Q3:A bus route on a city is scheduled for 30 min headways. The route has 5 stops along the route.Calculate the number of berths that are required for each bus stop on this route. The designnumber of boarding is 12 and the design number of alighting is 10. All buses that are travellingon this route have one single door on the front. Assume clearance time is 15 seconds, and thatmaximum allowable probability of bus queuing is 10%. All bus stops are a far-side stop.In addition, construct a time schedule for this bus route based on the running times givenbelow. Assume minimum layovers are 7 min at each end or 10% of running time, whichever isgreater. The first bus from A to E should leave at 8:00 am. The schedule should cover the timeblock from 8:00 am to 10:00 am.Segments travel times areA-B: 5 min, B-C: 20 min, C-D: 10 min, D-E: 15 minE-D: 15 min, D-C: 12 min, C-B: 22 min, B-A: 5 min

Given: In 1st case( Back door use ) No of birth required = 23 In 2nd case (Front door use )No of…

Answered: Q3: A bus route on a city is scheduled…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Jerry is considering opening a new ice cream store at a certain location on State Street in Madison. Jerry conducts some analysis and determines that a given location is acceptable only if the number of pedestrians passing the potential location averages more than 100 per hour. To check if this location is acceptable, Jerry records the number of pedestrians observed for each of 40 hours. Jerry finds that the average number of pedestrians that pass the potential location during each of the 40 hours he was observing, is 105.7 per hour. Jerry assumes that he knows the population standard deviation to be 16. Can Jerry conclude at the 1% significance level that the potential location for the ice cream store is acceptable? a. What is the correct set of hypotheses? Answer: Ho: u = 100 and H1: u> 100 v b. Determine the p-value Answer: 0.0122 c. Interpret the results Answer: There is not enough evidence d. Jerry is concerned with committing a Type II error. Determine the probability of Type II…
A huge pencil bag contains 40 pencils of two different shades, 4B and 6B. Initially, there are x numbers of 6B pencils in the bag. If 45 more 6B pencils are put in the bag, the probability of randomly picking a 6B pencil now will be quadruple that of the previous probability of picking a 6B pencil. With the given information, evaluate the original number of 6B shade in the pencil bag.
Urgent Care is organized in to 4 department: Registration (Reg), Waiting (Wait), Treatment (Treat), and Payment & Check Out (PCO). For all patients who receive treatment at the Urgent Care, the expected time (in minutes) per patient needed in each of the departments: Reg. Wait. Treatment PCO 10 15 30 3 or 2 All patients enter and register at the registration cubicle. After registering, 10% of the patients walk out without waiting and seeing the physician for treatment. However, still they have to walk through the PCO & return the admissions slip. These patients need only 2 min at PCO (instead of 3 min). No waiting and treatment time for patients who walk out. Simulate the total time spent in the Urgent care for the first patient. Total time spent by Patient 1 at the Urgent Care is . RN: 0.05 Hint: Need to check (simulate) whether a patient, after registering( 10 min), walks out or not. O 2 min O 12 min O 10 min O None of these
2. Consider the function y(x) = 5x over the interval [0, 10]. (a) If the points A(0, y(0)), B(5, y(5)), and C(10, y(10)) are on the curve represented by the above function, find the slope of the lines (secants) AB, and AC, respectively. (b) If x represents time and y represents the displacement of a particle moving along a line, what is the physical meaning of your results to part (a)? (c) Now consider a point D(10 – h, y(10 – h)) on the curve represented by the given function, find the slope of the line DC. (d) As h → 0, what is the limiting value of your result to part (c)? (e) What is its physical meaning of your result to part (d) if again x represents time and y represents the displacement?
2016 86 109 101 131 18 157 Electronics 300 з30 132 261 Fashion Supermarket 616 801 376 463 Other Mar Apr May target May 1st to 15th Number of 1,838 2,389 3,046 457 transacting agents
Mateo believes that completely cutting caffeine out of a person's diet will allow them more restful sleep at night. He randomly selects 8 adults to help him test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days and then cut back to no caffeinated bevarages for an additional 28 days. During each period, the participants record the number of nights of restful sleep that they had. The following table gives the results of the study. Test Mateo's claim at the 0.05 level of significance. Give answers to 4 decimal places as needed. Number of Nights of Restful Sleep in a Four-Week Period 15 With Caffeine 21 20 22 24 18 21 24 20 26 26 22 21 23 27 23 Without Caffeine a) The normal probability plot showed the differences follow a normal distribution and the boxplot showed no outliers. b) Test the claim (1) Determine the null and alternative hypotheses. Enter correct symbol and values Ho: H₁: (2) Type of test: (3) a = (4) Test statistic (to) = p-value =…

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