Using data compiled by the admissions office at an imaginary university, college admissions officers estimate that 65% of the students who are offered admissions to the freshman class at the university will actually enroll.
(a) find an equation that expresses the relationship between the number of students who actually enroll (y) and the number of students who are offered admission to the university (x).
(b) if the desired freshman class size for the upcoming academic year is 1300 students, how many students should be admitted?
students

a) y= 0.65x

b) 2000

Step-by-step explanation:

a) If x=the number of students who are offered admission to the university and y =the number of students who actually enroll  the ratio y/x= 65/100

So  if we multiply both sides by x, we will get y=0.65 x

b) If y= 0.65x and we want y= 1300, replace this into the equation , then we have

Then x=  , that is x= 2000

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

11 feet 6 inches and 8 feet 6 inches