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2 answers:
Answer:
3/2
Step-by-step explanation:
Since the shape is an equilateral triangle, all the angles are equal measure, 60° and all the sides are also of equal measure that was given, root3. So half of the triangle has length (root3)/2. The perpendicular drawn in the interior is also an angle bisector. The triangles created are 30°-60°-90° triangles. The sides of this special right triangle are in the ratio
s : 2s : sroot3
The longest side of the 30-60-90 triangle is given. The shortest side is half the length of the longest side. The length of the long leg is the short leg × root3
In this diagram the short leg is (root3)/2 .
(root3)/2 × root3 = 3/2
See image.
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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