How many \frac{1}{3} 3 1 inch cubes does it take to fill a box with width 22 \frac{2}{3} 3 2 inches, length 33 \frac{1}{3} 3 1 inches, and height 22 \frac{1}{3} 3 1 inches?

Step-by-step explanation:

First we need to find the volume of the cube;

Volume = Length * Width * height

Given;

Length = 3 1/3 in

Width = 2 2/3 in

Height = 2 1/3 in

Volume = 3 1/3  * 2 2/3 * 2 1/3

Volume = 10/3 * 8/3 * 7/3

Volume = 560/3 in^3

To know thw amount of 1/3 in^3 it takes to fill the box, we will take the ratio of the volume to the unit volume;

Ratio = 560/3÷1/3

Ratio = 560/3 * 3/1

Ratio = 560

Hence it will take 560 1/3 in^3 to fill a box with that volume

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

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: