Respuesta :
number of students that chose art = 100-(22+26) = 100- 48 = 52
so percentage of students who chose art = 52%
so percentage of students who chose art = 52%
Answer:
Step-by-step explanation:
Given that,
Total student is 100
Universal set U = 100
Student that chose mathematics
n(M) = 22
Student that chose history
n(H) = 26
The rest chose art
Since the student are choosing one subject then, the set is a disjoint set, so no student is choosing two subjects at once,
Then,
n(M) + n(H) + n(A) = U
n(A) = U — n(H) — n(M)
n(A) = 100—26—22
n(A) = 52
Number of student that choose art is 52
Then, the percentage of student that choose art is
%Art = n(A) / U × 100
%Art = 52 / 100 × 100
%Art = 52%