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3 years ago

8

Two trains start from towns 256 miles apart and travel towards each other on parallel tracks. They pass each other 1.6 hours lat

er. If one train travels 10 mph faster than the other, find the speed of each train.

1 answer:

Alecsey [184]3 years ago

5 0

One train is going 85 mph and the other 75 mph

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Can any body give answers

gogolik [260]

Answer:

P = 40

Step-by-step explanation:

if half of P is equal to 20 then two halves would be 40 (20+20)

4 0

3 years ago

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

Select the correct answer from each drop-down menu.

german

5 is a coefficient. A coefficient is a number multiplied by a variable.

(2y+13) is a factor. It can be multiplied by 8 to get an extended answer.

-1 is a constant. A constant is a number that does not change.

Hope this helps!

7 0

3 years ago

Read 2 more answers

Tony Stark is trying to improve his Iron Man suit by increasing its power. One modification will cost $350 million, of which the

statuscvo [17]

69 Nicce elon musk would be proud

7 0

3 years ago

Read 2 more answers

The ratio of boys to girls who play soccer in Mr. Fraser’s class is 14:6. If there were 400students in the school, how many boys

ollegr [7]

Answer:

280

Step-by-step explanation:

Set up a ratio to solve.

Mr. Fraser's class has 20 soccer playing students, and 14 are boys.

14/20 = x/400

Cross multiply. 20x= 5600

Divide by 20 to solve

x= 280

5 0

2 years ago