You toss two number cubes. If a sum of 7 or 11 comes up, you get 7 points, if not you lose 2 points.
2 answers:
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Answer: a) -$0.19, b) -$111.72 .
Step-by-step explanation:
Since we have given that
Number of free throws = 434
Number of throws made by them = 390
Amount for making the next 2 free throws = $40
Amount otherwise he has to pay = $169
a) Find the expected value of the proposition.
Expected value of success in next 2 free throws =
Expected value would be
b) If you played this game 588 times how much would you expect to win or lose?
Number of times they played the game = 588
So, Expected value would be
Hence, a) -$0.19, b) -$111.72
Answer:
CE = 17
Step-by-step explanation:
∵ m∠D = 90
∵ DK ⊥ CE
∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK
In the two Δ KDE and KCD:
∵ m∠KDE = m∠KCD
∵ m∠DKE = m∠CKD
∵ DK is a common side
∴ Δ KDE is similar to ΔKCD
∴
∵ DE : CD = 5 : 3
∴
∴ KD = 5/3 KC
∵ KE = KC + 8
∵
∴
∴
∴
∴
∴ KC = (8 × 9) ÷ 16 = 4.5
∴ KE = 8 + 4.5 = 12.5
∴ CE = 12.5 + 4.5 = 17