To deliver mulch, lawn and gardens charge $30 per cubic yard of mulch plus a $30 delivery fee. Yard depot charges $25 per cubic
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What I gather from the question is that has second moment
and variance
, and you're asked to find the expectation and variance of the random variable
.
From the given second moment and variance, we find the expectation of :
Expectation is linear, so
Using the same variance identity, we have
and
so that
Alternatively, we can use the identity
We have a circumference that is given by the following equation:
We can write this equation in its standard form as follows:
On the other hand, the linear function is given as the following table:
To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:
Finally the intersects are:
<span>
</span>
We can write this equation in its standard form as follows:
On the other hand, the linear function is given as the following table:
To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:
Finally the intersects are:
<span>
</span>