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4 years ago

PLEASE HELP I WILL MARK!!

Mathematics

1 answer:

Rina8888 [55]4 years ago

8 0

answer is D

Explamation:

given points are (7,9) and (12,11)

$mid \: point \: of \: x = \frac{x1 + x2}{2 } = \frac{7 + 12}{2} = 9.5 \\ midpoint \: of \: y = \frac{y1 + y2}{2} = \frac{9 + 11}{ 2} = 10$

therefore the mid point is (9.5,10)

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3 years ago

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2 years ago

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3 years ago

Data collected at Toronto Pearson International Airport suggest that an exponential distribution with mean value 2,725 hours is

Rzqust [24]

Answer:

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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:

$P(X=x)=\lambda e^{-\lambda x}, x>0$

And 0 for other case. Let X the random variable of interest:

$X \sim Exp(\lambda=\frac{1}{2.725})$

Solution to the problem

We want to calculate this probability:

$P(X >2)$

And we can calculate this with the complement rule like this:

$P(X>2) = 1-P(X$

And using the cdf we got:

$P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480$

8 0

3 years ago