Answer:
$20
Step-by-step explanation:
Bin A: Bin B: Bin W:
white ball: 20% $1: 75% $8: 5/6
black ball: 80% $7: 25% $500: 1/6
first we can calculate the expected return of bins B and W:
expected return if the ball is black = ($1 x 75%) + ($7 x 25%) = $2.50
expected return if the ball is white = ($8 x 5/6) + ($500 x 1/6) = $90
expected return of the game = (expected return of a black ball x probability of choosing a black ball) + (expected return of a white ball x probability of choosing a white ball) =($2.50 x 80%) + ($90 x 20%) = $2 + $18 = $20
Answer:

Step-by-step explanation:
We know that
, because
.
Now, angle 15° or 195° is not an important angle which can be solve by a given table like 30°, 45° or 60°. This means we have to use the calculator to find the more exact value, which is

Answer:
Therefore,
.......Equation
Angelica's Brother's age is 11 years old.
Step-by-step explanation:
Given:
Let the current age of Angelica's Brother be 'x' years old
Angelica's current age is 13 years old,
According to given condition,
Therefore the Equation will be,

On solving this equation we get

Therefore,
Angelica's Brother's age is 11 years old.
Therefore,
.......Equation
Angelica's Brother's age is 11 years old.