Thirty-eight cities were researched to determine whether they had a professional sports​ team, a​ symphony, or a​ children's museum. of these cities, 21 had a professional sports team, 20 had a​ symphony, 17 had a​ children's museum, 14 had a professional sports team and a​ symphony, 10 had a professional sports team and a​ children's museum, 10 had a symphony and a​ children's museum, and 6 had all three activities. How many of the cities surveyed had only a professional sports​ team?

Answers

Answer 1

Answer:

3 of the cities surveyed had only a professional sports​ team.

Step-by-step explanation:

We solve this question treating these as Venn sets.

I am going to say that:

Set A: professional sports team.

Set B: Symphony.

Set C: Children's museum.

We start building from the intersection of these three.

6 had all three activities.

This means that [tex]A \cap B \cap C = 6[/tex]

10 had a symphony and a​ children's museum,

This means that:

[tex](B \cap C) + (A \cap B \cap C) = 10[/tex]

[tex](B \cap C) + 6 = 10[/tex]

[tex](B \cap C) = 4[/tex]

That is, 4 have only the symphony and children's museum, while 6 have all three.

10 had a professional sports team and a​ children's museum

[tex](A \cap C) + (A \cap B \cap C) = 10[/tex]

[tex](A \cap C) + 6 = 10[/tex]

[tex](A \cap C) = 4[/tex]

14 had a professional sports team and a​ symphony

[tex](A \cap B) + (A \cap B \cap C) = 14[/tex]

[tex](A \cap B) + 6 = 14[/tex]

[tex](A \cap B) = 8[/tex]

21 had a professional sports team

This means that:

[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 21[/tex]

In which (A - B - C) represents the cities which had only a sports team. So

[tex](A - B - C) + 8 + 4 + 6 = 21[/tex]

[tex](A - B - C) = 3[/tex]

3 of the cities surveyed had only a professional sports​ team.


Related Questions

Mr Sharma's monthly salary is 7,500 of which he spends 6,250 every month. What per cent of Salary he saves? ​

Answers

Answer:

16.66%

Step-by-step explanation:

7500-6250=1250

1250/7500 x 100 = 16.66%

Use intercepts to graph the linear equation
-2 + 2y = 7.

Answers

Answer:

2y=7+2

2y=9

y=9/2

4.5

i hope to help you

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I
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The Answer Is 180. :)

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Answer:

What are u even talking about

Step-by-step explanation:

What is the measure of XYZ?

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Answer:

The measure of Angle XYZ = 34

Step-by-step explanation:

The capacity of a cone is 252 cubic cm and 20 cm tall. Find its width​

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Answer:

252 times 20 then you have to divide the square root of that. It's a quicker way, I learnt it and it really helps.π∞⇆↓∧

Step-by-step explanation:

write 7% as a Vulgar fraction​

Answers

Answer:

7/100

Step-by-step explanation:

This is literally what the percent sign means: "per hundred".

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Answer:

Suppose that you have a random point (x, y), and now you do a dilation from the origin with a scale factor of k.

Then the new coordinates of the point are:

(k*x, k*y)

Now, in this question, we have a dilation of scale factor k = 1/2.

Then if we start with the point (x, y), after the dilation we will have the point (x/2, y/2)

Now you can notice that instead of this, in the table we have (2*x, 2*y)

So this is the error, the transformation is not correctly calculated.

Water is shot straight up out of a water soaker toy.
The quadratic function y = –16x2 + 32x models the
height in feet of a water droplet after x seconds. How
long is the water droplet in the air?

Help!

Answers

Answer:

The water droplet is in the air for two seconds.

Step-by-step explanation:

You can solve this by finding the times at which its height is zero.  The lesser of the two values will be upon launch, and the greater upon landing:

y = -16x² + 32x

Let y = 0

-16x² + 32x = 0

factor -16 out:

x² - 2x = 0

complete the square:

x² - 2x + 1 = 1

and solve for x

(x - 1)² = 1

x - 1 = ±1

x = 1 ± 1

x = 0, 2

So the water is at a height of zero at zero seconds and two seconds.  It's thus in the air for two seconds.

Which image below shows the result of an image that has been rotated 180° by the origin O?

Answers

Answer:

) A (3, 5)            

(ii) B (-2, 7)          

(iii) C (-5, -8)      

(iv) D (9, -4)

Solution:

When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.

