Sx + 3y = 5 S4x – 3y = -13 16. 15. 2x + 4y = 8 ( 5х + бу 3D 13 5x = 8 - 3y 17. [3y = 5 – 3x %3D 18. 2r + 4y = 8 2r + 4y = 8 S0.3x + 0.4y = 2.4 8x 4y = 0 19. 5x - 3y = 11 20. 0.5x + 0.3y = 2.2 ( Зх + бу 3D 12 21. 14y – 8 = -2r Jбу — 12 3 4x 22. l10x 15y = -30 S6x 23. {ár - 9y = 12 ( 4x – 8y = 5 24. (3x – 4.5y = -6 l6x – 12y = 10
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Q: How did I integrate improperly?
A:
solve the systems of equations by
elimination, if a solution exists.
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- John Swanson, president of Market Research Inc., has asked you to estimate the coefficients of the modelY = β0 + β1X1 + β2X21 + b3X2where Y is the expected sales of office supplies for a large retail distributor of office supplies, X1 is the total disposable income of residents within 5 miles of the store, and X2 is the total number of persons employed in information-based businesses within 5 miles of the store. Recent work by a national consulting firm has concluded that the coefficients in the model must have the following restriction:b1 + b2 = 2Describe how you would estimate the model coefficients using least squares.Suppose that in a certain chemical process the reaction time (in hours) is related to the temperature (°F) in the chamber in which the reaction takes place, according to the simple linear regression model where β0 = 5.23, β1 = -0.01, and σ = 0.09. If the temperature is 260°F, what is the probability that the reaction time is between 2.51 and 2.7 hours? Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.51 and 2.7 hours? If two independently observed reaction times for temperatures are 1° apart, what is the probability that the time at the higher temperature exceeds the time at the lower temperature?find the general solution ( homegeneous)
- The personnel department of a large corporation gives two aptitude tests to job applicants. From many years’ experience, the company has found that a person’s score for the first test, Y1, is normally distributed with μ1 = 50 and σ1 = 10. The scores for the second test, Y2, are normally distributed with μ2 = 100 and σ2 = 20. A composite score, Y, is assigned to each applicant, where Y = 3Y1 + 2Y2. To avoid unnecessary paperwork, the company automatically rejects any applicant whose composite score is below 375. If six individuals submit résumés, what are the chances that fewer than half will fail the screening tests? Hint: Use the fact that the sum of two independent normal random variables is also a normal random variable.create 2 sample word problems of chain rule of integration with solutionsA manufacturing company has been experimenting with a new additive that is used to reduce polluting effluents from its production facility. Test results suggest that if no additive is used, pollution levels are 3000 parts per million (ppm). For each pound of additive used per week, pollution levels are reduced by 0.49 ppm. The additive costs $30 per pound. The reason for experimenting with the additive is that a government agency is conducting weekly air quality tests in the vicinity of the production facility. Regulations state that if pollution levels exceed 2000 ppm, a fine is imposed. The fine is $1000 for each ppm by which the pollution level exceeds the 2000 ppm limit. If the company has budgeted $80,000 per week to spend on the additive and any pollution fines, how much additive should be purchased each week for use by the company? What is the resulting amount that the company is willing to pay in terms of weekly fines?
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