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
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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

what is 2/16 as a decimal

Answers

2/16 as a decimal is 0.125

| 1) A penny made in 1982 weighs about 0.11 ounce. A
penny made in 2013 weighs about 0.09 ounce. Which
penny weighs more? Solve this problem any way you
choose.

Answers

Answer:

Weight in 1982

Step-by-step explanation:

Given parameters:

 Weight of penny in 1982 = 0.11 ounce

  Weight of penny in 2013 = 0.09 ounce

Unknown:

Which penny weighs more = ?

Solution:

  Simply, we are looking for which number is higher,

     0.11 or 0.09

Let us find the differences;

   if x is greater than y then,   x - y must be positive

If 0.11 is greater then 0.09, then 0.11 - 0.09 must be positive

                                                      = 0.02, it is positive

The weight of a penny in 1982 is greater than that in 2013

Mr. Gregory sold several cars this week. Here is some data about the cars he sold. Car sold Retail price Miles per gallon Seats Navigation? Accord \$22,205$22,205dollar sign, 22, comma, 205 323232 555 no Altima \$22,500$22,500dollar sign, 22, comma, 500 323232 555 no Camry \$23,070$23,070dollar sign, 23, comma, 070 303030 555 yes ... ... ... ... ... The individuals in this data set are: Choose 1 answer: Choose 1 answer: (Choice A) A Mr. Gregory's customers (Choice B) B Cars (Choice C) C Seats This data set contains: Choose 1 answer: Choose 1 answer: (Choice A) A 333 variables, 222 of which are quantitative (Choice B) B 333 variables, 333 of which are quantitative (Choice C) C 444 variables, 222 of which are quantitative (Choice D) D 444 variables, 333 of which are quantitative

Answers

Answer:

The individual in the data set is the cars sold

There are 4 variables but 3 are numerical or quantitative

Step-by-step explanation:

See Attachment for proper format of question.

Required

The individuals in this data set are:

This data set contains:

Solving (a):

From the attachment, we have the following columns:

Cars Sold; Retail Price; Miles Per Gallon; Seats; Navigation

From the list of columns, the individual in the data set is the cars sold because it represent what is being referenced in the table

Solving (b):

In (a) above, we established the individual to be cars sold.

The other 4 elements are what the data set contains i.e. variables.

From the attachment, we have that

retail price, miles per gallon and seats are numerical data while navigation isn't.

So, we can conclude that.

There are 4 variables but 3 are numerical or quantitative

Answer:

B

D

Step-by-step explanation:

I got it right on khan. Please send thanks

explain the relationship between a strategy such as number sense and a written method such as partial products or area models for multiplying decimal numbers ​

Answers

There are a lot of differences between these two.

Step-by-step explanation:Firstly, strategy are all in mind and not on paper while written methods are solid proofs that are written on paper. Strategies may or may not work out with respect to the situation, while Written method will always work. They are actually written after testing their reliability. As far as you multiply decimal numbers these will go in vain and you have to use your mind to solve these

The relationship between strategy and written method in mathematics is that;

Strategies can be changed or modified whereas written methods cannot be changed or modified because they have standards upon which such methods are based.

In mathematics, strategies are defined as the different ways in which a problem can be approached. For example;

A student wants to perform addition of 19 and 46.

He could add the number straight away by doing 19 + 46 = 65or he can

take away 1 from 46 to become 45 and add that 1 to 19 to become 20 and

then sum 45 and 20 together as 20 + 45 = 65.

So we can see that the two strategies used to add 19 and 46 gave the same result.

In contrast, when dealing with written methods like partial products one cannot use any other method apart from that stated in the written method.

For example, we want to use partial products to multiply 13 x 52.

The solution would become (10 × 50) + (10 × 2) + (3 × 50) + (3 × 2) = 676.

In this method, there cannot be another way used as the standard for using partial products is written and fixed.

Read more at; https://brainly.com/question/18884089

Find the equation of a line parallel to −2x+2y=6 that contains the point (3,−5). Write the equation in slope-intercept form.

Answers

-2x+2y=6
2y=2x+6
y=x+3

y=3+3
y=6

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

question 8/10 please and thank you

Answers

Answer:

80

Step-by-step explanation:

These angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

12x+8 = 13x+2

Subtract 12x from each side

12x+8-12x = 13x+2-12x

8 = x+2

subtract 2 from each side

8-2 =x

6 =x

Find the measure of the angle

12x+8

12*6+8

72+8

80

Round number to the underline digit 45.398 The underline digit is 3.

