Gary used candle molds, as shown below, to make candles that were perfect cylinders and spheres: What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14. A.) 16.75 cubic inches B.) 20.93 cubic inches C.) 24.25 cubic inches D.) 33.49 cubic inches

A.) 16.75

Step-by-step explanation:

First, find the volume of each mold:

= πr²h

Where,

π = 3.14

r = 2 in

h = 4 in

= ⁴/3πr³

Where,

π = 3.14

r = 2 in

Approximate difference in the amount of wax needed = 50.24 - 33.49 = 16.75 in^3

36 is the final answer! : )

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560