Let the token profit be X.
For a win, the profit is 2 tokens.
For a loss, the profit is -3 tokens.
The probability of a win is
<span><span>212</span>+<span>212</span>+<span>212</span>=<span>612</span>=<span>12</span></span>
the probability of a loss is
<span><span>612</span>=<span>12</span></span>
Setting up a probability distribution variable gives:
<span>E(X)=(−3×<span>12</span>)+(2×<span>12</span>)=−1<span>12</span>+1=−<span>12</span> token</span><span>
Therefore, on average, the player would expect to lose a half a token per game.</span>
<h3>
Answer: x = 25</h3>
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Work Shown:
We'll use the pythagorean theorem
a^2 + b^2 = c^2
7^2 + 24^2 = x^2
49 + 576 = x^2
625 = x^2
x^2 = 625
x = sqrt(625)
x = 25
The hypotenuse is 25 units long.
Note: the value of c is always the hypotenuse, while the order of 'a' and b doesn't matter.
Step-by-step explanation:
2×-5=-8 and 2×-5/8=-1.25
If you look closely, you can see that both angles b and the 43 degree angle together make a right angle. (You can tell this by the red line.) A right angle is 90 degrees. To solve this, all you would have to do is take the 90 (both angles combined) and subtract it by the number you already have (43).
Angle b = 47 degrees.
Hope this helps :)
