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BaLLatris [955]
2 years ago
15

Peter and Mary take turns throwing one dart at the dartboard. Peterhits the bulls eye with probabilitypand Mary hits the bullsey

e with probabilityr.Whoever hits the bullseye first wins. Suppose Peter throws the first dart.(a) What is the probability that Mary wins
Mathematics
1 answer:
EastWind [94]2 years ago
6 0

Answer:

P(Mary) = (1 - p) * r

Step-by-step explanation:

Given

p \to Peter hits

r \to Mary hits

Required

The probability that Mary wins

From the question, we understand that Peter throws the first.

If Mary is to win, then Peter has to lose his throw

Using the complement rule, the probability that Peter misses is:

p' = 1 - p

So, the probability that Mary wins is:

P(Mary) = p' * r

This gives:

P(Mary) = (1 - p) * r

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murzikaleks [220]

The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

<h3>What are Trigonometric functions?</h3>

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\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\

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1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

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x = √6

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x = 3√3 / 3

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x = 45°

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x = 7

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x = 14

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x = 11/2

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x = √5

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x = 30°

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x = 2

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Learn more about Trigonometric functions:

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5 0
1 year ago
I need help with one
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Your goal here is to determine the value of x.

Use the principle of similar triangles:

 x is to 12 as 6 is to 8:  

 x       6
--- = ----
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Therefore, 8x = 72, and x = 9 (answer)

5 0
3 years ago
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