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Let r be the radius on the incircle of tri ABC and a,b,c be the radii of the excircles opposite vertices A, B, and C, respectively. Ilustrate the fact that 1/r = 1/a + 1/b + 1/c. Also, write a proof of this.
A new drug cures 80% of the patients to whom it is administered. It is given to 25 patients. Find the probabilities that among these patients, the following results occur.
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
Calculating The Probability For a Normal Random Variable. The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observ..
List the elements in A U B U C. (they are suppossed to be upside down U"s ) State A U (B U C). (the U in between the b, c is the wrong way).
What is the probability that two cards drawn from a deck are both aces?. Two cards are drawn at random from an ordinary deck of playing cards. The first is not replaced before the second is drawn. What is the probability that:
State the null & alternative hypotheses in words
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.
Using Excel to graph, prove whether the following equation could possibly be an identity or determine if it is definitely not an identity.
Compute the Wronskian of the given set of functions, then determine whether the function is linearly dependent or linearly independent: x^2 - x, x^2 + x, x^2, all x
Suppose that f is continuous on [a,b]. Prove that f is integrable, i.e., ( the integral symbol with b at top and a at the bottom) f exists.
The probability of event B given event A is P(B|A)=P(AandB)/P(A) The probability of event A given event B is P(A|B)=P(Aand B)/P(B)
The answer to Spanning sets, Determine spanning sets for each of the four fundamental subspaces associated with the matrix
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