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

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%

step-by-step explanation:

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !