Agroup of students were surveyed about their taste in music. they were asked how they like three types of music: rock, country western and jazz. the results are summarized below no one dislikes all three. six like all three. eleven don't like country western. sixteen like jazz. 3 like country western and jazz but not rock. 6 don't like rock. 8 like rock and country western. 7 don't like jazz. how many students were surveyed?

23

Step-by-step explanation:

This problem can be solved using a Venn diagram (see picture attached).

Notice how the data was included in the diagram. Data:

Combining equation 1 with equation 2 we get:

a + 7 = 11 or a = 4

Combining this result and eq. 4:

4 + 2 + d = 7 or d = 1

Combining this result and eq. 3:

1 + 3 + c = 6 or c = 2

Combining this result and eq. 2:

b + 2 = 7 or b = 5

There were surveyed a + b + c + d + 2 + 6 + 3 or 4 + 5 + 2 + 1 + 2 + 6 + 3 = 23 students.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.