Question 2 It is assumed that there is a connection between X and Y variables in the form Y = aX³ + bx + c and that the sum of the coefficients a, b and c, which cannot take negative values in this connection, is 1. Write the linear programming problem that can perform the necessary operations to calculate the coefficients a, b and c in such a way as to minimize the sum of the absolute values of the errors between the measurements listed below and the predictions to be calculated with the formula above. NXY 1211 2332 315 4328 529
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- I need answer typing clear urjent no chatgpt used i will give upvotesProblem 1Human visual inspection is necessary in many quality engineering contexts and is naturallysubject to subjectivity. This is especially true for the inspection of solder joints on circuit boards,as there are numerous types of solder defects, as well as a degree to which a joint possessesone or more defect. Consequently, even highly trained inspectors can disagree on the status ofa particular joint. In a batch of 10,000 such joints, inspector A found 724 to be defective,inspect B found 751 to be defective, and 1159 of the joints were judged to be defective by atleast one of the inspectors. Suppose that one of the 10,000 joints is randomly selected.a. What is the probability that the selected joint was judged to be defective by neither ofthe two inspectors?b. What is the probability that the selected joint was judged to be defective by inspector Bbut not by inspector A?Y9
- Please do not give solution in image format thankuUse Laplace transform to solve I.V.P x = (-2 23 ) x, X(0) =QUESTION 4 Suppose the following are the seasonal indices for the first three quarters of the year for a quarterly series: Quarter Seasonal Index Q1 72.4 Q2 85.3 Q3 109.6 Remember that the seasonal indices should average 100 so you should be able to infer the seasonal index for Q4. Furthermore, suppose that the estimated coeffcients from a regression of the deseasonalized series on Time are given below: Coefficients Intercept 2,506 Time 71.3 If the original value of the series in a Q1 was 2,040, then what is the seasonally adjusted value? (please round your answer to 1 decimal place)
- Problem Statement: Consider a large solenoid with 712.3 loops/m that is oriented so that the central axis of the solenoid points along the x-axis. Additionally, you know that the conventional current running through the solenoid as a function of time: i(t) = cot², (1) where co=0.7A/s². You hold a small 5-cm-radius loop inside the solenoid so that its normal vector is given by n = (0.94) î+ (0.32) ĵ. (a) Qualitatively, draw a graph of the magnetic flux passing trough the small loop versus time. (b) What will be the absolute values of the EMF induced in the small loop at 1.3s?Computer SimulationQ)6. Which of the following is NOT a correct description of the PESTLE model? Group of answer choices “E” in the PESTLE model stands for “Economic”. The factors to consider is the positive or negative impact of the big five forces. “P” in the PESTLE model stands for “Political”. The factors to consider is the positive or negative impact of a given event such as the outcome of an election. “E” in the PESTLE model stands for “Environmental”. The factors to consider is the positive or negative impact of natural environment related concerns. “L” in the PESTLE model stands for “Legal”. The factors to consider is the positive or negative impact of a given change in legislation.
- Chapter 5. (M/M/s/K Model). Leia is responsible for 8 computers in the IT offices in a small business called DataWish. Each computer runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each computer for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would bel units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (p) Performance Measures c. If we assign a cost of waiting as $500 per week per computer and $800 per week of hiring Leia, what is the Total Time Cost per week cost of servicing the machines? PO (probability that sytem is empty) % dollars L (average units in system) units d. If DataWish decides to hire another individual to help Leia, what would the new Total Time Cost per…Chapter 5. (M/M/s/K Model). Leia is responsible for 8 computers in the IT offices in a small business called DataWish. Each computer runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each computer for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would be units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (p) % Performance Measures PO (probability that sytem is empty) L (average units in units system) La (average units waiting in queue) units W (average time in the weeks system) Wq (average time in the queue) weeks c. If we assign a cost of waiting as $500 per week per computer and $800 per week of hiring Leia, what is the Total Time Cost per week cost of servicing the…Y9