2) in a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1: 8, and ratio of college graduates without a graduate degree to non-college graduates is 2: 3. if one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?

The required probability is 0.07.

Step-by-step explanation:  Given that in a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8.

And ratio of college graduates without a graduate degree to non-college graduates is 2:3.

We are to find the probability that the college graduate has a graduate degree, if one picks a random college graduate at this large company.

According to the given information, we have

the ratio of college graduates with a graduate degree to non-college graduates is

and the ratio of college graduates without a graduate degree to non-college graduates is

Therefore, the ratio of college graduates with a graduate degree to the college graduates without a graduate degree to non-college graduates is

So, the probability that the college graduate has a graduate degree, if one picks a random college graduate at this large company is

Thus, the required probability is 0.07.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0