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OleMash [197]
3 years ago
13

which expression uses the greatest common factor and the distruibituve property to write 28 + 12 as a product? A. 2(14+6) B. 8(2

0 + 4) c. 4(7 + 3) D. 7(4 + 5)
Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0
C. 4(7+3) because when you distribute you end up with 28+12. 4*7=28 4*3=12
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Which is the y-intercept of a line that has a slope of -3 and passes through point (0,-7)
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Answer:

(0, -7)

Step-by-step explanation:

The y-intercept is the point on the line where x = 0 (AKA where the line crosses the y-axis).

Here, the y-intercept is literally given within the question as (0, -7).

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What is the equation of a horizontal line that passes through the point (-3, 4)?
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Since the points are ( -3,4 ) it passes through 4 in the y axis.

Meaning it will pass through 4 which is C.

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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
4 years ago
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sasho [114]

Answer:

-12.90, -12.55, 10.25, 10.75, 12.50

Step-by-step explanation:

this is from least to greatest

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Answer:

16

Step-by-step explanation:

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