Acollege financial adviser is interested in studying the number of students at his college who apply for loans when entering graduate school. of the 721 students at the college, 299 of them apply for loans when entering graduate school. if the financial adviser conducts a study and samples 45 students at the college who are starting graduate school next fall, what is the probability that more than 16 of them apply for loans?

0.7429

Step-by-step explanation:

Given that  Of the 721 students at the college, 299 of them apply for loans when entering graduate school.

So p = proportion of students applying for loans =

Each student is independent of the other and there are two outcomes

Hence out of 45 students the no of students who apply for loans say X is binomial with n =45 and p = 0.415

the probability that more than 16 of them apply for loans

=

=0.7429

tangent

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!