In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about

Question

In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam’s Lunch AL, Pizza Tower PT, and the Dining Hall DH. 15 liked AL but not PT 10 liked AL only 23 liked AlL 42 liked PT 48 liked DH 4 liked PT and AL but not DH 25 liked PT and DH How many liked PT or DH? 0 27 O 39 O 25 O 52 O 65

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Maria 6 days 2022-01-11T13:29:21+00:00 1 Answer 0 views 0

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    2022-01-11T13:30:39+00:00

    Answer:

    65 Dormitory Students

    Step-by-step explanation:

    Given

    15 liked AL but not PT

    10 liked AL only

    23 liked AL

    42 liked PT

    48 liked DH

    4 liked PT and AL but not DH

    25 liked PT and DH

    How many likes PT or DH?

    This can be represented by n(PT u DH)

    n(PT U DH) = Number of those that like PT or DH

    n(PT U DH) = n(PT) + n(DH) – n(PT n DH)

    Where n(PT) = Number of those that like PT = 42

    n(DH) = Number of those that like DH = 48

    n(PT n DH) = Number of those that like PT and DH = 25

    So, we have

    n(PT U DH) = 42 + 48 – 25

    n(PT U DH) = 65

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45:7+7-4:2-5:5*4+35:2 =? ( )