1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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:

You might be interested in
How are dot plots, bar graphs, and histograms used to analyze data?
cestrela7 [59]
<span>Dot plots, bar graphs, and histograms are visual representations of data. They present data in a way that makes it easier to analyze and compare data. They allow understanding data with ease by visually showing relations, trends and other useful data</span>
7 0
3 years ago
A 50-gallon tank is filled with a 40% ethanol solution. How much solution should be drained but and replaced with an 80% ethanol
DIA [1.3K]

How do you create your equations when working on a mixture word problem?

Let's try to think about the general form of a word problem involving mixtures.

In general, we have the following scenario:

a merchant sells two kinds of products (coffee, sweets, etc).

we know the unit prices for both kinds of products and for the final mixture

p

1

US dollars per pound for the first kind of product,

p

2

US dollars per pound for the second kind of product

p

m

US dollars per pound for the mixture

we know the total quantity formed by the mixture of the two products (

q

pounds)

we have to find out the quantities of each product needed to form the mixture

(here we have the variables:

x

denoting the quantity of the first kind of product and

y

denoting the quantity of the second kind of product)

Now, we have sufficient information to work out the equations.

First, we know that the sum of the two quantities is

q

pounds, which gives us the first equation:

x

+

y

=

q

Second, we know that the sale price is the product of quantity and unit price, which gives us the second equation:

p

1

x

+

p

2

y

=

p

m

⋅

q

Now, we have a system of two linear equations that can be easily solved by substitution.

3 0
2 years ago
Plz help will be marked BRAINLIEST! <br> Thanks
blagie [28]

Answer:

a) a + c = 90

d) a + b + c + 30 = 180

e) The angles marked a and b are vertical

f) The angles marked a and c are complementary.

Step-by-step explanation:

A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.

Hope this helps! Have a wonderful rest of your day!

<em>-kiniwih426</em>

6 0
3 years ago
Read 2 more answers
25000 rounded to the nearest ten thousand
kozerog [31]

Answer:

30000

Step-by-step explanation:

You round up because it is 5 or < making the 5 a 0 and the 2 a 3. Bringing in the extra 0's makes it 30,000

3 0
3 years ago
Read 2 more answers
Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50
Vladimir [108]

Answer:

d = 48t will represent the distance 'd' traveled in 't' hours.

Step-by-step explanation:

Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.

Speed during this journey was constant.

Jason traveled 40 mi in 50 minutes or \frac{5}{6} hours from Detroit to Ann Arbor.

By the formula,

Speed = \frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}

Speed = \frac{40}{\frac{5}{6}}

           = 48 mi per hour

If he travels 'd' miles in 't' hours then by the formula of speed,

48 = \frac{d}{t}

d = 48t

7 0
3 years ago
Other questions:
  • After drawing a line segment, what is the second step in constructing its perpendicular bisector?
    6·1 answer
  • Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
    12·1 answer
  • If Annie had 70 soybeans in 6 months how many with she have by 2 years help plz
    6·2 answers
  • Which data value has the highest frequency? 1 1/6 3 1/6 3/8 5/8
    13·1 answer
  • . Which problem has a remainder of 3? *
    14·1 answer
  • 10 squares out of 25 are shaded yellow. What percent are the yellow squares.....
    8·2 answers
  • If u know the answer PLZZhelp me I’m struggling
    14·2 answers
  • 127°<br> 37°<br> Х<br> Calculate the size of angle x.<br> angle x =
    11·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST AND GIVE 5.0 STAR RATING
    7·2 answers
  • Answer this Question
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!