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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)
Probability based on addition rule - Find the probability that a randomly chosen sold automobile from this sample is silver or an SUV?
You find that a random sample of five microwave ovens has a mean repair cost of $75 and a standard deviation of $12.50. At α = 0.01, do you have enough evidence to support the repairer's claim?
Using six-step critical value approach, at the 0.05 level of significance, is there evidence that population mean delivery time has been increased below previous population mean value of 25 minutes?
Public transportation and the automobile are 2 methods an employee can use to get to work each day. Samples of times recorded for each method are shown. Times are in minutes.
2 to every even-numbered card, with aces being 1s. Determine the frequencies of 0, 1, and 2. Use SPSS to get the value of test statistic and p-value.
Let C be the event that a diner gets the correct meal and let N be the event that a diner gets an incorrect meal. Find the probability that:
Probability of a flush. Poker player holds flush when all 5 cards in hand belong to same suit (clubs, diamonds, hearts, or spades).
Make a List of type of possible errors. Assume that you were interested in knowing the mean score for a certain quiz in a statistics class.
You are the production manager of a company. Parachutes are woven in your factory using a synthetic fiber purchased from one of four different suppliers. The most important outcome for parachutes is strength of the fabric.
Please use the regression procedure within Excel under Tools > Data Analysis to construct this equation.
What is the optimal strategy for producing 500 tons of newsprint pulp, 600 tons of packaging pulp, and 300 tons of print stock quality pulp at minimum cost?
Of the 1,4000 homemakers sampled, 420 were able to identify the brand by name. Estimate the value of the population proportion.
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