Mathematics College

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

A business supply store bought some merchandise with a list price of $13,800. The wholesaler extended a trade discount that made the net price $8,970. Find the trade
discount rate (as a %).

Answers

Answer:

The discount rate is %35! :)

Step-by-step explanation:

PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

The best estimate is point B

please help 50 points

Answers

Answer:

 |J| = -40

Step-by-step explanation:

The determinant of a 2×2 matrix is the difference between the product along the down diagonal and the product along the up diagonal:

  |J| (-2)(8) -(4)(6) = -16 -24

 |J| = -40

Answer:

|J| = -40

Step-by-step explanation:

5. A man purchased a sewing machine for ₹1250 and spent ₹250 on its transportation. He sold it for ₹1600. Find his profit percent.​

Answers

Answer:

COST PRICE=1250+250=1500

SELLING PRICE=1600

GAIN=1600-1500=100

GAIN PERCENT=>

Step-by-step explanation:

I HOPE ITS HELP YOU

What is the center of the circle represented by the equation x2 + y2 - 4x + 2y + 1 = 0?

Answers

Answer:(2,-1)

Step-by-step explanation:

The required center of the given circle is given as (2, -1).

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on coordinate plane and r is the radius of the circle.

Here,
The standard form of the equation of the circle s is given as,
x² + y² -2hx -2ky + c = 0

Given the equation of the circle is
x² + y² - 4x + 2y + 1 = 0

Comparing the equations,
-2h = -4
h = 2

-2k = 2
k = -1

Thus, the required center of the given circle is given as (2, -1).

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If 2 triangles are similar which of the following conclusions can you make

Answers

Answer:

what

Step-by-step explanation:

what's the rest of the problem

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

4x -2 + 5x + 6
What does this equAl

Answers

Answer:

9x + 4

Step-by-step explanation:

Step 1: Write expression

4x - 2 + 5x + 6

Step 2: Combine like terms (x)

9x - 2 + 6

Step 3: Combine like terms (constants)

9x + 4

Answer:

9x + 4

Step-by-step explanation:

5 + 7x= 11 + 7x (solve the equation)
A0
B14
C infinitely many solutions
D no solution
Can someone pls help :)

Answers

Answer:

D no solution :)

4x + 7y - 6z + 6y - 9x like terms

Answers

Answer:

-5x + 13y - 6z

Step-by-step explanation:

5.) Evaluate the function. f(x)=8x+9 for f(5). Show your work and write your
answer in function notation.

Answers

Answer:

49

Step-by-step explanation:

f(5)=8×5+9=40+9=49

Suppose our retirement account pays 9% apr compounded monthly; what size nest egg do we need in order to retire with 25 years that yields to $5,000 per month? Show all work

Answers

Answer:

  $595,808.11

Step-by-step explanation:

We assume the retirement account is intended to pay out $5000 per month for 25 years. The amortization formula can be used to find the required amount. The monthly payment A based on principal P with interest at annual rate r for t years satisfies the relation ...

  A = P(r/12)/(1 -(1 +r/12)^(-rt))

  P = A(12/r)(1 -(1 +r/12)^(-rt))

  P = 5000(12/0.09)(1 -(1 +.09/12)^-300)

  P = $595,808.11

The required nest egg is $595,808.11.

please answer 9 or 11 or both pleasseeee

Answers

Answer:

hi the picture doesn't appear

I WILL GIVE BRAINLIEST
Can someone help me out with this??

Answers

Answer:

record time

Step-by-step explanation:

code word is record time

Answer: R E C O R D  T I M E

Step-by-step explanation:

first u start, they you go to the  2 path, then you reach R Which is 4 so you go in the 4 path then to to the E path, which is 1 so you go down to the C path, then after that its equales -1 so then you go to the o path the answer is -6 so you got to that path R, then it equals -4 so then u go to the D path then after that u would go to the T path then after that u go to the I path cause it equals -7 then head to M cause it equals -8 the finish E

What is the slope of the line represented by the equation 3x+4y= 12?
A. -4/3
B. -3/4
C. 3/4
D. 4/3

Answers

Answer:

b. -3/4

Step-by-step explanation:

!!!!PLEASE HELPPPP ITS DUE SOON!!!!

Answers

Answer:

can u  please attach the photo

Step-by-step explanation:

i cannot see it clearly

anyone know how to measure angles?​

Answers

Answer:

With a protractor

Step-by-step explanation:

use a protractor or a ruler thing for it

Classify the data of the heights of ladders produced by a tool company.

