A plumber charges a $50 fee plus $100 per hour to complete a plumbing job. The total amount spent on a plumbing job can be expressed by the function T(x) = 100x + 50 where x represents the number of hours spent on the plumbing job. The maximum time spent on one job per day is 8 hours. Find a reasonable domain and range for this situation.

Between 150 and 800

T is between 150 and 800

Step-by-step explanation:

given information

charges=$50

charges per hour=$100

let the amount of time spent be x

therefore the function for the total amount is

T(x) = 100x + 50

we want to estimate the amount for 1 hour and 8 hours

for 1 hour we have

x=1

T(x) = 100x + 50

T(1) = 100(1)+ 50

T(1) = 150

for 8 hours we have

x=8

T(x) = 100x + 50

T(8) = 100(8)+ 50

T(8) = 800+50

T(8) = 850

the domain is between 150 and 800

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