Aphone survey about university tuition has a margin of error of +/– 2%. what is the range of number of people who think tuition is too high at the university if 2004 of the 3421 students said it was and there are about 20,000 students at the university

a. 11,282 to 11,950 students
b. 11,482 to 11,550 students
c. 11,782 to 11,950 students
d. 11,482 to 11,950 students

11,482 to 11,950 students

Step-by-step explanation:

Given: A phone survey about university tuition has a margin of error of +/– 2%.

To Find: What is the range of number of people who think tuition is too high at the university if 2004 of the 3421 students said it was and there are about 20,000 students at the university

Solution:

We are given that there are about 20,000 students

We are also given that 2004 of the 3421 students said  tuition is too high at the university

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Since we are given that A phone survey about university tuition has a margin of error of +/– 2%

So, 2% of 11715.87 = 234.31 ≈ 234

So, now

Hence the range of f number of people who think tuition is too high at the university is 11,482 to 11,950 students

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.