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.


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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

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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...

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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

what are the souloutions to 2x^2 +7x=4

Answers

The 2 answers are
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Answer: x=2, x=-1

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

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Answers

Answer:

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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

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Step-by-step explanation:

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Answers

Answer:

16.66%

Step-by-step explanation:

7500-6250=1250

1250/7500 x 100 = 16.66%

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.

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Answer:

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

Question 10 of 10
James wants to tile his floor using tiles in the shape of a trapezoid. To make
the pattern a little more interesting he has decided to cut the tiles in half
along the median. The top base of each tile is 15 inches in length and the
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
B. 36 inches
O C. 3 inches
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

36 ÷ 2 = 18

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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Answers

3x2= 6 so it’s 6 which is equal to n

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

a²+7a+10

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Answer:

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Step-by-step explanation:

Solve for x*
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I
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Answers

Answer:

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Step-by-step explanation:

just use a calculator

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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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!

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Answers

Answer:

3

Step-by-step explanation:

=6x-3(2x-1)

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Answers

Answer:

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Answers

Answer:

2y=7+2

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i hope to help you

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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

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(x − h)2 − (y − k)2 = r2


(y + h)2 − (x + k)2 = r2

(x − h)2 + (y − k)2 = r2

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Answers

Answer:

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Answers

Answer:

y = 16.3

Step-by-step explanation:

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

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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:

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complete the square:

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Answers

Answer:

B) 2 in x 5 in

Step-by-step explanation:

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2 x 5

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Step-by-step explanation:

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Answers

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Step-by-step explanation:


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

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