X/2 is the same thing as 1/2x
Answer: height = 6, radius = 8, Volume = 401.92
Explanation:
Height = 6 given
Find radius:
Use Pythagorean’s theorem to find the side of the right triangle:
a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 10^2 - 6^2
b^2 = 100-36
b^2 = 64
b = 8
And since length b is also the radius of the circle then radius = 8
Find volume:
V = pi x r^2 x h/3
V = 3.14 x 8^2 x 6/3
V = 3.14 x 64 x 2
V = 401.92
We have to find the expected value for the PlayBall lottery.
The price of the ticket = $1
Prize amount = $250
If a player wins, he will be winning $249 as the price is not paid back along with the prize amount. He is spending $1, getting back $250, so the net amount he is getting back is $249.
Now we have to find the probability of winning and losing.
Number of letters from A to T = 20
Number of digits from 0 to 9 = 10
Probability of picking up the same letter that was picked on that day = 1/20
Probability of picking up the same number that was picked on that day = 1/10
Thus, the Probability of picking up the same letter and same number that was picked on that day =
Thus, the probability of winning = 1/200
The probability of losing =
The expected value E for the PlayBall lottery will be:
Thus, the option C gives the correct answer