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dmezzullo

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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  1. dmezzullo
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    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
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  2. brookie5150
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    @perl

    • one year ago
  3. perl
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    need help?

    • one year ago
  4. dmezzullo
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    yes perl help plz

    • one year ago
  5. perl
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    we know from Demorgans rule that \[(\sim H \cap \sim M )= (H \cup M ) ^{\sim}\]

    • one year ago
  6. dmezzullo
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    yes

    • one year ago
  7. perl
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    so we want Not (H union M) , and where does V intersect that. I get 15

    • one year ago
  8. perl
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    ~ ( 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
  9. dmezzullo
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    what do u mean?

    • one year ago
  10. perl
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    we want \[V \cap (\sim H \cap \sim M )\\= V \cap (H \cup M ) ^{\sim}\]

    • one year ago
  11. dmezzullo
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    yes

    • one year ago
  12. perl
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    where does the circle V have in common with the region ~ ( H union M )

    • one year ago
  13. dmezzullo
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    9

    • one year ago
  14. perl
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    \[V \cap (\sim H \cap \sim M )\\= V \cap \sim (H \cup M ) \]

    • one year ago
  15. perl
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    we want the region outside H or M, so

    • one year ago
  16. perl
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    we are looking specifically at the area outside H or M

    • one year ago
  17. dmezzullo
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    1

    • one year ago
  18. perl
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    wait, first lets define what H union M is

    • one year ago
  19. dmezzullo
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    huh?

    • one year ago
  20. perl
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    U stands for union

    • one year ago
  21. dmezzullo
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    yes

    • one year ago
  22. perl
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    now we want the opposite , Not ( H union M )

    • one year ago
  23. perl
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    so that is the area outside

    • one year ago
  24. dmezzullo
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    ok

    • one year ago
  25. perl
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    now we want to know where Not ( H union M) intersects with circle V

    • one year ago
  26. dmezzullo
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    Ugh im so confused

    • one year ago
  27. perl
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    the answer is 15 by the way

    • one year ago
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