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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?

Respuesta :

Just chem = 14 Chem and physics =6 Just physics = 8 Neither = 2

Answer:

Refer attachment for answer.

Step-by-step explanation:

Given :

Total students that took science exams (physics and chemistry) = 30

Total students that passed chemistry exams = 20

Total students that passed physics exams = 14

Total students that passed both physics and chemistry exams = 6

Let P denotes students who passed physics test , C denotes students who passed physics test and S denotes total students that took exam.

There are only two possibility that either student passed or fails in exam.

So, total students passed = total student passed in physics +  total student passed in chemistry - total student passed in both

= 14+20-6 = 28

Thus 2 (30-28) students got failed in both the exams.

Below Venn diagram (see the attachment ) represents the students who got passed in physics, chemistry or both and out of 30, 2 students did not passed so we put them outside the circle.


Ver imagen athleticregina