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Gelneren [198K]
3 years ago
8

Dougie's Donuts tracked the number of donuts each customer ordered for a few weeks.

Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

The interquartile range is 8.

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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
Grayson works in a department store selling clothing. He makes a guaranteed salary
MrRissso [65]

Step-by-step explanation:

a) $350 per week

20% commission on sales

For $925 in sales, commission is

20/100 × 925 = $185

Total earning = $350 + $185 = $535

b) For $x in sales, commission is

20/100 × x = 1/5 × x = x/5 or 0.2x

Total earnings = $350 + $ x/5 or $350 + $0.2x

4 0
3 years ago
Benny thinks of a number, subtracts 18 from it, and divides the difference by 3, the result is (-4). What is the number?
White raven [17]

Answer:

n=6

Step-by-step explanation:

(n-18)/3 = -4

multiply by 3

n-18 = -12

add 18

n = 6

7 0
3 years ago
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Point slope of y=3/4x-7
never [62]

Answer:

Step-by-step explanation:

7 0
3 years ago
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What is the distance between point P1 and P2?
julia-pushkina [17]
The rise is 1 and the run is 7
5 0
3 years ago
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