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IceJOKER [234]
3 years ago
5

Iguel is keeping track of mileage to find out how many miles per gallon he gets in his vehicle.

Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

17 mpg

Step-by-step explanation:

divide 242.4 by 14 to get the answer

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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
The heights in cm of some pupils are
tatuchka [14]

The median is a halfway point in the set of data.

List the numbers in order from smallest to largest:

111, 129, 144, 149, 152, 162, 166, 171

Because there are an even number of values in the data set, find the two middle numbers, add them together and then divide by 2:

Median = ( 149 + 152 ) /2

Median = 150.5

4 0
4 years ago
The cost of an online video streaming service is $9.99 per
Art [367]

Answer:

$9.99*m=d

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Subtract these sets of matrix
IrinaK [193]
The procedure is to make the difference of the terms that occupy the same position (column and row):

| - 6    - 4 |      | - 5    5 |              | - 6 + 5      - 4 - 5 |          | -1      - 9 |
| 6        0 |  -   | - 4   -1 |     =       |   6 + 4       0 + 1 |    =    | 10        1 |
| 6        4 |      | 6    - 4 |              |   6 - 6        4 + 4 |          |  0         8 |

Answer: option B.

8 0
3 years ago
Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2. Find x.
Marizza181 [45]

Answer:

Step-by-step explanation:

12/(x+2) = 4/(x-2)

Cross-multiply to get:

12x-24 = 4x+8

8x = 32

x = 4

7 0
4 years ago
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