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Show that the system of equations
2x + y + z = -6a2x + y + (b +1)z = 4bx + 3y + 2z = 2a
Has a unique solution except when b = 0 and b = 6.
If b = 0, show that there is only one value for a for which a solution exists, and find the general solution in this case.
Discuss the case when b = 6.
Interpret your solutions in terms of the kernel and image of the linear transformation T: o^3 --> o^3 represented by the equations.
discover that a certain prescription drug has an average price of $40 for $20 pills with a standard deviation of $5. Using this information, deduce with 95% accuracy where the national average cost of 20 pills lies
Calculating the local maximum and minimum.
Calculate the coefficient of multiple determinations
Write a linear regression equation for these data and forecast how much money Robert will win if he spends $28.
Compute the probability based on the distribution.
Determine the warranty period, The project managers of a television manufacturing company plan to determine a warranty period for their 46" flat screen TV's so that only less than 4% of the time a failure would happen during the warranty period
Use an ANOVA with alpha=.05 to determine whether there are any significant differences among the three treatments.
The median age at first marriage for females increased from 24.5 years in 1995 to 25.1 years in 2000 (U.S. Census Bureau, www.census.gov). Let 1995 be year 5 and 2000 be year 10.
Probability Based on Order and Random Selection, Four couples, each consisting of one man and one woman, are seated at a circular table. Assuming that each different order is equally likely,
Relationship between the variables
Find the best unbiased point estimate for the population mean weight of the packages received by the parcel service.
Take 4900 draws from this distribution. Graph the histogram & give the mean and variance of this sample. (Hand in only the histogram and the results for mean and variance).
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