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Create an Euler diagram to determine whether the syllogism is valid or invalid:
Some nurses are patient.
Tracey is a nurse.
Therefore Tracey is patient
Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this product is 35 hours.
In any group G, some of the elements of G commute with all of the other elements in G. The set of all such elements in G is called the centre of G, and is denoted by Z(G).
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
Summation and proof using mathematical Induction - Provide a careful and complete proof by induction.
What would you do if supply exceeded demand? What if demand exceeded supply?
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
Probabilities from proportion tables, The following tables give the proportions of men and women in the U S population, and the proportions of men and women who have never married, in a recent year.
Suppose that each time that you buy a car, you choose between Ford and General Motors. Suppose that each time after the first, you stay with the same company with probability 2/3 and switch with probability 1/3
Calculating the probability values
For what values of a in R (real numbers) is the function (1+x^2)^a in L^2. Let L^2 be like in Lebesgue integration where the set of all measurable functions that are square-integrable forms a Hilbert space, the so-called L2 space.
Vectors : Identities and Dot Products, How could you use the properties of the dot product to prove the following identities
Probability : Expected Values and Probability Distributions - According to an automobile manufacturer, the company uses 3,000 lock-and-key combinations on it's vehicles
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