The table shows the attendant careers among incoming class of first-year college students. every student is chosen at random what is the probability that he or she intends on a career that is categorized as other?
a. 28.7%
b. 47%
c. 44%
d. 4.4%

To solve this you must use a proportion like so...

The total number of students that can be chosen are 4,663. This number will represent the whole of one fraction in the proportion. We want to know what percent probability out of these students intend on a career that is categorized as other (2,188). This would be considered the part of this fraction.

Percent's are always taken out of the 100. This means that the other fraction in the proportion will have 100 as the whole and x (the unknown) as the part.

Here is your proportion:

Now you must cross multiply

2,188*100 = 4,663*x

218,800 = 4,663x

To isolate x divide 4,663 to both sides

218,800/4,663 = 4,663x/4,663

47 ≈ x

This means that there is roughly 47% of a student in the other catagory to be chosen at random

Hope this helped!

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step-by-step explanation: