I only have 2 hours to do this can someone plz help

Fill in the blank to make the fractions equivalent 2/3 = Blank/15

kotegsom [21]

Answer: 2/3 = 10/15

8 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

Please help me I don't understand

sashaice [31]

Answer is B because the red has 2 columns and 7 rows that is how you get 2/7 And the blue has 3 rows and 5 columns making 3/5
If you multiply these together you get the doubled colored (red/blue over the total of squares)
6/35
The other way which most likely I think you should choose this way is D why?? Because there are out of the red are 3 out of 7 rows that are combined with blue and 2 out of 5 of the blue column are combined with red This makes the 3/7×2/5 = with the 6/35 (combined colors/total)

3 0

3 years ago

Jane needs to miss fewer than 1/6 of the words on her spelling list. If there are 18 words, how many can she miss? Explain.

rjkz [21]

She would have to miss 1 or 2 because 1/6 of 18 is 3 so less than 3 is 2 or 1

hope that helps!

3 0

3 years ago

Read 2 more answers

A bakery sold a total of 500 cupcakes in a day, and 83% of them were vanilla flavored. How many of the cupcakes sold that day we

Hoochie [10]

Answer:

415 were vanilla

Step-by-step explanation:

To solve we must first turn the percentage into a number and multiply that by the sum of 500.

83% = .83

.83 x 500 = 415

5 0

3 years ago