In a group of students, 30 played chess, 19 played volleyball, 25 played
basketball, 14 played both volleyball and chess, 8 played both baskethall
and volleyball, 15 played both basketball and chess and 5 played both
three events. How many played chess only, basketball only and volleyball
only? How many students are there in all?

Answers

Answer 1

Answer:

Explained below.

Step-by-step explanation:

Denote the events as follows:

C = chess

V = volleyball

B = basketball

The data provided is as follows:

n (C) = 30

n (V) = 19

n (B) = 25

n (C ∩ V) = 14

n (B ∩ V) = 8

n (B ∩ C) = 15

n (C ∩ V ∩ B) = 5

Consider the Venn diagram below.

The number of students who played only chess is marked in pink:

n (Only C) = 6

The number of students who played only volleyball is marked in blue:

n (Only V) = 2

The number of students who played only basketball is marked in orange:

n (Only B) = 7

The number of students who played all three is marked in grey:

n (C ∩ V ∩ B) = 5

In A Group Of Students, 30 Played Chess, 19 Played Volleyball, 25 Playedbasketball, 14 Played Both Volleyball

Related Questions

What is .82 written as a percent?
-8.2%
- 82%
-820% ANSWER QUICK PLS

Answers

Answer:

82

Step-by-step explanation:

get rid of dicemal

Answer: 82%

0.82 as a percent can be written as 82%. Just make 0.82 into an 82%.

0.82 as a fraction can be 82/100.

The answer to the question is 82%.

Hope this helps you!

Katrina drinks 0.5 gallons of water per say. Which expression shows how to find the number of cups of water she drinks in a week?

Answers

Answer:0.5 gallons per day.Two options only.First;How many liter does the gallon have use the litre to solve for how many litres.Convert it into one unit divide and multiply the product by 0.5.

2nd option; Find the number of cups by representing it in a variable.

Dave is making lemonade. For each 8 cups of water, he uses 3 cups of lemon juice and 2 cups of sugar. If w the number of cups of water, l is the number of cups of lemon juice, and s is the number of cups of sugar, which equations are correct?
Select all that apply
A. l=3/8w
B. l=3s
C. l=2/3s
D. w=2/8L
E. w=4s

Answers

Answer:

Can someone please help i picked C,A I really dont know so dont copy me someone please help us

Step-by-step explanation:

If the quotient of a number and 16 is added to 1/4 the result is 5/16

Answers

Answer:

if youre trying to find the number then the number is 1

Step-by-step explanation:

the equation would be x/16+1/4=5/16

well we want to make everything have the same denominator and 16 is the LCD ( least common denominator ) so you would multiply 1/4 by 4/4 to get 4/16.

this means x/16+4/16=5/16 and and 4+1=5 so 1 is the answer

The remainder after diving x^4+3x^3-8x^2+5x-9 by x+5 is ____.

Answers

Use the polynomial remainder theorem. It says that a polynomial [tex]f(x)[/tex] has remainder [tex]f(c)[/tex] upon division by [tex]x-c[/tex].

Here we have

[tex]f(x)=x^4+3x^3-8x^2+5x-9[/tex]

and [tex]c=-5[/tex], so the remainder is

[tex]f(-5)=(-5)^4+3(-5)^3-8(-5)^2+5(-5)-9=\boxed{16}[/tex]

Please help, very confused

Answers

Answer:

1.

-3x + 8y = -5

6x + 2y = -8

Set the equations to a common variable.

-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8

6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4

Set the equations equal to each other.

3/8x - 5/8 = -3x - 4

Combine like terms.

3x + 3/8x = -4 + 5/8

3.375x = -3.375

Divide by 3.375

x = -1

Plug x back in to find y.

-3x + 8y = -5

-3(-1) + 8y = -5

3 + 8y = -5

8y = -8

y = -1

answer: (-1, -1)

2.

3x + 2y = -16

-3x - 8y = 46

Set the equations to a common variable.

3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8

-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4

Set the equations equal to each other.

-3/2x - 8 = -3/8x - 23/4

Combine like terms.

-9/8x = 9/4

or

-1.125x = 2.25

Divide by -1.125

x = -2

Plug x back in to find y.

3(-2) + 2y = -16

-6 + 2y = -16

2y = -10

y = -5

answer: (-2, -5)

A student bought 11 pencils and a pad of paper.

The pencils each cost the same amount.
The pad of paper costs $4.99.
The student spent a total of $18.74, not including tax

Answers

Answer:

Each pencil costs $1.25

Step-by-step explanation:

$18.74 - 4.99=13.75

13.75/11=$1.25

You have to take the total amount and subtract how much the paper pad costs then you get 13.75 and that is how much the student paid for all 11 pencils so you divide it by 11 and you get $1.25

The data set represents the number of miles Mary jogged each day for the past nine days.

6, 7, 5, 0, 6, 12, 8, 6, 9

What is the outlier of the data?

