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Sedaia [141]
3 years ago
5

"Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant

that the next car begins to pass that point. Let X = the time headway for two randomly chosen consecutive cars on a freeway during a period of heavy flow (sec). Suppose that in a particular traffic environment, the distribution of time headway has the following form.f(x) = k/(x^7) ; x > 1 0 ; x<1a) Determine the value of K for which f(x) is a legitimate pdfb) Obtain the cumulative distribution functionF(x) = [ Blank ] ; x > 1 0 ; x < 1c) Use the cdf from (b) to determine the probability that headway exceeds 2 sex. (Round your answer to three decimal places.)Use the cdf from (b) to determine the probability that headway is between 2 and 3 sec (round your answer to three decimal places)d) Obtain the mean value of headway and the standard deviation of headway. (Roun to nearest 3 decimal places)mean [ blank ]standard deviation [ blank ]e) what is the probability that headway is within 1 standard deviation of the mean value

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer:

Detailed explanation of the answer is given in the attached files. Please have a look.

Step-by-step explanation:

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Answer:

the two graph depicting proportional relationships are the top right and bottom left graphs

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8 0
3 years ago
Let U=5i-9j and V=-8i+8j. find U-V
liraira [26]
U-V\\&#10;5i-9j-(-8i+8j)=0&#10;\\5i-9j+8i-8j=0&#10;\\13i-17j=0 
is your final answer.
5 0
3 years ago
What is the tru solution to the logarithmic equation below? Log4[log4(2x)]=1
zaharov [31]

\log_4(\log_42x)=1

Take both sides as powers of 4:

4^{\log_4(\log_42x)}=4^1\implies\log_42x=4

Do it again:

4^{\log_42x}=4^4\implies2x=(2^2)^4=2^8\implies x=2^7=128

3 0
3 years ago
3 5/6 + 2 2/3 equals
attashe74 [19]

Answer:

Equals 6 1/2

Step-by-step explanation:

You need to add 3 and 2 first. then Put 5 over 6 and 2 over 3 and add them together

4 0
3 years ago
12. (07.06 LC) A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x −
Goshia [24]

ANSWER

15 {x}^{2} + 22x - 5

EXPLANATION

It was given that, the length of the rectangular building is

(3x + 5) \: meters

and the width of the is

(5x - 1) \: meters

The area of a rectangular building is calculated using the formula for finding the area of a rectangle.

A = l \times w

Since the dimensions are given in terms of x, the area is also a function of x,

A(x) = (3x +5 )(5x - 1)

We expand to get,

A(x) = 3x(5x - 1) + 5(5x - 1)

A(x) = 15 {x}^{2}  - 3x + 25x - 5

A(x) = 15 {x}^{2} + 22x - 5

meters square

8 0
3 years ago
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