ber of cars per hour The director of security wants to connect security video cameras to the main control site from five potential trouble locations. Ordinarily, cable would simply be run from each location to the main con- trol site. However, because the environment is po- tentially explosive, the cable must be run in a special conduit that is continually air purged. This conduit is very expensive but large enough to handle five cables (the maximum that might be needed). Use the minimal-spanning tree technique to find a minimum distance route for the conduit between the locations noted in the figure. (Note that it makes no difference which one is the main control site.) 9-35 Network for Problem 9-35 26 56 75 65 41 48 50 23 37 53 @ personal finance....html 1 Chap....docx Church bake sale....docx 27

ber of cars per hour The director of security wants to connect security video cameras to the main control site from five potential trouble locations. Ordinarily, cable would simply be run from each location to the main con- trol site. However, because the environment is po- tentially explosive, the cable must be run in a special conduit that is continually air purged. This conduit is very expensive but large enough to handle five cables (the maximum that might be needed). Use the minimal-spanning tree technique to find a minimum distance route for the conduit between the locations noted in the figure. (Note that it makes no difference which one is the main control site.) 9-35 Network for Problem 9-35 26 56 75 65 41 48 50 23 37 53 @ personal finance....html 1 Chap....docx Church bake sale....docx 27

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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The management at Massachusetts Savings Bank is always concerned about the quality ofservice provided to its customers. With the old computer system, a teller at this bank could serve,on average, 22 customers per hour. The management noticed that with this service rate, thewaiting time for customers was too long. Recently the management of the bank installed a newcomputer system, expecting that it would increase the service rate and consequently make thecustomers happier by reducing the waiting time. To check if the new computer system is moreefficient than the old system, the management of the bank took a random sample of 70 hours andfound that during these hours the mean number of customers served by tellers was 27 per hourwith a standard deviation of 2.5. Testing at the 1% significance level, would you conclude thatthe new computer system is more efficient than the old computer system?
In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 73% of the valves meet the specification, 21% are reground, and 6% are scrapped. Furthermore, assume that of those valves that are reground, 46% meet the specification, and 54% are scrapped. Given that a valve meets the specification, what is the probability that it was ground only once?
In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent.(a) If we wish to compute the probability thatxnumber of chips out of a production run of sizenaredowngraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that 5 chips out of a production run of 40 are downgraded. (c) Compute the probability that between 3 and 5 (inclusive)orbetween 2 and 8 (inclusive) aredowngraded. (d) Graph the probability mass function forxnumber of…
In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent. (a) If we wish to compute the probability that x number of chips out of a production run of size n are downgraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that between 3 and 5 (inclusive)or between 2 and 8 (inclusive) are downgraded. (c) Graph the probability mass function for x number of chips out of a production run of 10 aredowngraded.
In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 70% of the valves meet the specification, 20% are reground, and 10% are scrapped. Furthermore, assume that of those valves that are reground, 90% meet the specification, and 10% are scrapped. a) Find the probability that a valve is ground only once. b) Given that a valve is not reground, what is the probability that it is scrapped? c) Find the probability that a valve is scrapped. d) Given that a valve is scrapped, what is the probability that it was ground twice? e) Find the probability that the valve meets the specification (after either the first or second grind). f) Given that a valve meets the specification (after either the first or…
Use complementary slackness and the solution to its dual problem to find solution(s) to the primal LPP.
In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 74% of the valves meet the specification, 18% are reground, and 8% are scrapped. Furthermore, assume that of those valves that are reground, 88% meet the specification, and 12% are scrapped. Draw a tree diagram to represent the situation Find the probability that a valve is ground only once Given that a valve is not reground, what is the probability that it is scrapped? Find the probability that a valve is scrapped Given that a valve is scrapped, what is the probability that it was ground twice? Find the probability that the valve meets the specification (after either the first or second grind). Given that a valve meets the specification…
A rural county presently uses Asphalt A to pave its highways, but is considering using themore expensive Asphalt B (which is reported to be more durable). The two types of asphaltare tested using 200m test strips on five different two-lane highways. On each test strip, arandomly selected lane was paved with Asphalt A and the lane in the opposing direction waspaved with Asphalt B. It has been determined that it is more economical to use Asphalt B ifthe length of time before resurfacing is required (i.e. longevity) is at least 2.5 years longer onaverage than that of Asphalt A. Assume that the longevity of each type of asphalt is normally distributed. Using a 2% significance level and assuming that the data for the two types of asphalt at eachtest strip can be paired, determine if Asphalt B lasts at least 2.5 years longer than Asphalt Aon average. Location 1 2 3 4 5Asphalt A 11.2 9.0 10.7 11.4 8.5Asphalt B 18.8 11.7 19.9 19.0 13.4
Provide solution from the given problem on Pigeonhole Principle. Problem: In a room of 499 people, there exist two who share a birthday.
Use complementary slackness to find solution(s) to the dual LPP.
Company X has 10 employees, each placing an average of 20 minutes of long-distance calls per day. The average call lasts 5 minutes. It has been determined that 20% of the calls are made during busy hour. A total of 4 external phone lines are used to place the pool of calls. Calculate the traffic flow in Erlang during the busy hour.
Use the pigeonhole principle for (a)