Answer:
6:30
1:5
4:20
3:15
2:10
Step-by-step explanation:
im pretty sure these are correct
Answer:
0.0786
Step-by-step explanation:
It is given that Bartholemew had drawn the replacement of 160 tickets.
There are five tickets = [0, 0, 0, 1, 2]
Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.
Since the probability of the drawing 1 out of 5 tickets is given by, 
So the binomial with the parameter of n = 160 and p = 0.2, we get
P (it turns up on exactly 32 draws) = P(X = 32)
Therefore,

= 0.0786
#2:
Find the total surface area of the capped cylinder.
2 times the area of the base would be 2[pi*(3 cm)^2, or 18pi.
The circumference of the base is C = 2pi*r, which here is 6pi.
The area of the sides is C times height, or 6pi*(11 cm) = 66pi cm^2
Add this to the 18pi cm^2 previously found.
Total area of cylinder, including top and bottom, is 84 cm^2.
The area for one side is S^2 where S is the length of one side.
The area for one side = 1/2^2 = 1/4 square foot.
A cube has 6 sides. Total surface are = 1/4 x 6 = 1 1/2 square feet.
Volume of a cube is S^3
1/4^3 = 1/64 cubic foot.