What is the law of large numbers? as the sample size decreases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome. as the sample size increases, the cumulative frequency of outcomes gets closer to the theoretical probability of the outcome. as the sample size increases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome. as the sample size increases, the relative frequency of outcomes moves further from the theoretical probability of the outcome. if you were using the relative frequency of an event to estimate the probability of the event, would it be better to use 100 trials or 500 trials? explain. it would be better to use 500 trials, because the law of large numbers would take effect. it would be better to use 100 trials, because the law of large numbers would take effect. it would be better to use 500 trials, because 100 trials is always too small. it would be better to use 100 trials, because 500 trials is always too big.

15 batches are the most you can make

step-by-step explanation:

i think it is 18

step-by-step explanation:

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.

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}