Answer:
89
Step-by-step explanation:
Mean (Average) 48
Median 47.5
Range 66
Mode 72, appeared 2 times
Geometric Mean 41.680398411848
Largest 81
Smallest 15
Sum 480
Count 10
Recall that the area under a curve and above the x axis can be computed by the definite integral. If we have two curves
<span> y = f(x) and y = g(x)</span>
such that
<span> f(x) > g(x)
</span>
then the area between them bounded by the horizontal lines x = a and x = b is
To remember this formula we write
We have been given an equation of hyperbola
. We are asked to find the center of hyperbola.
We know that standard equation of a vertical hyperbola is in form
, where point (h,k) represents center of hyperbola.
Upon comparing our given equation with standard vertical hyperbola, we can see that the value of h is 6.
To find the value of k, we need to rewrite our equation as:

Now we can see that value of k is
. Therefore, the vertex of given hyperbola will be at point
and option D is the correct choice.