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dmezzullo

  • 2 years 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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  1. dmezzullo
    • 2 years ago
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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

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  2. brookie5150
    • 2 years ago
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    @perl

  3. perl
    • 2 years ago
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    need help?

  4. dmezzullo
    • 2 years ago
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    yes perl help plz

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

  6. dmezzullo
    • 2 years ago
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    yes

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

  8. perl
    • 2 years ago
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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)

  9. dmezzullo
    • 2 years ago
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    what do u mean?

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

  11. dmezzullo
    • 2 years ago
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    yes

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

  13. dmezzullo
    • 2 years ago
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    9

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

  15. perl
    • 2 years ago
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    we want the region outside H or M, so

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

  17. dmezzullo
    • 2 years ago
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    1

  18. perl
    • 2 years ago
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    wait, first lets define what H union M is

  19. dmezzullo
    • 2 years ago
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    huh?

  20. perl
    • 2 years ago
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    U stands for union

  21. dmezzullo
    • 2 years ago
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    yes

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

  23. perl
    • 2 years ago
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    so that is the area outside

  24. dmezzullo
    • 2 years ago
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    ok

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

  26. dmezzullo
    • 2 years ago
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    Ugh im so confused

  27. perl
    • 2 years ago
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    the answer is 15 by the way

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