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This number system is an extension of the real number system. Any polynomial equation has n complex roots, in general, in the complex number system. For example, the equation x2 + 1 = 0 has no real roots, but it has two complex roots given by +I and -I, where I is the "imaginary unit" given by the "square root" of -1. The complex number system is an extension of the real number system, just as the real number system is an extension of the rational numbers (numbers of the form of a ratio of two integers). Would you say that imaginary numbers really "exist"? What about, for that matter, the irrational numbers, which complete the real number system? (The ancient Greeks were surprised to find out that the square root of two is an irrational number, and that not all numbers can be expressed as the ratio of two integers.)
The J.P. Atkins Company will soon be introducing a new product. Estimates have been made of the monthly profit that would be generated by this product for each of four alternative values of the monthly production rate, as shown below.
Chi square test
Find the probability that they will have a rating between 230 and 260
Calculate the probability.
Calculating probabilities of a dice game. Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $9.00 if you succeed and you lose $2.00 if you fail.
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.
The population of a community is known to increase at a rate proportional to the number of people present at time t
Use augmented matrices
Describe the cost C(x), in millions of dollars to inoculate x % of the Canadian population against a particularly virulent strain of flu
Two boxes of brazils are mathematically similar, their lengths are 12cm and 24cm. The surface area and volume of the smaller box are 250cm2 and 240cm2 respectively.
Define the variables, determine the slope and vertical intercept, and write an equation to model this data and evaluate the table of values of earning using the given data.
Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail
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