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

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

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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.

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Answers

Answer:

3 and 4

Step-by-step explanation:

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Answers

Answer:

y=2x+6

Step-by-step explanation:

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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

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sum = 180° × 3 = 540°

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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 :

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C. pyramid prism volume calculator

D. rectangular prism volume calculator

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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]

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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

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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.

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

Answers

Answer:

y=-1/5+1

(negative one over 5)

Step-by-step explanation:

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Answers

Answer:

b^-6+11

b^5

Step-by-step explanation:

answer to your question is b^5

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Answers

Answer:

Top right corner

Step-by-step explanation:

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

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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 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

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

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Answers

C, I hope this helped!

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

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

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x = 12 ÷ 4

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Answers

Answer:

22

Step-by-step explanation:

We will first find the value of x .

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Answers

If this is work out the gradient then here:

Step-by-step explanation:

3-0= 3

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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

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Answers

Answer:

right side up

Step-by-step explanation:

2 questions  

Answer:

1) 25.12

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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

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Answers

Answer:

370

Step-by-step explanation:

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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

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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.

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Answers

Answer:

4  Hope that helped

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Answers

Answer:

5+5=9and mark me as brainlestttt

Answer:

27/8

Step-by-step explanation:

9 - 5 5/8 = 27/8

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Answers

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

-7, -1, 1, 7

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Answers

Answer:

no solution

Step-by-step explanation:

solve by elemination

Answer:

No solutions

Step-by-step explanation:

4x+2y=−14

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Answers

Answer:   $56.25

Step-by-step explanation:

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