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3 years ago

2b - 19 = 11 Show explanation

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

7 0

Answer:

2b=11+19

2b=30

b=15

heyyyyyyyy guys

sergiy2304 [10]3 years ago

5 0

2b-19 = 11

+19 on each side

2b = 30

÷2 on each side so b is by itself

b=15

hope that helped^^

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kramer

Answer:

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Step-by-step explanation:

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3 years ago

From the set {5, 15, 23), which of the values can be substituted for m to make the

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Answer:

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3 years ago

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Answer:

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2 years ago

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

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

Step-by-step explanation:

Since we have given that

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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%.

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3 years ago

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Artyom0805 [142]

Answer:

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Step-by-step explanation:

Are you sure that z + 2+ z is correct? x and y do not appear here.

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2(-4) + 2, or -6.

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3 years ago