Nolan wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5\6 ft by 2 1\3 ft. Find the area the carpet needs to cover.

11 5/18 ft squared

Step-by-step explanation:

because the floor is probably a rectangle, we can use the area formula to find the area of the carpet. the formula is

A = Length × Width

so now we plug in the numbers.

A = (4 5/6) × (2 1/3)

I'm going to simplify the numbers into an improper fraction because the numbers are in a mixed fraction format and I simply dislike it.

A = (29/6) × (7/3)

A = 203/18 ft squared

In the answer section, the numbers look different because I converted my 203/18 into a mixed number.

A = 203/18 = 11 5/18 ft squared

the monthly balance will be $75,000

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