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26 April, 06:34

There are 2000 people in a local college. Of 60 people surveyed, 3 were professors and the rest were students. Using these estimates, how many students are at the local college?

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  1. 26 April, 10:01
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    The total number of students at the local college=1,900 students

    Step-by-step explanation:

    Step 1

    Determine proportion of sample that are students and professors as shown;

    professors=total number of professors/sample size

    where;

    total number of professors=3

    sample size=60

    replacing;

    professors proportion=3/60=1/20

    Students proportion=total number of students/sample size

    total number of students=sample size-total number of professors

    total number of students=60-3=57

    sample size=60

    replacing;

    Students proportion=57/60=19/20

    Step 2

    Determine how many students are at the local college;

    Number of students=students proportion*total number of people at local college

    where;

    students proportion=19/20

    total number of people at local college=2,000

    replacing;

    Number of students = (19/20) * 2,000=1,900 students

    The total number of students at the local college=1,900 students
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