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18 April, 05:47

John surveyed 25 of his classmates about their music preferences7 students said they like hip-hop, 13 students said they pop, and 8 students said they liked neither hip-hop nor pop musicJohn made a Venn diagram to find the number of students who like both hip-hop and pop music Evaluate John's work Did he use the Venn diagram accurately to arrive at a correct solution?

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  1. 18 April, 06:11
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    The venn diagram is not included in the question, but il try to answer it in a general way.

    We have a sample of 25 persons.

    7 of them like hiphop.

    13 of them like pop

    8 of them do not like neither.

    So in our Venn diagarm we will have two circles, one for the students that like pop and other for the students that like hip-hop.

    in the pop circle we have 13 students, in the circle of hiphop we have 7 students, and outside both circles we have 8 stundents.

    Now, if we add it all we get:

    13 + 7 + 8 = 28,

    But we have 25 students, this means that 3 of the students like both genres, hip hop and pop.

    Then the circles of hip hop and pop must have an intersection, and in the intersection we must have 3 students.
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