Answers

Complete Question:

1. Classify the data of the heights of ladders produced by a tool company.

Group of answer choices :

Statistics

Qualitative

Classical

Quantitative

Answer:

The data of the heights of ladders produced by a tool company is:

Quantitative

Step-by-step explanation:

The heights of ladders are stated in numbers.  Quantitative data give information about quantities or numbers.  They can be measured with certainty.  They are not like qualitative data which are descriptive and cannot be easily measured unless classified in some ways.  Quantitative measurements associate measurement units to data, e.g. meters and feet. For example, the heights of persons, buildings, or things like ladders can be measured quantitatively in meters and feet.  Another feature of quantitative data is that arithmetic operations can be performed on the data.

Find the percent of increase from 8 to 10 feet

Answers

Answer:

25%

Step-by-step explanation:

[tex]percentage \: increase \\= \frac{10 - 8}{8} \times 100 \\ \\ = \frac{2}{8} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25 \%[/tex]

The increase in height from 8 to 10 feet is 25%. To calculate a percentage, divide the value by the total value and multiply the result by 100.

How to calculate percentage?To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage. Divide the number you want to convert to a percentage by the total. In this case, divide 2 by 5. 2 divided by 5 equals 0.4. Then, multiply 0.4 by 100 to get 40, or 40%.Divide one number by the other and multiply the result by 100 to find the percentage of a number between two numbers. To calculate the percentage, divide the value by the total value and multiply the result by 100.

Therefore,

percentage increase

= (10 - 8) / 8 × 100

= 2/8 × 100

= 1/4 × 100

= 25%

Hence, The increase in height from 8 to 10 feet is 25%.

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Find the measure of the third angle of a triangle given the measures of two angles.
34 and 88

Answers

Answer:

58

Step-by-step explanation:

All three angles of a triangle have to add up to 180. Given this we can do the following problem:

180-34-88 = 58

Find the percent of change from $36 to $24. Round to the nearest percent if necessary.
What is it

Answers

Answer:

33.33% decrease

Step-by-step explanation:

Answer:

50% decrease or -0.5

Step-by-step explanation:

WILL MAKE BRAINLIEST!
20 POINTS TO EARN

Answers

Answer:

(2,-5)

Step-by-step explanation:

The slope of the line is 3/4. You need to find 2/3 of this, which is quite easy. Since the slope is 3/4, then 2/3 of 3/4 would be 2/4, or 1/2. 2/4 slope of this line brings you to the point (2,-5) which is point B.

the diameter of a circle is 12.6 cm find its perimeter​

Answers

39.58 cm ! hope this helps !(:

10. Mark ran 3 miles everyday for 2 weeks. How far did mark run in all?​

Answers

14 days = 2 weeks so

14 times 3 = 42

Answer:

42 miles

Step-by-step explanation:

2 weeks= 14 days

3 miles everyday times 14

= 42 miles

1/2x plus 12 = 8x Please help me!

Answers

Answer:

8/5=x

Step-by-step explanation:

1/2x+12=8x

Subtract 1/2x from both sides

12=15/2x

Multiply 2/15 on both sides

8/5=x

Is a function represented by the table linear? 10 -6 11 -1 1 12 6 13 12

Answers

Answer:

If so then this table is linear

Step-by-step explanation:

when looking at a table, to check if it is linear, simply look at the x values and if there are any duplicates then ur answer would not be linear. but for this table their are no duplicate x values so it is linear

Eight more than twice a number is four less than the same number​

Answers

Answer:idk

Step-by-step explanation:

The equation would be 2x+8=x-4
+4. +4
2x+12=x
-2. -2
12=-1x
-12=x
I hope that’s right,don’t mind the .’s I couldn’t get rid of them

Rounding 801,504 to the nearest thousand

Answers

Answer:

802,000

Step-by-step explanation:

802,000

Since there is a 5 in the hundreds place, the 1 in the thousands place rounds up to a 2.

Answer:

802,000

Step-by-step explanation:

Because round to the nearest 1,000 and and 802,000 is the nearest.

What are the solution(s) of the quadratic equation 98 – x2 = 0?

Answers

Answer:

49

Step-by-step explanation:

98-x2=0

-98    -98

[tex]\frac{x2}{2}[/tex]     [tex]\frac{98}{2}[/tex]

    49

The 24 students in Mr. Brown's homeroom sold 72 magazine subscriptions. The 28 students in Mrs. Garcia's homeroom sold 98 magazine subscriptions. Whose homeroom sold more magazine subscriptions per student? Be sure to include examples as you explain your reasoning. *

Answers

Answer:

see below

Step-by-step explanation:

Mr. Brown

72 magazines/ 24 students = 3 magazines per student

Mrs. Garcia

98 magazines/ 28 students = 3.5 magazines per student

Mrs. Garcia sold more per student

Name the slope and one point that is on the line
represented by the equation: x = -2
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)

Answers

Answer: Choice A

m = undefined

point (-2,5)

==================================================

Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

------------------

All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

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

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

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