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tekilochka [14]
3 years ago
6

PY=2, HP=3, find HY Geometry

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

HY=\sqrt{5}\ units

Step-by-step explanation:

we know that

The triangle HPY is a right triangle (because the angle ∠HYP is a right angle)

Applying the Pythagorean Theorem

HP^2=HY^2+PY^2

substitute the given values

3^2=HY^2+2^2

Solve for HY

9=HY^2+4

HY^2=9-4

HY^2=5

HY=\sqrt{5}\ units

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In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

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Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

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If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

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3 years ago
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