A bus travels between two cities A and B which are 100 miles apart. If the bus has a breakdown, the distance from the breakdown to city A has a uniform distribution over (0,100). There is a bus service station located 40 miles from A (between A and B) Find the expected distance from the breakdown location to the service station.
A bus travels between two cities A and B which are 100 miles apart. If the...
A bus travels between two cities A and B that are 100 miles apart.Two service stations are located at mile 30 and mile 70, as well as in the cities themselves. The bus breaks down on the road. Assuming the place of breakdown is uniformly distributed between the cities, what is the probability that it is no more than 10 miles to the nearest service station? What is the expectation of the distance to the nearest service station?
Two fire lookout stations are 21 miles apart, with station B directly east of station A. Both stations spot a fire. The bearing of the fire from station A is N35 E and the bearing of the fire from station B is N30 W. How far, to the nearest tenth of a mile, is the fire from each look out station? Distance from station A to the fire is __________ Distance from station B to the fire is __________
The distance between two cities is 100 mi. Is the number of kilometers between the two cities larger, smaller, or equal to 100? a) equal to 100 b) smaller than 100 c) larger than 100
Question D C. In Regular Bus City, there is a shuttle bus that goes between Stop A and Stop B, with no stops in between. The bus is perfectly punctual and arrives at Stop A at precise five minute intervals (6:00, 6:05, 6:10, 6:15, etc.) day and night, at which point it immediately picks up all passengers waiting. Citizens of Regular Bus City arrive at Stop A at Poisson random times, with an average of 5 passengers arriving every minute,...
the distance between cities A and B on a map is 10in. The distance from city C, is 8.25in, and the distance from C to A is 13in. If the bearing from A to B is N79°, the bearing from C to A. Round to the nearest tenth of a degree. The bearing from city C to city A is approximately N/S ( ° ) W/E The distance between cities A and B on a map is 10 in. The...
the ngun.mou Find the area of nearest tenth. 2 inin lo. 3. 10 cm 7 cm 10 cm ET 12 cm Solve. Round your answer to the nearest tenth. City B lI. A smaller commuter airline flies to three cities whose locations form the vertices of a right triangle. The total flight distance (from city A to city B to city C and back to city A) is 1400 miles. It is 600 miles between the two cities that are...
a train with a maximum speed of 60mph travels between two stations 5,192 ft apart. It has an acceleration rate of 4 ft/s^2 and requires a distance of 1584ft to stop from 60 mph. Sketch (a) acceleration- time, (b) velocity-time, (c) displacement-time diagrams and (d) determine the minimum running time between stations in seconds. Note: Train stops at all stations. Show all working out. (d) tmin =?
The attached Distances.xlsx file contains a spreadsheet with the pairwise distances in miles of the top 100 US cities by population. A preview of the spreadsheet is shown below. The first row and first column contain the city names using the following format city name comma space capitalized state abbreviation, e.g., Nashville, TN. Note that the very first cell of the spresheet, A1, is blank. Write a function called get distance that accepts two character vector inputs representing the names...
A metropolitan transportation authority has set a bus mechanical reliability goal of 3800 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3825 bus miles and a sample standard deviation of 225 bus miles. Complete parts (a) and (b) below. a. Is there evidence that the population mean bus miles is more than 3800 bus miles? (Use a 0.05...
A car moving with constant acceleration travels the distance between two cones placed 58.2 m apart in 2.97 s . Part A The cars speed as it passes the second cone is 25 m/s. What was its velocity as it passed the first cone? Part B What is the car's acceleration?