Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100. City carpets charges $25 per square yard for the same carpeting and an additional installation fee of $70. Write and solve an equation to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

10

Step-by-step explanation:

country carpets: y = 22x + 100

City carpets: y = 25x + 70

22x + 100 = 25x + 70

I could be wrong but I hope this helps!

step-by-step explanation:

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