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Furkat [3]
3 years ago
8

PLEASE HELP 20 POINTS + BRAILYEST!!!

Mathematics
2 answers:
zubka84 [21]3 years ago
4 0

Answer:

  4 in

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides. Solve this problem by writing that relationship using the given information, then solving the equation for the missing side.

__

  5² = 3² + ?²

  25 = 9 + ?² . . . . . simplify

  16 = ?² . . . . . . . . . subtract 9

  4 = ? . . . . . . . . . . . take the square root

The missing length is 4 inches.

Kryger [21]3 years ago
3 0

\huge\green{\overline{\underline{\rm{\purple{꧁⫷ᴀɴsᴡᴇʀ⫸꧂ }}}}}

\large\green{\overline{\underline{\rm{\red{•••••••••••••••••••••••••}}}}}

5^2 = 3^2 + ( \:)^2

25 = 9 + (\:) ^2

16 = (\:) ^2

\sf \green {{=4}}

\large\green{\overline{\underline{\rm{\blue{•••••••••••••••••••••••••}}}}}

#CarryOnLearning

#LibreAngMatuto

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Answer:

Thus, the expected value of points for Derek and Mia are \dfrac{-1}{9} and \dfrac{1}{9} respectively.

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3.\ P(YG)=P(Y)\times P(G)\\\\P(YG)=\dfrac{1}{3}\times \dfrac{2}{3}\\\\P(YG)=\dfrac{2}{9}

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Now, we have that,

If two marbles are of same color, then Mia gains 1 point and Derek loses 1 point.

If two marbles are of different color, then Derek gains 1 point and Mia loses 1 point.

<h3>Also, the expected value of a random variable X is E(X)=\sum_{i=1}^{n} x_i\times P(x_i).</h3>

Then, the expected value of points for Derek is,

E(D)= (-1)\times \dfrac{4}{9}+1\times \dfrac{2}{9}+1\times \dfrac{2}{9}+(-1)\times \dfrac{1}{9}\\\\E(D)= \dfrac{-5}{9}+\dfrac{4}{9}\\\\E(D)=\dfrac{-1}{9}

And the expected value of points for Mia is,

E(M)= 1\times \dfrac{4}{9}+(-1)\times \dfrac{2}{9}+(-1)\times \dfrac{2}{9}+1\times \dfrac{1}{9}\\\\E(M)= \dfrac{5}{9}-\dfrac{4}{9}\\\\E(M)=\dfrac{1}{9}.

Thus, the expected value of points for Derek and Mia are \dfrac{-1}{9} and \dfrac{1}{9} respectively.

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