check take all of your answers and see if they add up to 180

What is the sum of the interior angles of the polygon shown below?

Answers

Answer:

540°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

The answer would be 540 if it’s correct let me know!

Roll needs to make a sauce mixture of 2/5 sand and 2/5 of clay and one for Pete Mas to put his plants yes 75 pounds of sand how many total pounds of soil rather have it he adds clay and Pete Moss to the sand to make the correction mixture

Answers

Answer:

187.5 pounds

Step-by-step explanation:

Fraction of sand = 2/5

Fraction of clay = 2/5

Fraction of peat = 1/5

Pounds of sand = 75

The total pounds of soil required to make Correct mixture : let that be x

Hence,

Using the sand Fraction and pounds which we know :

2/5 of x = 75

2x / 5 = 75

Cross multiply :

2x = 75 * 5

2x = 375

x = 375 / 2

x = 187.5

Required pond of sand =187.5 pounds

If−3x − 7 = 23, then 6x =_____?

Answers

Answer:

22

Step-by-step explanation:

We will first find the value of x .

Then we will multiply 6 to the value of x

Other Questions
What are the solutions to the equation x + 16x + 14 = 0? Vegetarians tend to have a lower risk of heart disease than other people a higher risk of diabetes than other people too much calcium in their diet a lower body mass index than other people whats the answer. ill make this 20 pts Brooke has finished the first three chapters of a new book. There are 28 pages in the first chapter, 33 pages in the second, and 18 pages in the third. Brooke works out that she has read 79 pages. Does that sound about right? Maya and Zack built the tent below in their backyard how much material did they use to build the tent Which of the following is a CAM profession?O A. Yoga instructorB. PoliticianC. Hair stylistD. Dancer pls pls pls helppp!! I NEED SOMEONE WHO IS A PRO AT COMPUTER SCIENCE CODING LIKE PYTHON AND STUFF TO CREATE A ZOOM AND HELP ME WITH SOMETHING!! :))) PLEASEEE A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk? Two people that have identical weight are holding onto a massless pole while standing on horizontal frictionless ice. 1)If the guy on the left starts to pull on the pole, where do they meet 26. What is the approximate length of RS 718 inS21 inRA. 9.5 inB. 10.8 InC 12.1 InD. 12.8 In PLZZZZZZZZZZZZ help I was up all night finishing homework so can someone please help me answer this one question plz and thank you:). Find the circumference of the given circle given a diameter of 40 cm.Use 3.14 as an approximation of Pi. Help !Which of the following functions are linear?Function A Function b Function a and b Or none of the above James Ryan has been a Budweiser Beer distributor for the past 20 years. James owns a ________ franchise. Estadstica: Luego de entrevistar a diez de los pasajeros que viajaba en el bus que choc intempestivamente contra un poste, se concluy que el chofer era inocente. Identifica la poblacin, la muestra, variable y el tipo de variable. Rebeccas service charge at a beauty salon was $93.60, before tax. The sales tax rate was 8%. If she added 20% of the amount before tax as a tip, how much did she pay for the whole service at the salon? What is the quotient of Two-thirds and StartFraction 2 Over 9 EndFraction? Your high school transcript will include each of these items EXCEPT... The name of your schoolYour GPA calculated with all of the courses youve taken so farA list of your test and quiz grades in each courseThe courses youve taken and when you took them please help and all you can 1 to 9 How many moles are 4.20 * 10 ^ 25 atoms of Ca?