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What is the importance of studying economics [15 Marks]


What is the grammatical concept that can be used to explain the changes in the form of the verb to be in "am" and "were"

A card is drawn from a deck, then replaced, and a second card is drawn. Find the probability of selecting

  1. two pictures card
  2. a black card and an ace card
  3. a diamond and a king
  4. a lettered card and a number card
  5. a spade and a club

A clothing company produces men’s jeans. The jeans are made and sold with either a regular cut or a boot cut. In an effort to estimate the proportion of their men’s jeans market in Chilanga City that prefers boot-cut jeans, the analyst takes a random sample of 212 jeans sales from the company’s two Chilanga City retail outlets. Only 34 of the sales were for boot-cut jeans. Construct a 90% confidence interval to estimate the proportion of the population in Chilanga City who prefer boot-cut jeans.


A random sample of 10 students contains the following observations, in hours, for time spent studying in the week before final exams.


28 57 42 35 61 39 55 46 49 38

Assume that the population distribution is normal


(i) Find the sample mean and standard deviation


(ii) Test, at the 5% significance level, the null hypothesis that the population mean is 40 hours against the alternative that it is higher


Six years ago Olwethu lent Happy R150 000 on condition that he would pay her back in nine years time. The applicable interest rate is 15,5% per year, compounded monthly. Happy also owes Olwethu another amount of R250 000 that he has to pay back six years from now for a loan that earned interest at 16,4% per year, compounded semi-annually. Happy asks Olwethu if he an settle both his debts three years from now. The total amount that Happy will have to pay Olwethu three years from now is

Discuss how enterprise risk management has revolutionized e-commerce today


A sample of 40 children from Kafue state showed that the mean time they spend watching television is 28.50 hours per week with a standard deviation of 4 hours. Another sample of 35 children from Chilanga showed that the mean time spent by them watching television is 23.5 hours per week with a standard deviation of 5 hours. Using a 2.5% significance level, can you conclude that the mean time spent watching television by children in Kafue state is greater than that for children in Chilanga? Assume that the standard deviations for the two populations are equal [10 marks] Question 


A rectangular box with a square base and no top is to have a volume of 108 cubic inches. Find the dimensions for the box that require the least amount of material.


Write an application for a furniture company; the program determines the price of a table. Ask

the user to choose one for pine, 2 for oak, or three for mahogany. The output is the name of the

wood chosen as well as the price of the table. Pine tables cost $100, oak tables cost $225, and

mahogany tables cost $310. If the user enters an invalid wood code, set the price to zero. Save

the file as Furniture.cs


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