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LUCKY_DIMON [66]
3 years ago
9

Larry earns $11.25/hour selling televisions. He also earns 4.5% commission on his sales. What is his

Mathematics
1 answer:
monitta3 years ago
4 0

Answer:

C) $573.75

Step-by-step explanation:

We can come up with the equation of this Gross Weekly pay as:

P(t)=11.25t+0.045S

Where P is the amount Larry will get paid, t is the time worked and S is the amount of sales he generated that week.  This was derived from the fact that 11.25 is the slope and 0.045S is the y-intercept.  By plugging in those values we have:

P(35)=11.25(35)+0.045(4000)=573.75

C) $573.75

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Answer:

thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)

Step-by-step explanation:

denoting A= a piece is defective , Bi = a piece is defective from the i-th supplier and Ci= choosing a piece from the the i-th supplier

then

P(A)= ∑ P(Bi)*P(C) with i from 1 to 3

P(A)= ∑ 5/100 * 24/100 + 10/100 * 36/100 + 6/100 * 40/100 = 9/125

from the theorem of Bayes

P(Cz/A)= P(Cz∩A)/P(A)

where

P(Cz/A) = probability of choosing a piece from Z , given that a defective part was obtained

P(Cz∩A)= probability of choosing a piece from Z that is defective = P(Bz) = 6/100

therefore

P(Cz/A)= P(Cz∩A)/P(A) = P(Bz)/P(A)= 6/100/(9/125) = 5/6 (83.33%)

thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)

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