0
6
7
12

Answers

Answer:

0

Step-by-step explanation:

It is the only number that isn't positive

The outlier of the data that represents the miles jogged by Mary each day for the past nine days is 0.

What is the outlier?

An outlier is a number that is very different from other data in a data set. It is either very big or way smaller than the other numbers.  

The outlier is 0. This is because it was the largest differnt from the second smallest number.

To learn more about outliers, please check: https://brainly.com/question/27197311

Pls help.
5.2 Determine the Base from a Portion

a. The grocery store makes a 20% profit on baked goods. The profit for
baked goods last month was $600. What was the total sales for baked
good last month?

Answers

3000

3000 multiplied by .2 equals 600

I need help on this ASAPPPPPPP

Answers

The answer to that question will be C


Each square in the periodic table contains the element's atomic number, chemical symbol, name, and atomic mass.
True or false?

Answers

Answer:

True...

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

!!!URGENT!!!

In order to ride a roller coaster, a person must be at a minimum height of 54 inches. The maximum height is 74 inches. Write an absolute value equation that represents the minimum and maximum heights.

The photo attached shows the possible answers.

Answers

Answer:

C

Step-by-step explanation:

Two equations and workout the answer

4 Mr Franklin paid 145.76 for 0 gallons or
gas What is the price of 1 gallon of gas?
A $5.00
$5 16
B 06 07
D$5.05

Answers

Answer:

That doesn't make sense

Step-by-step explanation:

Write the equation of the line fully simplified slope-intercept form.

HELP ME PLEASE

Answers

Answer:

y=-x+3

Step-by-step explanation:

The y-intercept is at 3 and you can see it has a slope of -1

The equation of line will be y = -x + 3.

It is given that in the graph, line is passing through some points at x-axis and y-axis.

We have to find the fully simplified intercept of the line.

What is the general equation of a line ?

The equation of a line is y = mx + c , where m is the slope of the line and c is a constant.

We have the x-intercept (3,0) and y-intercept (0,3) on the graph.

Slope of these line through these points will be ;

m = (y2-y1) / (x2-x1)

m= (3-0) / (0-3)

m= 3/-3

m= -1

Also , we will get the value of c = 3 .

The equation of line after putting the value of m and c will be ,

y = -x + 3

Thus, the equation of line is y = -x + 3

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Solve for the variable: x – 12 = 3

Answers

Answer:

x=15

Step-by-step explanation:

add the 12 to the other side

x-12=3

and you will get 15

x=15

Isabel bought a suit on sale for $561. This price was 34% less than the original price.
What was the original price?

Answers

Answer:

751.74

Step-by-step explanation:

561*.34=190.74

561+190.74=751.74

Answer

The suit being 27% less than the original also means he paid 73% of the original price (x). So,

0.73x=561

x=561/0.73

x=409.53

Original price was 409.53. Fancy suit. Step-by-step explanation:

there you go...

what is the length of AC?​

Answers

The answer to the question is 35.

The length of AC is 25, the reason is because you can see what the length is from A to B which is 13, then you see the length between B and C which is 22. When you combine the two lengths it should add up to 25.

Simplify the expression.
(5+i)(2-7i)

Answers

Answer:

17-33i

Step-by-step explanation:

Multiply using the foil method than combined the real and imaginary parts of the expression

whats the name of the fifth American president

Answers

Answer:

the fifth president name was James Monroe

Your grandmother gave you ₱1000 to start a college book fund. She also promised to add another ₱200 each month, if you add ₱50 monthly. Which rule generates a sequence of the monthly amounts in your college book fund? answer​

Answers

Answer:

A= ₱1000 + t( ₱250) ------where t is the time in months

Step-by-step explanation:

The principal amount ,P, is given as : ₱1000----- P=₱1000 ------equation (i)

Additional amounts to be added by grandmother = ₱200 monthly

Amount expected to add monthly =  ₱50

Additional amounts in total added monthly = ₱200 + ₱50=₱250

Monthly amounts ,A, in the fund after the first month, t =1 month will be:

A=P + ₱250= ₱1000 + 1( ₱250) ------where t= 1, amount at end of month 1

A=P +₱250= ₱1000 + 2( ₱250)--------where t=2,  amount at end of month 2

A=P +₱250= ₱1000 + 3( ₱250)---------where t=3, amount at end of month 3

A=P +₱250= ₱1000 + 4( ₱250)--------where t=4, amount at end of month 4

From the breakdown above of 4 months, the general equation of monthly amounts will be;

A= ₱1000 + t( ₱250) ------where t is the time in months

A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t) and this can be determined by forming the linear equation with the help of the given data.

Given :

Your grandmother gave you ₱1000 to start a college book fund. She also promised to add another ₱200 each month, if you add ₱50 monthly.

The following steps can be used to determine a sequence of the monthly amounts in your college book fund:

Step 1 - Given that the principal amount is ₱1000 which is given by the grandmother.

