Items are inspected for flaws by two quality inspectors. if a flaw is present, it will be detected by the first inspector with probability 0.9, and by the second inspector with probability 0.7. assume the inspectors function independently.
a. if an item has a flaw, what is the probability that it will be found by both inspectors?
b. if an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?

0.63

0.97

Step-by-step explanation:

Given

Probability to detect the flaw by first inspector is 0.9

Probability to detect the flaw by second inspector is 0.7

(a)Probability that both inspector find the flaw

(b)Probability of finding flaw by at least one inspector is

P=1-Probability of not detecting the flaw by both inspectors

P=1-0.03=0.97

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4