A university requires its Biology majors to take a course called BioResearch. The prerequisite for this course is that all students must have taken either a Statistics course or a computer course. By the time they are juniors, 52% of the Biology majors have taken Statistics, 23% have had a computer course and 7% have both. What percentage of students have also taken a computer course given they have taken Statistics?

(1) Subtracting the 7% from both is incorrect. This is easy to see by drawing a large circle to represents all bio majors, a mid-size circle (inside the big-circle) that takes up 52% of the area of the big circle to represent those bio majors who take stat, and a small-circle (inside the big-circle) that overlaps the mid-size circle to represent those bio majors who take computer science. The area of overlap of the mid-size circle and the small-circle is 7% of the total area of the large circle.

Now add the none overlap areas of the mid-size and small circle, and to that add the overlap:

You get (in percent) 52 + 23 - 7 = 68 %. That's .68.

(2) Consider only the students who have taken statistics. That's the mid-size circle in (1). And for these students what fraction have taken computer science? The fraction is 7/52 (and not 7% since we have limited the question to a specific group of students).

09-04-2011 at 10:50 pm

Step-by-step explanation:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

the answer would be c:   ax + b = ax + c

step-by-step explanation: