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dmezzullo

  • 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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  1. dmezzullo
    • one year 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
    • one year ago
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    @perl

  3. perl
    • one year ago
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    need help?

  4. dmezzullo
    • one year ago
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    yes perl help plz

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

  6. dmezzullo
    • one year ago
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    yes

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

  8. perl
    • one year 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
    • one year ago
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    what do u mean?

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

  11. dmezzullo
    • one year ago
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    yes

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

  13. dmezzullo
    • one year ago
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    9

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

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

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

  17. dmezzullo
    • one year ago
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    1

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

  19. dmezzullo
    • one year ago
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    huh?

  20. perl
    • one year ago
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    U stands for union

  21. dmezzullo
    • one year ago
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    yes

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

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

  24. dmezzullo
    • one year ago
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    ok

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

  26. dmezzullo
    • one year ago
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    Ugh im so confused

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

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