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Nadusha1986 [10]
2 years ago
13

Please help me on this problem !

Mathematics
1 answer:
Rashid [163]2 years ago
8 0

Answer:

x = 5 , y = 5\sqrt{3}

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values.

sin30° = \frac{1}{2} , cos30° = \frac{\sqrt{3} }{2} , then

sin30°= \frac{opposite}{hypotenuse} = \frac{x}{10} = \frac{1}{2} ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

and

cos30° = \frac{adjacent}{hypotenuse} = \frac{y}{10} = \frac{\sqrt{3} }{2} ( cross- multiply )

2y = 10\sqrt{3} ( divide both sides by 2 )

y = 5\sqrt{3}

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Step-by-step explanation:

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b)  0.7275

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x is what we are looking for [in the problem]

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b)

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No more than 2 people means P (x≤2).

This is essentially

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Thus,

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948

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