Answer:
22 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here sum = 3600° , then
180° (n - 2) = 3600° ( divide both sides by 180° )
n - 2 = 20 ( add 2 to both sides )
n = 22
<span>For the answer to this question,
Let x = depth of the gutter
then
18 - 2x = width of the gutter
Cross section area
A = depth x width
</span><span> = x(18 - 2x)
A = 18x - 2x^2
:
Axis of symmetry will give x value for max area:
x = -b/(2a)
x = -18/(2x(-2))
x = 4.5 inches is the depth for max area
</span><span>Max area: 4.5 * 9 = 40.5 sq/in
I hope my answer helped you.</span>
You made a mistake with the probability 
, which should be 
in the last expression, so to be clear I will state the expression again.
So we want to solve the following:
Conditioned on this event, show that the probability that her paper is in drawer 
, is given by:
(1) 
and
(2) 
so we can say:
is the event that you search drawer 
and find nothing,
is the event that you search drawer and find the paper,
is the event that the paper is in drawer 
this gives us:
Solution to Part (1):
if 
, then 
,
this means that
as needed so part one is solved.
Solution to Part(2):
so we have now that if = , we get that:
remember that:
this implies that:
so we just need to combine the above relations to get:
as needed so part two is solved.
