Answer:
$10.46
Step-by-step explanation:
Amount that can be won by Alexis ( xi ) = $0, $8 , $12
probability ( pi )
P( $0 ) = 13 / 52 = 1 / 4
P( $8 ) = 15 / 39 ( given that she wins this when an even number is drawn from three remaining decks )
P ( $12 ) = 1 - 15/39 = 24 / 39
<u>a) Alexis expected winnings per game </u>
= ∑ xi * pi = ( 0 * 1/4 ) + ( 8 * 15/39 ) + ( 12 * 24 / 39 )
= $0 + ( 120 / 39 ) + ( 288 / 39 ) = $10.46
Answer: square rectangle and Rhombus trapezoid
Step-by-step explanation:
Answer and Step-by-step explanation: The distance between 2 points is the distance of the straight line that passes through both points. It calculated using the following formula:
d =
1) For A (2,1) and B(4, -1)
d =
d =
d = 2
2) 5 =
25 = x² + 1
x² = 24
x = 2
3) d =
d =
d = 7
Set -x+7 = 3x+10
4x = -3
x = -3/4
y = 7.75