1. In the figure, m DE = 106 degrees and m BC = 62 degrees. The diagram is not to scale.

1 answer:

8 0

For question 1, the formula for that is m1= 1/2(a-b). 106 being A and 62 being B. You should get m1=.5*(106-62) which equals B.22

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Assume that the business makes a profit with probability 0.8 in the first year. For each year thereafter, the business makes a p

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Answer:

The probability that the business makes a profit in exactly two of its first three years is 0.628.

Step-by-step explanation:

Given : Assume that the business makes a profit with probability 0.8 in the first year. For each year thereafter, the business makes a profit with probability 0.9 if it made a profit in the previous year, and with probability 0.2 if it did not make a profit in the previous year.

To find : What is the probability that the business makes a profit in exactly two of its first three years?

Solution :

Let X be the event that the business makes profit.

Y be the event that the business doesn't .

The business makes a profit with probability 0.8 in the first year.

For each year thereafter, the business makes a profit with probability 0.9.

It did not make a profit in the previous year is 0.2.

According to question,

The business makes a profit in exactly two of its first three years which is given by, XXY, XYX, YXX

So,

$P(XXY)=0.8\times 0.9\times (1-0.2)$