Mariah has a spinner that has 10 equal sections, each containing a different number from 1 to 10. mariah determines abou
how many times the spinner will land on a number that is greater than 7 in 250 spins, and her work is shown below.
numbers greater than 7
p(number greater than 7) -
- nurnber of spins
total number of sections
4(250)
= 100
what mistake did mariah make, if any?
mariah has the formula reversed; it should be the total number of sections over the numbers greater than 7.
mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
mariah should multiply by the number of sections in the spinner rather than the total number of spins.
mariah calculated the prediction correctly and did not make any mistakes.

idk

step-by-step explanation: i just don't

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.