Using a sixteen-sided number cube, what is the probability that you will roll an even number or an odd prime number? Round to th
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Answer:
Step-by-step explanation:
Remember that .
When you multiply powers with the same base, add the exponents. Do this in the denominator.
When you divide powers with the same base, subtract the exponents.
In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.
Now that we know the vertices of the surface
, we can parameterize it by
where
and 
. The surface element is
With respect to our parameterization, we have
, so the surface integral is
Now that we know the vertices of the surface
where
With respect to our parameterization, we have