A spinner has five equal portions colored orange, red, blue, yellow, and green. What are the odds against spinning a red or an o
1 answer:
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or can be written as
This is a question about the composition of functions and how to get a domain function.
Given and
.
We will form (b o a)(x) and then determine the domain.
<u>Step-1</u>
Replace each appearance of x in b(x) with .
Thus,
<u>Step-2</u>
To be defined, the value under the radical sign must not be negative. Therefore, the domain of are processed as follows.
Both sides added by 3.
Both sides divided by 3.
Thus, the domain of is
or can be written as
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Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,
Answer:
And we can use the cumulative distribution function given by:
And for this case we can write the probability like this:
And then the final answer for this case would be
Step-by-step explanation:
For this case we define our random variable X "price of gasoline for a city in the USA" and we know the distribution is given by:
And for this case the density function is given by:
And we want to calculate the following probability:
And we can use the cumulative distribution function given by:
And for this case we can write the probability like this:
And then the final answer for this case would be