Mathematics: The perimeter of a rectangular field is 380 yd. the length is 70 yd longer than the width. find the dimensions.

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...

The perimeter of a rectangular field is 380 yd. the

Ответ:

tiphannyk

03.01.2022

Mathematics

60 x 130

Step-by-step explanation:

| |

w+70 | | w+70

| |

add all the sides

2(w+70)+2w=380

2w+140+2w=380

4w+140=380

move the 140 to the other side of the =

4w=380-140

4w=240

divide both sides by 4

w=60

to get the length plug in 60 to w+70 to get 130 and width is just 60.

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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:

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