Answers

The answer is 45.40

If the 3 is underlined, look at the 9 and tell if the 3 should be rounded up or down. 9 is greater than 5 so that means that it will round up. You will then be left with 45.40

Hope this helps!
45.40 rounded to the hundredths place.

The Jackson family went to eat at Applebees. Their bill came to $32.89. They gave the waiter a 15% tip. What was the total amount they paid for their bill?

Answers

$32.89

15% tip

Is $4.94

Making the total of the bill

$37.83

Bill and Jerry are both taking their hot-air balloons to the balloon show.
They are good friends and like to share experiences. The especially like that when
they get to fly their balloons next to each other. Unfortunately they did not get
cleared to depart at the same time. Bill got to go up first and had already started
to descend by the time that Jerry was cleared. Five seconds before Jerry takes
off Bill’s balloon basket was 1032 feet above the ground falling at a constant rate.
Five seconds after Jerry takes off Bill’s basket was 985 feet above the ground
and Jerry’s balloon basket was 57 feet off the ground and rising at the same
constant rate the whole time. To the nearest tenth of a second, how long after
Jerry’s balloon took off will the height of the two balloon baskets be the same
height?

Answers

9514 1404 393

Answer:

  62.6 seconds

Step-by-step explanation:

We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

__

For Bill's balloon, the two given points are ...

  (t, h) = (-5, 1032) and (5, 985)

Then the equation is ...

  h = (985 -1032)/(5 -(-5))(t -(-5)) +1032

  h = -47/10(t +5) +1032

__

For Jerry's balloon, the two given points are ...

  (t, h) = (0, 0) and (5, 57)

Then the equation is ...

  h = (57-0)/(5-0)(t -0) +0

  h = (57/5)t

__

The heights are equal when ...

  -47/10(t +5) +1032 = (57/5)t

  1008.5 = t(57/5 +47/10) = 16.1t

Then the time until heights are the same is ...

  t = 1008.5/16.1 ≈ 62.6 . . . seconds

A rectangular poster is 5 dm long and 3 dm wide. Sara wants to paint the whole poster. Find the area of the poster in square cm.

Answers

Answer:

[tex]\boxed{1500cm^{2} }[/tex]

Step-by-step explanation:

Area = Length × Width

→ Identify the length and width

Length = 5 and Width = 3

→ Substitute in the values

Area = 5 dm × 3 dm

→ Convert into cm

Area = 50 cm × 30 cm

→ Simplify

1500 cm²

what is (2 cubed) to the fourth power

Answers

Answer: 4096

Step-by-step explanation: 2^3=8, 8^4=4096.

Answer:

4096

Step-by-step explanation:

2 cubed=8

8^4=4096

Ben drinks water everyday. He drinks 3 1/2 liters of water every 1/4 of an hour. Ben drinks water at a constant rate. How many liters of water can Ben drink in 3 hours?

Answers

Ben drinks 3 1/2 liters of tea every 40 minutes.

This means that he would drink 1 3/4 of tea every 20 minutes (divide both sides by 2).

Now, let's multiply each side by 3.  

1.75 * 3 = 5.25 (aka 5 1/4)

20 * 3 = 60 minutes (an hour)

He drinks 5 1/4 liters of tea in one hour.

Answer:

42 liters

Step-by-step explanation:

3.5x4=14 in 1 hour

14x3=42liters in 3 hours

-12.5 - (-4.8) What is the value of the expression?

Answers

When you are determining the answer to the question, make sure you know to change the signs. The answer is - 7. 7

ryans tennis club Membership Which is 11$ is deducted each month which expression shows the total deductions for the year?

Answers

Answer:

(-$11)x12

Step-by-step explanation:

hope this helps if its right can i get brainliest

3х + 11 = 20
Helppppp

Answers

Answer: x=3

Step-by-step explanation: subtract 11 from 20 and you'll get 9. Nine divided by 3= 3. Therefore, x=3

Answer:

x = 3

Step-by-step explanation:

3x + 11 = 20

Subtract 11 from both sides.

3x + 11 = 20

3x -11 = -11

3x = 9

Divide both sides by 3

3x/3 = 9/3

Simplify the equation

x = 3

Check; Plug 3 into the equation

3(3) + 11 = 20

9 + 11 = 20

Hope this helps!

-Jerc

is this a keep, change, change?
-9-8

Answers

Answer:

umm i think so

Step-by-step explanation:

HELP ME PLS ITS DUE TODAY :((​

Answers

Answer:

3         8

18       48

22.5   60

27       72

Step-by-step explanation:

3:8 ratio

18/3=6

8*6=48

Answer:

48

60

72

Step-by-step explanation:

1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.

