Answer: 70% or .7
Step-by-step explanation: there are 10 people total who have a brother and 7 of those people have a sister so 7/10=.7
Answer:
44.3$
Step-by-step explanation:
187 + 1/10*187= 205.7$
250-205.7= 44.3$ left
Answer: 2.77
The expected value is positive, so you expect to gain on average $2.77 per draw.
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Explanation:
Define two events
W = winning = getting a card 4 or less
L = losing = getting 5 or higher
P(W) = probability of winning
P(W) = 12/52 since there are 12 cards that are four or less out of 52
P(W) = 3/13 for any suit of 13, there are 3 cards that are four or less
P(L) = 1-P(W)
P(L) = 1-3/13
P(L) = 13/13 - 3/13
P(L) = 10/13
V(W) = net value of winning
V(W) = 162
V(L) = net value of losing
V(L) = -45
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E(X) = expected value
E(X) = P(W)*V(W) + P(L)*V(L)
E(X) = (3/13)*162 + (10/13)*(-45)
E(X) = 36/13
E(X) = 2.76923076923077
E(X) = 2.77 rounding to two decimal places (to the nearest cent)
This game is in favor to the player since we got a positive expected value. A fair game would occur if the expected value was 0.
Answer:
Step-by-step explanation:
1). ∠1 and ∠2 are supplementary.
m∠1 + m∠2 = 180°
2). ∠1 and ∠2 are complementary angles.
m∠1 + m∠2 = 90°
3). If ∠1 and ∠2 are vertical angles,
m∠1 = m∠2 = 64°
4). ∠Q and ∠R are complementary angles.
m∠Q + m∠R = 90°
If m∠R = 73°,
m∠Q + 73° = 90°
m∠Q = 90° - 73°= 17°
5). m∠AED = 135°
a). Since, ∠AED and ∠AEC are supplementary angles,
m∠AED + m∠AEC = 180°
m∠AED = 152°
152° + m∠AEC = 180°
m∠AEC = 180° - 152° = 28°
b). m∠CEB + m∠AEC = 180°
28° + m∠CEB = 180°
m∠CEB = 180° - 28° = 152°
c). m∠FEC = m∠FEA + m∠AEC
= 90° + 28°
= 118°
