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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
 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
 one year ago

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dmezzulloBest ResponseYou've already chosen the best response.0
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
 one year ago

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

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

perlBest 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)
 one year ago

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

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

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

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

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

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

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

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

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

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