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 one year ago
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.
 one year ago
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.

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dmezzullo
 one year ago
Best ResponseYou've already chosen the best response.1If 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

perl
 one year ago
Best ResponseYou've already chosen the best response.0we know from Demorgans rule that \[(\sim H \cap \sim M )= (H \cup M ) ^{\sim}\]

perl
 one year ago
Best ResponseYou've already chosen the best response.0so we want Not (H union M) , and where does V intersect that. I get 15

perl
 one year ago
Best ResponseYou've already chosen the best response.0~ ( H U M ) is everything outside H union M. and V intersects that at 15 (where does V have it in common)

perl
 one year ago
Best ResponseYou've already chosen the best response.0we want \[V \cap (\sim H \cap \sim M )\\= V \cap (H \cup M ) ^{\sim}\]

perl
 one year ago
Best ResponseYou've already chosen the best response.0where does the circle V have in common with the region ~ ( H union M )

perl
 one year ago
Best ResponseYou've already chosen the best response.0\[V \cap (\sim H \cap \sim M )\\= V \cap \sim (H \cup M ) \]

perl
 one year ago
Best ResponseYou've already chosen the best response.0we want the region outside H or M, so

perl
 one year ago
Best ResponseYou've already chosen the best response.0we are looking specifically at the area outside H or M

perl
 one year ago
Best ResponseYou've already chosen the best response.0wait, first lets define what H union M is

perl
 one year ago
Best ResponseYou've already chosen the best response.0now we want the opposite , Not ( H union M )

perl
 one year ago
Best ResponseYou've already chosen the best response.0so that is the area outside

perl
 one year ago
Best ResponseYou've already chosen the best response.0now we want to know where Not ( H union M) intersects with circle V

perl
 one year ago
Best ResponseYou've already chosen the best response.0the answer is 15 by the way
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