Westside High’s 2015 senior-class science enrollment is summarized by the Venn diagram. Chemistry, biology, and physics class enrollments are denoted by the sets C, B, an 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?

Westside Highs 2015 seniorclass science enrollment is summarized by the Venn diagram Chemistry biology and physics class enrollments are denoted by the sets C B class=

Respuesta :

Answer:

a)

63 students

b)

5 students

c)

18 students

Step-by-step explanation:

The Venn diagram could be represented in table form as:

   Subjects                                       Number of students

Only chemistry                                          9

Only Biology                                              11

Only Physics                                               7

Biology+Chemistry  not Physics               5

Only Biology+Physics not Chemistry         4

Only Physics+Chemistry not Biology         6

All three                                                        3

None of the three                                        18

Total                                                            63      

  • Clearly from the table we could observe that the total number of students that are in the senior class is the grand total of the table of values.       i.e. Total number of students=63.
  • Also, the number of students taking chemistry and biology, but not physics are:7.
  • Number of students not taking science are the students that takes none of biology, chemistry and Physics i.e. the region outside the circle i.e. 18 students.

           

The number of students in the 2015 senior class is 63, the number of students taking chemistry and biology, but not physics is 5, and the number of students not taking science is 18.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

From the Venn diagram:

Total number of students who enrolled in chemistry only = 9

Total number of students who enrolled in biology only = 11

Total number of students who enrolled in physics only = 7

Total number of students who enrolled in biology and chemistry but not in physics = 5

Total number of students who enrolled in biology and physics but not in chemistry = 4

Total number of students who enrolled in chemistry and physics but not in biology = 6

Total number of students who enrolled in all three subjects = 3

Total number of students who did not enroll in anyone = 18

Total number of students  = 63

Thus, the number of students in the 2015 senior class is 63, the number of students taking chemistry and biology, but not physics is 5, and the number of students not taking science is 18.

Learn more about the Venn diagram here:

brainly.com/question/1024798

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