Taylor is comparing the prices of two mattress cleaning companies. company a charges $30 per mattress and an additional $15 as service charges. company b charges $28 per mattress and an additional $21 as service charges. part a: write equations to represent company a’s and company b’s total mattress cleaning charges for a certain number of mattresses. define the variable used in the equations. part b: which company would charge less for cleaning 6 mattresses? justify your answer. part c: how much money is saved by using the services of company b instead of company a to clean 3 mattresses?

Company A: y= 30x +15 Company B: y= 28x +21

Company B will be cheaper for cleaning 6 mattresses. y= 30 (6) +15 -> y= 180+15

y=195.    B: y= 28(6) +21 -> y= 168+21 -> y= 189

C: $6 are saved for using company B.

Step-by-step explanation:

Recall that a probability mass function defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k

In this case we have the event  

“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.

Then we have 2 possible events, either the computer is right or not.

Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function

This gives the probability that k computers are wrong at the same time.