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SOLUTION:
Step 1:
In this question, we are told that the two-thirds of the students at the local community college live in the county.
If there are 2028 students enrolled, we are meant to find how many do not live in the county.
Step 2:
If two-thirds of the students live in the county.
Then, we have that:
[tex](\text{ 1 - }\frac{2}{3})\text{ = }\frac{1}{3}\text{ do not live in the county.}[/tex]Step 3:
Then, to calculate the number of students that do not live in the county. we have that:
[tex]\frac{1}{3}\text{ x 2028 = }\frac{2028}{3}=\text{ 676 students}[/tex]CONCLUSION:
There are 676 students that do not live in the county.