Solve four ninths plus nine eighteenths
1 answer:
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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:
<em>The width is 4 cm</em>
<em>The length is 12 cm.</em>
Step-by-step explanation:
<u>Area of a rectangle</u>
Given a rectangle of width W and length L, its area is calculated as follows:
The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:
L = 3W
Substituting into the formula of the area:
Simplifying:
Solving:
The width is 4 cm. Find the length:
L=3W=3*4= 12
The length is 12 cm.
The image attached shows the rectangle on the centimeter grid
