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3 years ago

6

2+1 5/4= 4 1/2 4 1/4 4 3/4 4 1/5

1 answer:

lisov135 [29]3 years ago

5 0

Pretty sure the correct answer is 1/5

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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

Parallel lines r and s are cut by two transversals, parallel lines t and u.

romanna [79]

Answer:

the answer is <u><em>2</em></u> on edge

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

1/4 es un decimal exacto

expeople1 [14]

Answer:

0.25

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel

larisa [96]

Answer:

225

Step-by-step explanation:

The sum total of all the angles is 7,740 degrees,

The formula for the interior angle is 180(n - 2) where n is the number of sides in the polygon

Set this equal to 7740

180 (n-2) = 7740

Divide each side by 180

180/180 (n-2) = 7740/180

n-2 =43

Add 2 to each side

n-2+2 = 43+2

n = 45

Each vertex hold 5 people so take n and multiply by 5

45*5 = 225

The Ferris wheel holds 225 people

3 0

3 years ago

Joey had eight pencils in the morning. He gave some pencils away to friends who needed them. To determine the number of pencils

pshichka [43]

Answer : Subtract

Hope it help you

Please mark me brianliest

6 0

1 year ago