The average American consumes 8.8 liters of alcohol per year. Does the average college student consume less alcohol per year? St
1 answer:
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Notice that we have common denominator 2, so we can split the denominator to express the function in the form 
where
is the slope
is the y-intercept
Look what we have here, a linear function! We know that the domain and range of linear functions is the real numbers.
We can conclude that:
the domain of the function is all the real numbers
the range of the function is all the real numbers
Now, to find the inverse of our function, we are going to replace
with 
; then, we are going to interchange 
and and solve for :
The inverse of our linear function, is another linear function, so we can conclude that:
the domain of the inverse function is all the real numbers
the range of the inverse function is all the real numbers
where
Look what we have here, a linear function! We know that the domain and range of linear functions is the real numbers.
We can conclude that:
the domain of the function is all the real numbers
the range of the function is all the real numbers
Now, to find the inverse of our function, we are going to replace
The inverse of our linear function, is another linear function, so we can conclude that:
the domain of the inverse function is all the real numbers
the range of the inverse function is all the real numbers
There is a theorem that we can use to find the expected value of a random variable that is a sum of other random variables as follows.
If
, then 
.
In this case, let X = the number of accidents that will happen on any of those highways today,
are the numbers of accidents on each highway, respectively.
Then
.
Since are Poisson variates, their expected values are the parameters given, .3, .5 and .7.
So
Thus,
The answer is 1.5.
If
In this case, let X = the number of accidents that will happen on any of those highways today,
Then
Since
So
Thus,
The answer is 1.5.