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3 years ago

Given: △PRS, RS=10 m∠P=45°, m∠S=60° Find: Perimeter of △PRS

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

The law of sines can be used to find the missing side lengths.

... RP = sin(60°)/sin(45°)·10 = 10√(3/2) ≈ 12.247

... PS = sin(75°)/sin(45°)·10 ≈ 13.660

Then the perimeter is

... perimeter = RS + RP + PS

... = 10 + 12.247 + 13.660 ≈ 35.91 . . . .units

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2 years ago

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2 years ago

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4.) The time X (minutes) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform dis

Jet001 [13]

Answer:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

And using the cumulative distribution function we got:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

The probability that preparation is within 2 minutes of the mean time is 0.134

Step-by-step explanation:

For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:

$X \sim Unif (a= 20, b =50)$

The cumulative distribution function is given by:

$F(x) = \frac{x-a}{b-a} , a \leq X \leq b$

The expected value is given by:

$E(X) = \frac{a+b}{2} = \frac{20+50}{2}=35$

And we want to find the following probability:

$P(35-2 < X 35+2) = P(33< X< 37)$

And we can find this probability on this way:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

And using the cumulative distribution function we got:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

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3 years ago