Charles is planning to have a party for Laura’s 16th birthday. He will be making wooden benches and tables. He estimates that a wooden bench will take 4 hours
to complete and a wooden table will take 2 hours; he plans to work no more than
60 hours per week. Charles wants to make at least 4 tables and at least 8
benches. If the wood costs $40 for a table and $25 for a bench, find a combination
of benches and tables that will minimize his cost so that he has more money for
Laura’s birthday present.

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

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105