Amachine is used in a production process. from past data, it is known that 97% of the time the machine is set up correctly. furthermore, it is known that if the machine is set up correctly, it produces 95% acceptable (non-defective) items. however, when it is set up incorrectly, it produces only 40% acceptable items. a. an item from the production line is selected. what is the probability that the selected item is non-defective? b. given that the selected item is non-defective, what is the probability that the machine is set up correctly?

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.

triangle and cube

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet