Based on historical data, an Oregon university enrolls 17% graduates and 83% undergraduates. Of graduates, 21% are expected to be non-residents and 79% are residents. Of undergraduates, 24% are non-residents and 76% are residents.
During the 2008-2009 academic year, assume that the University of Oregon will enroll 23,500 total students. Of these, how many non-residents can they expect to enroll?
a) 5054
b)5520
c)5288
d) 7533
e)6072
To determine the number of non-resident students the University of Oregon can expect to enroll during the 2008-2009 academic year, we need to calculate the percentage of non-resident students and then multiply it by the total number of students.
Let's do the calculations step-by-step:
1. Calculate the percentage of graduate students who are non-residents:
- Percentage of graduate students: 17%
- Percentage of non-resident graduate students: 21%
- Calculation: (17% * 21%) = 0.17 * 0.21 = 0.0357 (rounded to four decimal places)
2. Calculate the percentage of undergraduate students who are non-residents:
- Percentage of undergraduate students: 83%
- Percentage of non-resident undergraduate students: 24%
- Calculation: (83% * 24%) = 0.83 * 0.24 = 0.1992 (rounded to four decimal places)
3. Calculate the overall percentage of non-resident students:
- Calculation: (0.0357 + 0.1992) = 0.2349 (rounded to four decimal places)
4. Calculate the number of non-resident students:
- Total number of students: 23,500
- Calculation: (0.2349 * 23,500) = 5517.15
Based on these calculations, the University of Oregon can expect to enroll approximately 5,517 non-resident students during the 2008-2009 academic year. Rounded to the nearest whole number, the answer is 5,517.
Therefore, the correct answer is:
b) 5520
To find the number of non-residents that the University of Oregon can expect to enroll, we need to first calculate the number of graduate and undergraduate students, and then calculate the number of non-resident students in each category.
Step 1: Calculate the number of graduate and undergraduate students.
Given that 17% of the students are graduates and 83% are undergraduates, we can calculate the number of graduate students as follows:
Number of graduate students = 17% * 23,500
Number of graduate students = 0.17 * 23,500
Number of graduate students = 3,995
Number of undergraduate students can be calculated as:
Number of undergraduate students = 83% * 23,500
Number of undergraduate students = 0.83 * 23,500
Number of undergraduate students = 19,505
Step 2: Calculate the number of non-resident students in the graduate and undergraduate categories.
For the graduate students, 21% are expected to be non-residents, so the number of non-resident graduates is:
Number of non-resident graduate students = 21% * Number of graduate students
Number of non-resident graduate students = 0.21 * 3,995
Number of non-resident graduate students = 839.95 (approximately 840)
For the undergraduate students, 24% are expected to be non-residents, so the number of non-resident undergraduates is:
Number of non-resident undergraduate students = 24% * Number of undergraduate students
Number of non-resident undergraduate students = 0.24 * 19,505
Number of non-resident undergraduate students = 4,681.2 (approximately 4,681)
Step 3: Calculate the total number of non-resident students.
Total number of non-resident students = Number of non-resident graduate students + Number of non-resident undergraduate students
Total number of non-resident students = 840 + 4,681
Total number of non-resident students = 5,521
Therefore, the University of Oregon can expect to enroll approximately 5,521 non-resident students.
The correct answer is (b) 5520.