Suppose on a road trip to Texas you observe that three out of every four trucks on the road are followed by a car, while only one out of every five cars is followed by a truck. What fraction of vehicles on the road are trucks
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Suppose on a road trip to Texas you observe that three out of every four trucks on the road are followed by a car, while only one out of every five cars is followed by a truck. What fraction of vehicles on the road are trucks?
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- A series of thefts from your pharmacy area have occurred in the last six weeks. The director of security and the head of pharmacy services now require all persons working in the pharmacy department with access to drugs to clock out after their shifts and then go through a security check before leaving the building. Several employees have complained that they should be paid for this time because the security check is for the employer’s benefit. The director of security and the head of pharmacy services have responded that this security check is for the benefit of the employees to ensure that no one is unjustly accused. Is either party correct? If so, which one and why?Suppose that a fire station receives an average of 24 requests for fire pumps every hour. Each request causes a fire pump to be busy for an average of 20 minutes. How many pumps must the fire department have to have at most a 1% chance that it will be unable to respond to a request?A manufacturer of microwaves has discovered that male shoppers, on average have lower values for microwave ovens than female shoppers. Additionally, male shoppers attribute almost no extra value to an auto-defrost feature, while female shoppers, on average, value the auto-defrost feature. The manufacturer has determined that men value a simple microwave at $70 and one with autodefrost at $80, while women value a simple microwave at $80 and one with auto-defrost at $150. If there is an equal number of men and women, what pricing strategy will yield the greatest revenue?
- Consider the scenario of customers entering a store. If the mean arrival rate of customers is 10 customers per hour and each customer spends half an hour on average in the store, what is the average number of customers in the store at any given point of time?A proposal has been presented to the government of Newfoundland and Labrador that would build a new section of highway which would provide improved access for residents of a remote coastal area near Bonavista. The highway would be 16 kilometres in length. The initial proposal called for 7 toll booths, each staffed by an employee. But a subsequent proposal recommended replacing the employees with machines. Many factors must be considered because the intended employees are unionized. However, one of the government's concerns is the effect that replacing the employees with machines will have on the times the drivers spend in the system. Customers will arrive to any one toll booth at a rate of 9 per minute. In the exact-change lanes with employees, the service time is essentially constant at 5 seconds for each driver. With machines, the average service time would still be 5 seconds, but it would be exponential rather than constant, because it takes time for the coins to rattle around in…A manager is simulating the number of times a machine operator stops a machine to make adjustments. After careful study the manager found that the number of stops ranged from one to five per cycle and that each number of stops was equally likely. Using the random numbers 0.90 and 0.36 (in that order), determine how many stops for adjustments each of the next two cycles will have. The first cycle will have stops and the second cycle will have stops.
- (Physics: acceleration) Average acceleration is defined as the change of velocity divided by the time taken to make the change, as shown in the following formula: a = (v1 - v0) / t Here, v0 is the starting velocity in meters/second, v1 is the ending velocity in meters/second, and t is the time span in seconds. Assume v0 is 5.6, v1 is 10.5, and t is 0.5, and write the code to display the average acceleration. If you get a logical or runtime error, please refer https://liangpy.pearsoncmg.com/faq.html.The average time between the arrivals of the taxis arriving at the airport to pick up passengers has an exponential distribution, with an average of 10 minutes. a) What is the probability that a passenger will wait for the taxi less than 15 minutes? b) What is the probability that a passenger will wait for the taxi between 20 and 30 minutes? Solve using the cumulative distribution function H1Imagine you are in line to enter a brand new shopping mall and you are very much excited because after months of waiting, you will now be able to enter shopping malls after the pandemic. The stores comprising the mall are very popular. These stores include Converse, Gucci, Jansport, Fendi and all other popular brands, and so the demand to enter is very high. Security guards only allow one person through the doors at a time. As a result, the line and the wait are quite long. To add to the chaos, the waiting crowd is made mostly of frequent shoppers who are growing very impatient and holding up the line with their constant complains. Together, these factors affect the flow of customers into the shopping mall, just as electric resistance affects the flow of charges through a current. 1. The type of customers (patient or impatient) the line is made up of will determine how orderly or chaotic the shopping mall is. Most wires are made up of what type of material and why? Name some examples…
- Trucks using a single-server loading dock have a mean arrival rate of 14 per day. The loading/unloading rate is 19 per day. What is the probability that the truck dock will be idle? What is the average number of trucks waiting for service? What is the average time a truck waits for the loading or unloading service? What is the probability that a new arrival will have to wait? What is the probability that more than three trucks are waiting for service?Suppose you are running a construction company and are in the process of signing a new contract with a lumber supplier. Getting lumber to a work site on time is critical and based on two things. First is the effort exerted by the lumber supplier and second how fast the shipper of the lumber will get the lumber to the construction site which involves some randomness. The lumber supplier can exert a high or low level of effort. If they exert a high level of effort they will produce the lumber quickly and there is then a 75% chance the shipper can get it to the construction site on time, and only a 25% chance that the shipper will be slow, and the lumber will arrive late. If the lumber supplier exerts a low level of effort, they will take a long time to produce the lumber and there is no chance that it will ship on time. If the lumber supplier exerts low effort it costs them zero dollars, but if high effort is exerted then it costs six thousand dollars in extra resources. The lumber…Consider the video you just watched. The two pucks of equal mass did not move linearly (they came to a stop) after the collision due to the conservation of linear momentum. However, since the two pucks mutual center of mass does not coincide with either of the pucks velocity vectors, they have angular momentum. This becomes evident after the collision when due to conservation of angular momentum the two pucks spin around their mutual center of mass. Part A Suppose we replace both hover pucks with pucks that are the same size as the originals but twice as massive. Otherwise, we keep the experiment the same. Compared to the pucks in the video, this pair of pucks will rotate one-half as fast. twice as fast. one-fourth as fast. O at the same rate. four times as fast. O O O O O