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Q1) Use Gauss-Jordan method to determine solution to following system of equations:
3x - 5y - 2z = -9
-4x + 3y + z = 11
8x - 5y + 4z = 6
2) U.S. exports to China have grown since 1991. In 1991, about 10 billion dollars of goods were exported to China. By 2001, this amount had grown to 19 billion dollars. Write linear equation explaining number of exports each year, with x = 91 representing 1991 and x = 101 representing 2001.
i) y = 1.11x - 108.3
ii) y = 0.9x - 71.9
iii) y = 0.9x + 82
iv) y = 1.11x - 71.9
Q3) Use echelon method to determine solution to following system of equations:
2x + y + z = 9
-x - y + z = 1
3x - y + z = 9
i) (2,1,4)
ii) (4,1,2)
iii) (3,0,3)
iv) (-4,3,0)
Drug sniffing dogs must be 95% accurate. A new dog is being tested and is right in 46 of 50 trials. Find a 95% confidence interval for the proportion of times the dog will be correct.
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Scores on a test are normally distributed with a mean of 60.9 and a standard deviation of 12. Find P81, which separates the bottom 81% from the top 19%.
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Compute the optimal production quantities for the company?
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Four properties are randomly selected from each neighborhood and the ratios recorded for each as follows:
In optimal solution, determinethe critical path?
The scores of college-bound senior men on the math part of the SAT followed a normal distribution with mean 527 and standard deviation 116.
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Utilizing jacobian method finding the probability density function. Utilizing either the CDF method or Jacobian method illustrate the probability density function of Y is given.
Calculate the value of the chi-square statistic and test whether all regions are statistically the same at 5% and 1% level tests.
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