A survey was conducted to determine the popularity of three foods among students. The data collected from 75 students are summarized above. What is the number of students who like none or only one of the foods?

20

Step-by-step explanation:

Total no = 75

N (P) = 48 , N (H) = 45 , N (T) = 58

N (P∩H) = 28 , N (H∩T) = 37 , N (P∩T) = 40

N (P∩H∩T) = 25

Total no = N (P) + N (H) + N (T) - N (P∩H)  -  N (H∩T) - N (P∩T) + N (P∩H∩T) + neither

75 = 48 + 45 + 58 - 28 - 37 - 40 + 25 + neither

75 = 71 + neither → neither = 4

N (only P) = N (P) - N (P∩H)  - N (P∩T)  + N (P∩H∩T) = 48 - 28 - 40 + 25 = 5

N (only H) = N (H) - N (P∩H) - N (H∩T) +  N (P∩H∩T) = 45 - 28 - 37 + 25 = 5

N (only T) = N (T) - N (H∩T) - N (P∩T) + N (P∩H∩T) = 58 - 37 - 40 + 25 = 6

So, total liking either one or neither = 4 + 5 + 5 + 6 = 20

b

step-by-step explanation:

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.