32 students play basketball and 25 Students play
volleyball . It is found that 13 students play both
games. Find the number of students playing at least
one game
dotos numbers Sets
n
و​

Answers

Answer 1
No. of students playing at least one game = 44
Step-by-step explanation:
B = basketball; V = volleyball
n(B) = no of students playing only B
n(V) = no. of students playing only V
n(B∩V) = no. of students playing both B and V
Now:
32 students play basketball. Some of them could also be playing volleyball. Hence, the number of students playing only basketball will be 32 minus those that play both.
n(B) = 32 - 13 ............(Given that 13 play both games)
n(B) = 19
Similarly,
25 students play volleyball. Some of them could also be playing basketball. Hence, the number of students playing only volleyball will be 25 minus those that play both.
n(V) = 25 - 13
n(V) = 12
Thus, we have 19 students playing only B, 12 students playing only V and 13 students playing BOTH.
Clearly, the number of students that play at least one game is:
No. of students playing ONLY basketball +
No. of students playing ONLY volleyball +
No. of students playing BOTH
This can be given as:
n(B) + n(V) + n(B∩V)
= 19 + 12 + 13
= 44
Answer 2

Answer:

44 students

Step-by-step explanation:

Given parameters:

Number of students playing basketball = 32

Number of students playing volleyball = 25

Number of students playing both = 13

Unknown:

Number of students playing at least one game = ?

Solution:

Let us first find the number of students that play basketball only and volleyball only.

Number of students playing basketball only = 32  - 13  = 19

Number of students playing volleyball only = 25 - 13  = 12

So,

Least number of students that play at least one game  = number of students that plays basketball only + number of students that plays volleyball only + number of students that plays both;

     = 19 + 12 + 13  

      = 44 students


Related Questions

Find the Unit Rate.
216 diving students to 12 instructors

Answers

Answer: 216 diving students to 12 instructors = 18 students per instructor.

Step-by-step explanation:

Find an equivalent ratio in simplest terms 44:80

Answers

Answer:

11:20

Step-by-step explanation:

Divided by 4

2. A line goes through the points, and .
(a) What is the slope of the line? Show your work.



(d) Write the equation of the line in point-slope form. Show your work.
(e) Write the equation of the line in slope-intercept form. Show your work.

Answers

Answer:

on the 1st one you have to put points on the line where the square match the best like put points on the line where the squares are rect with the line and then choose 2 of them and make a triangle like; if there is the line you have to jump the squares while until arriving the other point. I hope his help you!:)

A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there

Answers

Answer:

78936000 possible selections

Step-by-step explanation:

Given

Letters = 5

Digits = 1

Required

Possible number of selection.

Since the letters can't be repeated and there are 26 alphabets.

The first letter can be any of 26

The second = 25

The third = 24

The fourth = 23

The fifth = 22

The digit can be any of 0 - 9 (10 digits).

So.

The possible number of selection is.

Number = 26 * 25 * 24 * 23 * 22 * 10

Number = 78936000

As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.

How many squares should he use for the sixth stage?​

Answers

Answer:

21 squares

Step-by-step explanation:

1 = 1

2 = 3

3 = 6

The pattern follows squares use in the previous stage + new stage = squares use the new stage

Squares used in stage 2 = Squares used in stage 1 + stage 2

= 1 + 2

= 3 squares

Squares used in stage 3 = Squares used in stage 2 + stage 3

= 3 + 3

= 6 squares

Squares used in stage 4 = Squares used in stage 3 + stage 4

= 6 + 4

= 10 squares

Squares used in stage 5 = Squares used in stage 4 + stage 5

= 10 + 5

= 15 squares

Squares used in stage 6 = Squares used in stage 5 + stage 6

= 15 + 6

= 21 squares

4 = 10

5 = 15

6 = 21

There were some people on a boat 26 people got off the boat at the first harbor. 22 people got on the boat. Now there are 74 people on the boat. How many people were on the boat to begin with?

Answers

Answer:

78 people were on the boat to begin with.

Step-by-step explanation:

Moving backwards is the way to solve this question.

74 - 22 = 52

52 + 26 = 78

And to prove the answer is correct.....

78 - 26 = 52

52 + 22 = 74

1. What is the value of 125 - 34 + 7 x 3?
a.) 294
c. 112
b. 252
d. 70

Answers

Answer:

c

Step-by-step explanation

7x3=21

125-34=91

91+21=112

the answer for the problem is 112.

What is the unit rate for meters per second if a car travels 414 meters in 23 seconds?

Answers

Answer:

18 meters per second

Step-by-step explanation:

414/23=18

Not trying to be rude but you should know how to do this with or without a calculator

44. Skiing A skier is trying to decide whether or not to buy a
season ski pass. A daily pass costs $67. A season ski pass
costs $350. The skier would have to rent skis with either pass for $25 per day. How many days
would the skier have to go skiing in order to make the season pass less expensive than
daily passes?

Answers

$67 x 6 = 402
402 + (25 x 6) = 552

$350 + (25 x 6) = 500

the skier would have to go skiing for 6 days in order to make the season pass less expensive than the daily pass.

If product of two numbers=384HCF=8,2cm=?​

Answers

Answer:

96 and 288

Step-by-step explanation:

So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).

Such order independent pairs are (1,7) and (3,5).

Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.

The differences are 6*48=288 and 2*48=96.

We have found difference without finding numbers.

Ans.: 96 and 288

p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.

Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.

Points that do not lie in the same plane are called________points​

Answers

Answer:

non - collinear points

Step-by-step explanation:

points that dont lie on the same line

Help me please! If you can explain it will help me a lot, if not then it’s okay.

Answers

Answer:

I cant help bc it doesnt show :((( sorrrrry

Step-by-step explanation:

D should be the answer

Can y’all help me on this one

What’s the answer?

Answers

Answer:

x = 2

Step-by-step explanation:

First translate the image into an equation using the key. Once you do that, your equation should look like this:

(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)

________________________________

3x - 5 = -2x + 5

(given)

________________________________

3x - 5 = -2x + 5

+5. +5

(addition property of equality)

*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*

__________________________

3x = -2x + 10

+2x +2x

(addition property of equality)

*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*

________________________________

5x = 10

÷5. ÷5

(division property of equality)

*divide by 5(GCF) on both sides to isolate

x by itself*

________________________________

x = 2

________________________________

If you want to test this solution, substitute this back into the equation.

x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1

Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation

Answers

Answer: 1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = 500, 000

In word - Five hundred thousand [ as place value of 5 =  hundred thousand]

In scientific notation, [tex]500, 000=5\times10^5[/tex]

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

To observe the effect of a categorical IV on a categorical DV (or variables recoded categorically from quantitative data), you would use the:

Answers

Answer:

Dummy Coding

Step-by-step explanation:

Dummy Coding is used to observe the effect of one categorical variable on another.

In this case, the first categorical variable is independent (ICV) while the other is dependent (DCV).

The dummy coding system makes use of two numerical values; 0 representing the absence of an effect and 1 representing the presence of that effect.

José correctly answered 80% of the
questions on a language arts quiz. If he
answered 16 questions correctly, how ma
questions were on the language arts quiz

Answers

Answer:

20

Step-by-step explanation:

80% needs 20% more to be 100%  so we devide 16 by 4 to get the awnser for 20% witch is 4 so 16+4 is equal to 80% + 20% so 20

Answer:

20

Step-by-step explanation: 16 you need to 2  more question to get 100 so if you use your brain and imagine doing a test and you get an 80 percent and answered 16 correct go back to the test to see what you have

4
5
÷ 1
10
= ?

To solve this problem, ask the question


The quotient is .

Answers

Answer:

4.5

Step-by-step explanation:

I did 45/1 I and it's 45 then 45/10

how much is twice the size if im 3 ft 7 in tall​

Answers

Answer:

the answer is 7.1 inches tall

3x+2=7x+6 what is x​

Answers

Answer: -1

1. Deduct 7x.

3x+2−7x=7x+6−7x

−4x+2=6

2. Deduct both sides by 2.

−4x+2−2=6−2

−4x =4

3. Divide by 4.

-4 ÷ 4 = -1

Answer. = -1

Step-by-step explanation:

B. Solve the following Polynomials:
1. u³ + 64​

Answers

Answer:

(4 + u)(16 – 4u + u2)

Step-by-step explanation:

64 + u3.

= 43 + u3.

= (4 + u)(42 – 4.u + u2).

= (4 + u)(16 – 4u + u2).

If n is the least two consecutive odd integers, which of the following represents the sum of the two integer?

Answers

Answer:2n+2

Step-by-step explanation:

What is:

6t-2/4 + 4 (t+1) when t=5

Answers

Answer:

2 /20t+7

​  

 

Step-by-step explanation:

6t-2/4+4(t+1). (Value of t=5)
=> 39.5

What is the value of x?

Answers

Answer:

Step-by-step explanation:

where are the other variables?

This is a fast question i will give you brainlest if you annswer this question What is elapsed time also what 100 ÷ 300 no rush just try yiur best. Thank you​

Answers

Answer:

100÷300 =3 I know only this answer

Using the following conversions between the metric and U.S. systems, convert the measurement. Round your answer to the nearest tenth as needed

There are 8 fluid ounces in a cup, 2 cups in a pint, 2 pints in a quart,
and 4 quarts in a gallon.

1L ~ 0.26 gallons
9 fl oz _____ mL

Answers

Answer:

266.162 ml

Step-by-step explanation:

solve for x: x²/x-3=x+2/2x-5​

Answers

Answer:

x=2

Step-by-step explanation:

x2

x

+−3=x+x+−5

Multiply all terms by x and cancel:

x2+−3x=xx+xx+−5x

x2−3x=2x2−5x(Simplify both sides of the equation)

x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)

−x2+2x=0

x(−x+2)=0(Factor left side of equation)

x=0 or −x+2=0(Set factors equal to 0)

x=0 or x=2

Check answers. (Plug them in to make sure they work.)

x=0(Doesn't work in original equation)

x=2(Works in original equation)

Answer:

x=2

Which is the best description for the graph?

Answers

Answer:

decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward

Determine the intercepts of the graph please be sure

Answers

X = (7,0) y= (0,2)


Hope this helps!!

Answer:

X= (_7, 0)

Y= (0, 2

Step-by-step explanation:

We meet again

A line is decreasing from left to right and crosses the y-axis at-5. Which of the following equations matches the
description of the line?
A. y=5x=5
B. y=-5x-5
C. y=5x -5
D. y=-5x + 5

Answers

Answer:

B

Step-by-step explanation:

y=mx+b is the slope-intercept form. Y will remain the same. Since the slope is decreasing, use a negative. The y-intercept is -5, so substitute that for b.

"An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.3 for a random sample of 2333 people. Assume the population standard deviation is known to be $11.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place."

Answers

Answer: ($19.8, $20.8)

Step-by-step explanation:

Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\overline{x}[/tex] = Sample mean, n= sample size, [tex]\sigma[/tex] = population standard deviation, z* = two tailed critical z-value.

Given:  [tex]\overline{x}[/tex] = $20.3

n= 2333

[tex]\sigma[/tex] = $11.3

For  98% confidence,  z* = 2.326

Then, the98% confidence interval for population mean will be:

[tex]20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)[/tex]

Hence,  the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)

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