Step 2 - Additional amount is given by grandmother is ₱200 and each month ₱50 is added. So, the total additional amount each month is:

= 200 + 50

= ₱250

Step 3 - Let 't' be the number of months. So, the linear equation becomes:

A = 1000 + 250(t)

where A is the total amount and t is the time in months.

A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t)

For more information, refer to the link given below:

https://brainly.com/question/21835898

The gym charges a membership fee of $75 and a
monthly fee of $25. If you have budgeted $325 for a
membership, how many months are you able to
afford?
Answers:
: 10
:: 3
:: 15
:: 6

Answers

we be bakos thoes LOOK ET EM TOES

8 less than 5 times a number

Answers

Answer:

5x - 8

Step-by-step explanation:

Unable to solve completely.

Answer:

8< 5x

Step-by-step explanation:

We know that the 8 is less than 5 times a number, so we first put 8 <.

From here, we have the value 5 being multiplied by a number, that number can be any variable unless that specifically state which variable to use.

Hope this helps! :)

(Side Note: If you're talking about inequalities this should work, if not then I'm sure others will post different answers.)

Analyze tables use the table that shows the percents of blood types of 145 donors during a recent blood drive

a. find how many donors had type b blood. Round to the nearest whole number if necessary ____

b. How many donors did not have type O blood? Round to the nearest whole number if necessary ____

c. Which blood type has less than 10 donors?

blood type percent
O 45
A 40
B 11
AB. 4



Answers

Answer:

a. 16

b. 80

c. Blood type AB

Step-by-step explanation:

Given:

O = 45%

A = 40%

B = 11%

AB = 4%

Total number of donors = 145

a. No. of donors that had type B blood = [tex] \frac{11}{100}*145 = \frac{1,595}{100} = 15.95 [/tex]

Type B blood donors ≈ 16

b. No. of blood donors without blood type O = [tex] \frac{40 + 11 + 4}{100}*145 = \frac{55}{100}*145 = \frac{7,975}{100} = 79.75 [/tex]

Those without blood type O ≈ 80

c. Find the number of people that had type AB:

Type AB = [tex] \frac{4}{100}*145 = 5.8 [/tex] ≈ 6. This is less than 10 donors.

Therefore, blood type AB had less than 10 donors.

which is greater? 0.4 or 0.127​

Answers

Answer:0.4

Step-by-step explanation:

4 is bigger than one so it would be like 400>127

Answer:

0.4 would be the greater number

(a + 1)(a + 8) = 0
How to solve

Answers

(a + 1) (a + 8) = 0

a^2 + 8a + a + 8 = 0
a^2 + 9a + 8 = 0
a^2 + a + 8a + 8 = 0
a (a + 1) + 8 (a + 1) = 0
(a + 1) (a + 8) = 0

a + 1 = 0
a = -1

a + 8 = 0
a = -8

PLEASE SOMEONE ANSWER MY QUESTION PLEASE!

Answers

Answer:

c

Step-by-step explanation:

i used my calculator

When solving a multi-step equation, which number do you "undo" first? Choose ONE answer.

A. The number on the opposite side of the equals side from the variable

B. The number furthest from the variable (but on the same side of the equals sign)

C. order doesnt matter - choose which you want to do first

D. the number touching the variable

Answers

Answer:

C. Order doesnt matter - choose which you want to do first

Step-by-step explanation:

When solving multi step equations, there are different steps that can be followed depending on the nature of the equation. There could be variables on only one side or both sides of the equation and that can affect the order of operations. Thus, there is no standard order.

For example let's consider the equation;

7y + 6 = 2y + 16

Now,we can see there are variables on both sides, so the first step would be either to take the constants to one side first or to take the unknown variables to one side.

Whereas, in another example say;

5x - 3 = 7

The only option here is to take the constant on the left side to the right side.

There are other examples where we may have to carry out a division of all terms as the first step. In some other cases, there may be brackets, we need to get rid of as the first step.

Thus, there is no standard order and as such we choose which order we want to use based on the nature of the equation.

Krista drove 48 miles per hour for 8 hours. How far did krista drive

Answers

Answer:

She drove 384 miles, because 48 x 8 = 384! :)

Step-by-step explanation:

The distance driven by krista is 384 miles.

How to find the distance?

If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Given;

       speed = 48 miles per hour

       time = 8 hours

Speed= distance/time

           distance= speed x time

                          = 48 x 8

                           = 384 miles

Krista drove 384 miles of distance in 8 hours.

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which function has an inverse that is also a function?

Answers

Answer:

I think its the first one

The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).

What is an inverse function?

An inverse function refer to a function which alter or cause changes to other function given.

Therefore, The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).

Learn more about inverse function below.

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4 yards per week in feet per day

Answers

Answer:

1,71429...

Step-by-step explanation:

4yd = 3ft

→12ft per week

12 ÷ 7 = 1,71429

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