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about 19% of the population is hopelessly romantic, if two people are randomly selected what is the probablilty that both are hopelessly romantic.
You are the process improvement manager and have developed a new machine to cut insoles for the company's top-of-the-line running shoes.
How far is Jared's school from the grocery store? Round the answer to the nearest tenth.
In a classroom of children (13 boys and 12 girls), five students are chosen to go to the blackboard. What is the probability that no boys are chosen?
State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided.
Is empty set a symmetric relation? Prove or disprove.
In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.
Assuming the lifetime of the batteries is normally distributed; determine the number of days that at least 95% of the batteries will last beyond.
Automorphisms and Conjugation, Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g
Describe the first iteration--i.e. write down the formula for the next point x2 and the decision that has to be made. Solve Numerical Analysis and Root Finding
Let f be defined on the interval [0,1] by setting f(x)=0 if x is irrational, and if x=(m/n) rational where gcd(m,n)=1 set f(x)=n. Show that f is unbounded on every open interval in [0,1] and compute the Lebesgue integral of f over the interval [0,..
Probability questions with cards and unbiased dice, Suppose that you select two cards without replacement from an ordinary deck of playing cards.
Define a Fourier Transform. What are its properties and application areas ? Describe its application in signal processing.
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