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Construct the circle through the excenters of triangle ABC. How is its center related to the circumcenter and incenter of triangle ABC?
Using the standard inner product in R^3, find two unit vectors that are orthogonal to u=(3,-2)
Probability from stem and leaf plot, The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Calculate the standard deviation
Find the gradient and the intercept of the following linear equation.
The personal savings of the Young Saver Club were normally distributed with a mean of $775 and a standard deviation of $88
What is the probability that those three segments can form a triangle? Probability of Forming a Channel
Find the slope and the equation of the tangent line to the graph of the function at the given value of x.
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
Find the critical value at the 0.05 level of significance for a goodness of fit test if there are 6 categories?
Using expeccted value to find a fair bet in five card stud. If casino five card stud were fair, how much should it pay to a player who bets $10 and gets a full house versus a dealer who gets two pair?
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
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