To get a driver's license, an applicant must pass a written test and a driving test. Past records show that 80% of the applicants pass the written test and 60% of those who have passed the written test pass the driving test. Based on these, how many applicants in a random group of 1,000 applicants would you expect to get driver's licenses?

We can expect 480 applicants to get the driving licenses in a random group of 1000 applicants.

Step-by-step explanation:

Given:

Total Number of Applicants = 1000

We need to find the number of applicants from the random group will get the driving license.

Solution:

Now given that;

80% of the applicants pass the written test.

So we can say that;

Number of applicants pass the written test is equal to 80% of the Total Number of Applicants.

framing in equation form we get;

Number of applicants pass the written test =

Also Given:

60% of those who have passed the written test pass the driving test.

So we can say that;

Number of applicants pass the driving test is equal to 60% of the Number of applicants pass the written test.

framing in equation form we get;

Number of applicants pass the driving test =

Hence We can expect 480 applicants to get the driving licenses in a random group of 1000 applicants.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2