Answer:
b =
Step-by-step explanation:
To clear the radicals square both sides
=
( cross- multiply )
(6 - a)(8 + b) = b - 7 ← expand factors on left using FOIL
48 + 6b - 8a - ab = b - 7 ( subtract 48 from both sides )
6b - 8a - ab = b - 55 ( add 8a to both sides )
6b - ab = b - 55 + 8a ( subtract b from both sides )
6b - ab - b = 8a - 55, that is
5b - ab = 8a - 55 ← factor out b from each term on the left side )
b(5 - a) = 8a - 55 ← divide both sides by (5 - a)
b =
Answer:
The expected value for the player to play one time is -$0.05.
Step-by-step explanation:
The expected value of a random variable <em>X</em> is given by the formula:
The American roulette wheel has the 38 numbers, {i = 00, 0, 1, 2, ..., 34, 35, and 36}, marked on equally spaced slots.
The probability that the ball stops on any of these 38 numbers is same, i.e.
P (X = i) = .
It is provided that a a player bets $1 on a number.
If the player wins, the player keeps the dollar and receives an additional $35.
And if the player losses, the dollar is lost too.
So, the probability distribution is as follows:
<em> X </em>: $35 -$1
P (<em>X</em>) :
Compute the expected value of the game as follows:
Thus, the expected value for the player to play one time is -$0.05.