(i) The new position of the point A (3, 5) will be A' (-3, -5)

Answer:

i don't see what are you talking about . honestly

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Answers

Answer:

124984638540

Step-by-step explanation:

just use a calculator

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object.​

Answers

Answer:

B) 2 in x 5 in

Step-by-step explanation:

6 x 15   (divide each by 3)

2 x 5

Answer: its B

Step-by-step explanation:

The standard form of an equation of a circle with center at
(h, k)
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(y − h)2 + (x − k)2 = r2

(x − h)2 − (y − k)2 = r2


(y + h)2 − (x + k)2 = r2

(x − h)2 + (y − k)2 = r2

(x + h)2 − (y + k)2 = r2

Answers

Answer:

The standard form of an equation of a circle with center at (h, k) and radius r is

(x - h)² + (y - k)² = r²

Guys please help me with this question. Due now

Answers

Answer:

width is 8, length is 11

Step-by-step explanation:

The way in which to find the area of a 2D rectangle is to times length times width. If we assume that our with is 8, three more then that is 11, and obviously 8x11=88!

Hope you find this helpful and have a wonderful day!

help fast plz I need it​

Answers

Answer:

<JLK

Step-by-step explanation:

I NEED HELP ASAP PLEASEEEE​

Answers

Answer:

Step-by-step explanation:

1) Find the Mean of all the numbers.

3+4+5+7+10+12+15=56

56/7=8 mean is 8

Now We Calculate Standard Deviation:

S=[tex]\sqrt{(3-8)^2+(4-8)^2+(5-8)^2+(7-8)^2+(10-8)^2+(12-8)^2+(15-8)^2}[/tex]

You take each number from the problem i.e 3,4,5...

and then you subtract the mean from it and then square it.

S=[tex]\sqrt{(-5)^2+(-4)^2+(-3)^2+(-1)^2+(2)^2+(4)^2+(7)^2}[/tex]

S=[tex]\sqrt{25+16+9+1+4+16+49}[/tex]

S=[tex]\sqrt{120}[/tex]

S=[tex]\sqrt{120}/7[/tex]

7 is the amount of data units given in the problem.

120/7=17.1428571429

[tex]\sqrt{17.1428571429}[/tex] =4.1403933560541

Nearest hundredth=4.14

The sum of 3 and
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Answers

3x2= 6 so it’s 6 which is equal to n

9th grade Quizziz help please

Answers

Answer:

a²+7a+10

a²+5a+2a+10

a(a+5)+2(a+5)

(a+5)(a+2)

a+2 is required factor

Expand and simplify the following:
6x - 3(2x-1)

Answers

Answer:

3

Step-by-step explanation:

=6x-3(2x-1)

=6x-6x+3

=3 Answer

I need da answer to it and more

Answers

Answer:

The answer is 0 if there are 85 inches in the past year then there wouldn't be any in the present year.

Step-by-step explanation:

there are 34 rose bushes currently in the park. Park workers will plant more rose bushes today. When the workers are finished there will be 70 rose bushes in the park. How many rose bushes did the workers plant today

Answers

Answer:

I think the answer is C

Step-by-step explanation:

Because they said there are 34 currently so if you add 36 or 34 to 70 it has to be C

1. Estimate the product of 19.8 and 5 by rounding each factor to the nearest whole number
A. 50
B. 100
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D. 99​

Answers

Answer:

the answer is 100

Step-by-step explanation:

as it is told to round the factors to nearest whole no. 19.8 will be 20 and 5 will remain same... 20*5 is 100

What is the percent of decrease from 500,000 to 200,000?

Answers

Answer:

500,000 to 200,000 is a 60% decrease.

Due in 50 minutes for 25 points please help!

Answers

Answer:

y = 16.3

Step-by-step explanation:

Based on the altitude theorem of a right triangle, we have:

14 = √(12*y)

Square both sides

14² = 12*y

196 = 12y

Divide both sides by 12

196/12 = 12y/12

16.3 = y

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Answers

The 2 answers are
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Step-by-step explanation:

First you have to make it so that everything is on the same side so 2x^2+7x-4

Then you do cross multiply 2x=4 and x=0. I don't know really how to explain it but the answer is x=2 x=-1


PLEASE HURRY I WILL MARK BRAINIEST

The new wing of an art
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Answers

Answer: 24

Step-by-step explanation:

32/4 = 8

3 * 8 = 24

24 + 8 = 32

There are 24 windows in the new wing.

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Answers

Answer:

the answer is C

Step-by-step explanation:

there isn't much to learn here this is just something that you come to know off the top of your head

Two experiments are conducted in which a single 6-sided die is rolled 20 and 80 times. The outcomes of the experiments are shown below. For each result calculate the experimental probability of rolling a ""2."" Express your answer as a reduced fraction and a decimal rounded to three decimal places.

Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Use a sales tax calculator

Question 10 of 10
James wants to tile his floor using tiles in the shape of a trapezoid. To make
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bottom base is 21 inches. How long of a cut will John need to make so that
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O A. 18 inches
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D. 6 inches

Answers

Answer:

18 inches

Step-by-step explanation:

The median of a trapezoid is the average of the lengths of the bases.

15 + 21 = 36

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good luck, i hope this helps :)

Answer:

18 inches

Step-by-step explanation:

Refer to this link:

https://brainly.com/question/7564799

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