Hiro has 5 kilograms of potatoes and 2 kilograms of onions
2 answers:
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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,
The probability that the business makes a profit in exactly two of its first three years is given by,
P= P(XXY)+P(XYX)+P(YXX)
P= 0.576+0.016+0.036
P= 0.628
Therefore, The probability that the business makes a profit in exactly two of its first three years is 0.628.
= 0.272
Answer:
and
Step-by-step explanation:
The correct equation is:
To solve by completing the square method.
Solution:
We have:
In order to solve by completing the square method we will carry out the following operations to the given equation to get a perfect square binomial.
We can write as:
[As
]
Adding both sides by
Taking LCD to add fraction.
Taking square root both sides.
Subtracting both sides by :
So, we have:
and
and
and
(Answer)