So each bar contains 6 and she has 20 so 6 times 20=120
pyramid volume=legnth times width times height times 1/3
v=base times height times 1/2
v=1 times 2 times 1/3
v=2/3
volume of 1 pyramid is 2/3 cubic inches
divide 120 by 2/3 to find out how many pyrimds will fit into amount given
120/1 divide by 2/3=120/1 times 3/2=360/2=180
she can make 180 pyramids
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.
Basically you know that the 2 wholes from both sides cancel out.
Set up the equation, 5/8 = 3/12 + 3/x
3/x = 5/8 - 3/12
Set them to have a common denominator, 3/x = 15/24 - 6/24
3/x = 9/24
Simplify 9/24 and you will get 3/8
3/x = 3/8
Obviously this means x = 8
The area of that figure is 2453.25 square feet
First, you would need to find the area of the rectangle
(L)(W)
(70)(30)
2100
Then since it is only a semi circle, the formula is pi*r^2/2
You find the area of a full circle first
(3.14)(15^2)
(3.14)(225)
706.5
Then you divide that by 2 since it’s only half a circle
706.5/2 = 353.25
Finally you add that by the area of the rectangle
2100 + 353.25 = 2453.25 square feet