Can someone please help me it would mean a lot thank you.
2 answers:
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Answer:
A
Step-by-step explanation:
So we have the two functions:
And we want to find (f/g)(x).
This is the same as:
So, substitute (2x+5) for f(x) and (x-8) for g(x). So:
Now, we want to find the domain.
Note that this is a rational function. The domain of a rational function is always all real numbers <em>except</em> when the denominator equals 0. This is because, remember, you can't divide by 0!
So, to find the domain restrictions, set the denominator equal to 0 and solve for x. So:
Solve for x. Add 8 to both sides:
So, our domain is all real numbers except for 8. We can check this, when x is 8, our function is 21/0, which is undefined.
Therefore, our answer is A.
And we're done!
Edit: Typo
Answer:
E
Step-by-step explanation:
The equation of proportion is
y = kx ← k is the constant of proportionality and
k =
Substitute the values from the table into the equation for k, that is
k = =
=
=
Answer:
And using the cdf we got:
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:
We know the variance on this case given by :
So then the deviation is given by:
And if we solve for we got:
The cumulative distribution function for the exponential distribution is given by:
Solution to the problem
And for this case we want to find this probability:
And using the cdf we got: