Question

select the correct answer.
venn diagrams 1 - 4 as shown
a class of 30 students took midterm science exams. 20 students passed the chemistry exam, 14 students passed physics, and 6 students passed both chemistry and physics. which venn diagram correctly represents this information?
a. venn diagram 1
b. venn diagram 2
c. venn diagram 3
d. venn diagram 4

Explanation:

Step1: Analyze Chemistry (C) and Physics (P) sections

For Chemistry (C): Total passed = 20, both passed = 6. So only Chemistry: \(20 - 6 = 14\).
For Physics (P): Total passed = 14, both passed = 6. So only Physics: \(14 - 6 = 8\).
Total students: 30. Check total in Venn: Only C (14) + Both (6) + Only P (8) = \(14 + 6 + 8 = 28\). Students who passed neither: \(30 - 28 = 2\).

Step2: Match with Venn diagrams

Venn diagram 2 has: Only C = 14, Both = 6, Only P = 8, Neither = 2. This matches our calculations.

Answer:

B. Venn diagram 2