Find the slope (6, -2) (2, -6)

Mathematics

2 answers:

Anon25 [30]3 years ago

7 0

The slope is 1
____________

Harlamova29_29 [7]3 years ago

5 0

Answer:

-1/3

Step-by-step explanation:

I hope this helps!

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Huck and Jim are waiting for a raft. The number of rafts floating by over intervals of time is a Poisson process with a rate of

Harrizon [31]

Answer: 0.0081

Step-by-step explanation:

Let X be the number of rafts.

Given : The mean number of rafts floating : $\lambda=0.4$ rafts per day .

Then , for 7 days the number of rafts = $\lambda_1=\lambda\times 7=0.4\times7=2.8$ rafts per day .

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda_1}\lambda_1^x}{x!}$

Now, the probability that they will have to wait more than a week is given by :-

$P(X>7)=1-P(X\leq7)\\\\=1-(P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(5)+P(6)+P(7))\\\\=1-(\dfrac{e^{-2.8}2.8^{0}}{0!}+\dfrac{e^{-2.8}2.8^{1}}{1!}+\dfrac{e^{-2.8}2.8^{2}}{2!}+\dfrac{e^{-2.8}2.8^{3}}{3!}+\dfrac{e^{-2.8}2.8^{4}}{4!}+\dfrac{e^{-2.8}2.8^{5}}{5!}+\dfrac{e^{-2.8}2.8^{6}}{6!}+\dfrac{e^{-2.8}2.8^{7}}{7!})\\\\=1-0.991869258012=0.008130741988\approx0.0081$