Question

westside highs 2015 senior - class science enrollment is summarized by the venn diagram. chemistry, biology, and physics class enrollments are denoted by the sets c, b, and p, respectively. how many students are in the 2015 senior class? how many students are taking chemistry and biology, but not physics? how many students are not taking science?

Explanation:

Sub - Question 1: How many students are in the 2015 senior class?

Step 1: Identify all regions in the Venn diagram

The regions are: only Chemistry (9), Chemistry and Biology only (5), only Biology (11), Chemistry and Physics only (6), all three (3), Biology and Physics only (4), only Physics (7), and not in any science (18).

Step 2: Sum all regions

To find the total number of students in the senior class, we sum all the regions: \(9 + 5+11 + 6+3 + 4+7+18\)
First, calculate \(9 + 5=14\), \(14+11 = 25\), \(25+6 = 31\), \(31+3 = 34\), \(34+4 = 38\), \(38+7 = 45\), \(45+18=63\)

Step 1: Locate the region

The region that represents students taking Chemistry and Biology but not Physics is the part of the intersection of \(C\) and \(B\) that does not overlap with \(P\). From the Venn diagram, this value is 5.

Step 1: Identify the region

The region representing students not taking any science is the part outside the three circles (Chemistry, Biology, Physics). From the Venn diagram, this value is 18.

Answer:

63

Sub - Question 2: How many students are taking chemistry and biology, but not physics?