What’s the volume of the solid ?
2 answers:
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Answer:
Step-by-step explanation:
To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:
Let x =
10x =
100x = this is our perfect fraction, now we simplify later
100x - 10x =
90x = this is to confirm both fractions are equal
x is the same as as
as
but here x =
because a fraction has to have no decimals.
So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)
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