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3 years ago

Free points 30

Mathematics

1 answer:

Tanzania [10]3 years ago

7 0

Answer:

1 because then he would eat 6 in 6 hours .-.

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At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a

morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = $\dfrac{15}{120}=0.125$

As we know the poisson process, we get that

$P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda$

So, for exactly one car would be

P(n=1) is given by

$=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599$

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

$0.2599\times 18=4.6798$

We will find the traffic flow q such that

$P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr$

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

$P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%$

Hence, a) 4.6798, and b) 19.8%.

7 0

3 years ago

20 out of 50 rolls of a number cube resulted in a 2 being rolled.Based on this imformation, if the cube was rolled 220 times,how

jolli1 [7]

Answer:

88 rolls of 2.

Step-by-step explanation:

By proportion that would be 220 * 20/50

= 220 * 0.4

= 88.

3 0

2 years ago

What is the relationship between the number of vertices in each polygon and the number of isosceles triangles?

melisa1 [442]

no. of vertices = no. of isosceles triangle

5 0

2 years ago

Read 2 more answers

Can you please help me

Sholpan [36]

Answer:

b 78

Step-by-step explanation:

because the area is what you get

in the equation

b 78

5 0

3 years ago

Please, please, please, please help

Alexeev081 [22]

Answer:

Step-by-step explanation:

6 0

2 years ago

Free points *30*

Free points 30