A block of marble is in the shape of a rectangular prism. The block is 2 feet long. 3 feet wide, and 90 inches high. What is the volume of the block? The volume of the block is cubic feet​

Volume of a rectangular prism can be found with the equation

v = length × width × height

They are trying to trip you up a little bit here because they give 2 measurements in feet then the last in inches. So for your prism...

18 inches = 1.5 ft

v = l×w×h

v = 3×2×1.5

v = 9 ft^3

Volume=length*width*height, so first you would have to change the units of the inches to feet, which would be 90/12=7.5, so now you can fit that into the equation, 2*3*7.5=45 ft cubed!

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