Question

Campbell Music Academy held workshops on classical music composers Mozart, Vivaldi, and Haydn. The Venn diagram shows the number of seniors who chose to attend workshops on each of the three composers.

Answer 1

If the total number of seniors in the academy is 64, what is the total number of students who belong to the set V ∩ (~H ∩ ~ M)?

45

33

19

15

Answer 2

@perl

Answer 3

need help?

Answer 4

yes perl help plz

Answer 5

we know from Demorgans rule that
\[(\sim H \cap \sim M )= (H \cup M ) ^{\sim}\]

Answer 6

yes

Answer 7

so we want Not (H union M) , and where does V intersect that. I get 15

Answer 8

~ ( H U M ) is everything outside H union M. and V intersects that at 15 (where does V have it in common)

Answer 9

what do u mean?

Answer 10

we want \[V \cap (\sim H \cap \sim M )\\= V \cap (H \cup M ) ^{\sim}\]

Answer 11

yes

Answer 12

where does the circle V have in common with the region ~ ( H union M )

Answer 13

9

Answer 14

\[V \cap (\sim H \cap \sim M )\\= V \cap \sim (H \cup M ) \]

Answer 15

we want the region outside H or M, so

Answer 16

we are looking specifically at the area outside H or M

Answer 17

1

Answer 18

wait, first lets define what H union M is

Answer 19

huh?

Answer 20

U stands for union

Answer 21

yes

Answer 22

now we want the opposite , Not ( H union M )

Answer 23

so that is the area outside

Answer 24

ok

Answer 25

now we want to know where Not ( H union M) intersects with circle V

Answer 26

Ugh im so confused

Answer 27

the answer is 15 by the way