For smart ppl in math.

It's all explained below :)

Step-by-step explanation:

So first we need to go to a graphing calculator! I usually use Desmos to do my stats stuff. You'll wanna head to their linear regression calculator (I can't add a link, but just google Desmos linear regresion and it'll pop up).

Put the points into the table. Lines of best fit have the equation y1 ~ bx1+a, so put that in the box right below the table, where you see another equation already written- just edit it. We see all the other numbers listed below that, so we know that b=-0.894 and a=13.599, so the line of best fit is -0.9x + 13.6 = y when you round those numbers.

The correlation coefficient is represented by the letter r. r is shown below as well, and is -0.964. Strong correlations are represented by a value close to the number 1, so this is strong, as it's very close. It is negative because of its sign. Correlation coefficients don't go over the number 1 or below -1, so be careful. I hope this was helpful! If you need any more clarification just let me know.

ou would have 12 of each

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.