<u>Given</u>:
Given that in a game a player draws and replaces a card from a deck 2 times.
The possible outcomes and payouts are given.
We need to determine the expected value for someone playing the game.
<u>Expected value:</u>
The expected value for someone playing the game can be determined by

Simplifying the values, we have;

Dividing the terms, we get;

Adding, we have;

Thus, the expected value for someone playing the game is $8
Answer:
Lateral surface area of the cylinder =
Step-by-step explanation:
Lateral surface area of he cylinder =
i.e area of side surface.


Lateral surface area of the cylinder =

L.S.A= 
L.S.A= 
The lateral surface area of the cylinder with radius 8 cm and height 5 cm is 
Answer:
4
Step-by-step explanation:
÷ 
(20-4) ÷ 4
16 ÷ 4=4
Answer:
Add 36. The factored form is
.
Step-by-step explanation:
A perfect square is a trinomial that factors into the form
. To find the value to add to it divide 20 by 2 and square it.
12/2 = 6
6*6 = 36
This means c=36. The factored form is
.
V=πr^2 h/3
Replace the given values in place of the expression