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3 November, 04:19

The Venn diagram represents all students attending Pythagorean High School. Circle A represents all students that are enrolled in extracurricular activities. Circle B represents all female students. There are 200 females not enrolled in extracurricular activities, the enrollment of the high school is 1,000, and there are 450 male students. How many students are represented by the portion of the Venn diagram not in either circle if 90 male students are enrolled in extracurricular activities

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  1. 3 November, 07:43
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    Total population of school = 1000

    1000 - 450 males = 550 female students

    550 - 200 females not in extra curriculars = 350 females in extra curriculars

    350 + 90 males in extra curriculars = 440 total in extra curriculars

    Circle A = 440

    Circle B - overlap = 200 females not in extra curriculars

    440 + 200 = 640

    1000 - 640 = 370 students represented by the portion of the Venn diagram not in either circle
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