Evaluate the following
"n\\sum i=1 (3\/2^(i-1))"
A local zoo wants to keep track of how many pounds of food each of its three monkeys eats each day during a typical week. Write a program that stores this information in a two dimensional 3 × 7 array, where each row represents a different monkey and each column represents a different day of the week. The program should first have the user input the data for each monkey. Then it should create a report that includes the following information: I. Average amount of food eaten per day by the whole family of monkeys. II. The least amount of food eaten during the week by any one monkey. III. The greatest amount of food eaten during the week by any one monkey. Input Validation: Do not accept negative numbers for pounds of food eaten.
What is the probability that two female students will be selected at random, one after the other, to participate in a research project from a class of 7 male and 3 female students?
Write a program that will predict the size of a population of red ants. The program should ask the user for the starting number of red ants e.g. 2,000,000, their average daily population increase as a percentage of current population e.g., 5%, and the number of days they will multiply e.g. 10 days. Use a do while to display the size of the population for each day. Draw a flow chart and write down a pseudo code before attempting this number. Input Validation: Do not accept a number less than two for the starting size of the population. Do not accept a negative number for average daily population increase. Do not accept a number less than one for the number of days they will multiply.
SMO makes hardware components in its factory in the UK and currently uses two machines to fill the components. A sample of 30 components from the first machine has a mean weight of 190 g and a standard deviation of 40 g. A sample of 40 packets from the second machine has a mean weight of 180 g and a standard deviation of 10 g. State the six-point procedure for hypothesis testing and test if the two machines are comparable in terms of putting the same amount in packets
The idea of buying a new PC machine to replace the older one arose at the last management team meeting. The older one would not be sold but could be used as backup if necessary. If SMO does decide to replace the older machines and buy new ones, the finance dept has indicated that the maximum monthly payment they could afford, based on current profit forecasts for the next six years, would be £2000 p.m. The Company’s bankers would be able to offer an interest rate of 4% to borrow the £95,000 cost of the new machine. What range of months would you recommend that the loan is taken over to keep within SMO’s budget?
Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 12 of the 57 boxes on the shelf have the secret decoder ring. The other 45 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?
You are considering an annuity which would offer payments $ 5000 at the end of every three months for 20 years. Interest is compounded quarterly at a nominal rate of 8.8%. Which of the changes would increase the amount that you would pay for this annuity today?
Bongeka purchased a new refrigerator and were expected to pay R1 684,00 five months ago and another
R1 323,00 in eight months’ time. She could not make the payment five months ago, but after receiving a
bonus at work, she rescheduled to repay the loan in two equal payments, the first due in two months and the
second due in five months’ time. The payment at month five will settle the debt, therefore, the settlement
date is month five. The debts and payments are subject to the same interest rate of 11,4% per annum,
compounded monthly.
@ 11,4% per year, compounded monthly
The value of each of the payments, rounded to the nearest rand, is equal to