Step-by-step explanation:
- To find the E(X) expected value, you come up with the different probabilities for each outcome
- your set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tails
- Each element has a probability of 1/8 so let x represent number of tails
- The E(x)=Summation (x times P(x))
- Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tails
- So you can expect to lose money in 1 game
- But as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games
<span>The correct answer is option B. i.e. Transitive property. According to the transitive property of equality, if 8=x and x= y then, y = 8. This is mainly used in algebra and this property is a part of equalities and inequalities.</span>
Answer:8sqrt 2 or sqrt 128
Step-by-step explanation:
We can use the Pythagorean Theorem. Since the ladder is leaning against the wall, it is the hypotenuse. It is also 4 feet away from the wall so 12^2-4^2=b^2 b^2=128 so b=8sqrt 2 or sqrt 128.
<span>Each Exterior Angle = (360 degrees) ÷ (Number of Sides)
Each Interior Angle = 180 - (360 / Number of Sides)
Therefore, since one angle is 4 times the other then,
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4 * (360 degrees) / (Number of Sides) = <span>180 - (360 / Number of Sides)
Number of sides = 10 (it is a decagon)
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