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


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Answer:

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Step-by-step explanation:

Moving backwards is the way to solve this question.

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

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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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

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

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

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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:

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Answers

Answer:

20

Step-by-step explanation:

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Answer:

20

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Answer:

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Step-by-step explanation:

D should be the answer

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

21 squares

Step-by-step explanation:

1 = 1

2 = 3

3 = 6

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Answers

Answer:

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Step-by-step explanation:

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Ans.: 96 and 288

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Answers

Answer: -1

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−4x+2−2=6−2

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3. Divide by 4.

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Step-by-step explanation:

"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

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Step-by-step explanation:

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

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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)

________________________________

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(given)

________________________________

3x - 5 = -2x + 5

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

__________________________

3x = -2x + 10

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________________________________

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.

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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.

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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

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Answers

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


Hope this helps!!

Answer:

X= (_7, 0)

Y= (0, 2

Step-by-step explanation:

We meet again

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Answers

Answer:

2 /20t+7

​  

 

Step-by-step explanation:

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

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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).

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Answers

Answer:

B

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:2n+2

Step-by-step explanation:

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