2. Equation: 3*?=8, ? = 8/3

3. Multiply all of the other numbers by 8/3 to get the answers.

4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.

Answers: 48, 60, 72

3(2x + 1) – (4x + 2)
How do i siplify this

Answers

Answer:

= 2x + 1

Step-by-step explanation:

Answer: 2x+1
Explanation:
Step 1. Distribute
Distribute the 3 to 2x+1 and the negative sign to 4x+2. You will get 6x+3-4x-2
Step 2. Combine like terms
Subtract 6x-4x and subtract 3-2.
You will get 2x+1 as your final answer.
If this helped please mark me as brainliest!!<3

let f(x) = 2x - 1, g(x) = x²- 2 x+ 1. find (f• g ) (x)​

Answers

Answer:

f•g(x) = f(x)•g(x)

f•g(x) = (2x-1) (x²-2x+1)

= 2x³-4x²+2x-x²+2x-1

= 2x³-5x²+4x-1

A pitchers earned-run average E varies directly as the number R of earned runs allowed and inversely as the number of I innings pitched. A certain pitcher had an earned-run average of 2.92, giving up 85 earned runs in 262 innings. How many earned runs would the pitcher have given up having pitched 311 innings with the same average?

Answers

9514 1404 393

Answer:

  101 runs

Step-by-step explanation:

The given relation is ...

  E = kR/I

The value of k can be found from the given numbers.

  2.92 = k(85/262)

  k = 2.92(262/85) = 9

__

Solving the above equation for R, we get ...

  R = E·I/9 = (2.92)(311)/9 = 100.9 ≈ 101

The pitcher would have given up 101 earned runs in 311 innings.

PLZ HURRY IT'S URGENT!!
What is the y-intercept of the line?
y=2/3x+4
options:

0

1

2/3

4

Answers

Answer:

4

Step-by-step explanation:

y intercept is always the value without a coeffiecent

Answer:

ITS 4

Step-by-step explanation:

BRAINLIEST Multiply each side by the common denominator​

Answers

Answer:

c. x² + 2x -5 = 0

Step-by-step explanation:

 Given expression;

         [tex]\frac{5}{x}[/tex]   = [tex]\frac{x + 2}{3}[/tex]  

Unknown:

 The quadratic equation equivalent to this expression:

Solution:

  The common denominator here is 3x;

 

    So, multiply both sides by 3x

          [tex]\frac{5}{x}[/tex] x 3x  =  [tex]\frac{x + 2}{3} x[/tex] 3x

          5 x 3 = (x + 2)x

           15 = x² + 2x

     So;

          x² + 2x - 15

The quadratic expression is x² + 2x - 15

2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph

Answers

Your answer is 65

Step-by-step explanation:

You need to divide 585 by 9 the answer is 65

Please look at the pic and help it got marked wrong

Answers

Answer:

although it is true that could be -(1/4)^4

if you multiply the answer can also be -1/256

Heya!!

your answer is!

-1/256

2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56

Answers

Answer: subtraction property of equality

Step-by-step explanation:

Find the slope of the line below

Answers

Answer:

5/3

Step-by-step explanation:

rise=5

run=3

so 5/3

it would be 5/3 the rise is 5 and the run is 3


- Karan has n chocolates. He gave his younger brother 5 chocolates and distributed the remaining is
equally between his friend and himself. How many chocolate did his friend get in terms of n?

Answers

Answer:

4 chocolates

Step-by-step explanation:

n-c

brother-5n

5n-n=4

=4

Karan will have 4 chocolate bars.

If the bother has 5, then that leaves the rest to be 12 which is evenly distributed among his friends

N=4

a bacteria culture begins with 8 bacteria which triples in size every week. How many bacteria exists in the culture after 4 weeks ?

Answers

Answer:

648

Step-by-step explanation:

8x3=24

24x3=72

72x3=216

216x3=648

A net is cut from a piece of cardboard that is 13 inches by 17 inches. The cardboard that is not used for the net is recycled.



How many square inches of cardboard are recycled?

Answers

Answer:

109 sq in

Step-by-step explanation:

By adding up all the areas in the net, we get 112 sq in. We then use that number to subtract from the area of the cardboard which is 221 sq in. We then get 109 sq in from that. Hope this helps.

Round to the nearest whole number 7.6

Answers

Answer:

8

Step-by-step explanation:

You would round because 7.6 is over half

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