Mathematics: List the sides in order from the largest to the smallest. A. XY, YW, WX B. XY, WX, YW C. WX, YW, XY D. WX, XY, YW

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? We want this probability At most 3 hours?b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations? What is the probability that it is less than the mean value by more than one standard deviation?Step-by-step explanation:Previous conceptsThe exponential distribution is the probability distribution of the time between events in a Poisson...

List the sides in order from the largest to the

Ответ:

Erin1535

30.01.2022

Mathematics

Option (D)

Step-by-step explanation:

By applying Sine rule in the given triangle WXY,

$\frac{\text{SinW}}{\text{XY}}=\frac{\text{SinY}}{\text{XW}}=\frac{\text{SinX}}{\text{WY}}$

$\frac{\text{Sin59}}{\text{XY}}=\frac{\text{Sin82}}{\text{XW}}=\frac{\text{Sin39}}{\text{WY}}$

$\frac{\text{Sin59}}{\text{XY}}=\frac{\text{Sin82}}{\text{XW}}$

$\frac{\text{XW}}{\text{XY}}=\frac{\text{Sin82}}{\text{Sin59}}$

= 1.1489

XW : XY ≈ 1.15 : 1

$\frac{\text{Sin59}}{\text{XY}}=\frac{\text{Sin39}}{\text{WY}}$

$\frac{\text{XY}}{\text{WY}}=\frac{\text{Sin59}}{\text{Sin39}}$

$\frac{\text{XY}}{\text{WY}}=\frac{1.36}{1}$

$\frac{\text{XY}}{\text{WY}}=\frac{\frac{1}{1}}{\frac{1}{1.36} }$

$\frac{\text{XY}}{\text{WY}}=\frac{1}{0.7342}$

XY : WY = 1 : 0.7342

XW : XY : WY = 1.15 : 1 : 0.7342

Therefore, WX > XY > WY

Option (D). will be the correct option.

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Ответ:

Reward18

07.01.2021

Mathematics

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

$P(X 2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48$

At most 3 hours?

$P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667$

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

P(X 2.725 + 2*5.540) = P(X13.62) = 1-P(X

What is the probability that it is less than the mean value by more than one standard deviation?

P(X

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

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