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Harlamova29_29 [7]
3 years ago
12

Approximately what percentage of iq scores falls between 70 and 130?

Mathematics
1 answer:
ohaa [14]3 years ago
5 0
About 95% of scores fall in this range
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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
Determine if the angles are greater than (>), less than (<), or equal (=) to each other.
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  • Opposite side to <WYX=WX
  • Opposite side to <XWY=XY

Here

  • WX=12
  • XY=15

As

  • WX<XY

\\ \sf\longmapsto

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11. An ice-cream cone and it's dimensions are shown in the diagram.
Mashutka [201]

Answer:

i donnt know sorry

Step-by-step explanation:

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Which measurement is closest to the volume of the cone in cubic inches? 6in 16 in
Nookie1986 [14]

Answer:

it problely 16 is close

Step-by-step explanation:

it dipens where the numeber is place at

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Calculator display for 7/12
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Answer:

7/12=0.583333333333

Step-by-step explanation:

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