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My name is Ann [436]
3 years ago
8

According to a survey of 100 people regarding their movie attendance in the last year, 40 had seen a science fiction movie, 50 h

ad seen an adventure movie, and 40 had seen a horror movie. Moreover, 25 had seen a science fiction movie and an adventure movie, 5 had seen an adventure movie and a horror movie, and 15 had seen a science fiction movie and a horror movie. Only 5 people had seen a movie from all three categories.
Required:
a. Use the given information to set up a Venn diagram and solve it.
b. Complete the following sentence:

The survey suggests that ____________% of science fiction movie fans are also horror movie fans.
Mathematics
1 answer:
Anarel [89]3 years ago
4 0

Answer:

Kindly check attached picture ; 37.5%

Step-by-step explanation:

Let:

S = number of science fiction movie viewers

H = number of horror movie viewers

A = number of adventure movie viewers

From the information given :

n(SnHnA) = 5

n(SnH) only = 15 - 5 = 10

n(SnA) only = 25 - 5 = 20

n(AnH) only = 5 - 5 = 0

n(S) only = 40 - (10+5+20) = 5

n(H) only = 40 - (10+5+0) = 25

n(A) only = 50 - (5 + 20 + 0) = 25

2.) % of science fiction movie to horror movie fans

Total Science fiction movie fans = n(S) = 40

Science fiction and Horror movie fans = n(SnH) = 15

[n(SnH) / n(S)] * 100%

(15 / 40) * 100%

0.375 * 100%

= 37.5%

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Answer:

4 + (3s/10) gallons

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5 0
3 years ago
A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4
Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

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So, value of car after depreciation in another 4 years = Half of the value after 4 years = \frac{1}{2}(\frac{x}{2})=\frac{x}{4}

Therefore, final depreciated value after 8 years is \frac{x}{4}.

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3 0
3 years ago
The order pair below is a solution to which equation (24,6)
Illusion [34]
It would be much easier for me to help you pick the correct equation
if you would let me see the list of choices.

Since I can't see any of the choices, I'll just make up a few equations
that have the ordered pair  (24, 6)  as a solution:

         Y  =  0.25 x

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Need help on this question i dont get it ima be posting some more but i need help on this on first
Anuta_ua [19.1K]

Answer:

The answer is B.

Step-by-step explanation:

Its B because in the problem it says $12 per yard which means it would be 12y. The 40 Rupesh already had so just add it and it would be 12y+ 40. The key word "At least" results into the sign being greater than or equal to. So the final answer would be 12y+40\geq 148.

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3 years ago
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dmitriy555 [2]

Answer:

2.1818

Step-by-step explanation:

Hope it helped!

4 0
3 years ago
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