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4 years ago

13

I don't understand how to work this out, can someone please help me??

1 answer:

Anarel [89]4 years ago

5 0

To solve this, we need to use the law of sines...SinA/a = SinB/b = SinC/c

if we think of this as a triangle...the other side of the 55 degrees is our ∠A (35°)...find this by 90 - 55 = 35. Let side a = X. Side c = 4 and ∠C = 90°

now let's do some math...

sin90 / 4 = sin35 / x (multiply both sides by x)
xsin90 / 4 = sin35 (multiply both sides by 4)
xsin90 = 4sin35 (divide both sides by sin90)
x = 4sin35 / sin90
x = 2.29

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Answer:

a) 0.0821

b) 0.0111

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Step-by-step explanation:

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The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

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$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

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