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In R2, let triangle ABC be a right triangle with right angle at angle C. Consider the altitude CH (it meets AB perpendicularly). Prove that |CH|^2 = |AH| * |BH|.
In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female?
Verify that each of the following are equivalence relations on the plane R^2 (where R are real numbers) and describe the equivalence classes geometrically.
Develop a joint probability table and show the marginal probabilities. What is the probability of a household whose income exceeds $40,000 and who rejects the offer?
Find how many ways are there of winning the World Series in exactly six games if the winning team wins the first game?
A boxing ring is in the shape of a square, 20 ft on each side. How far apart are the fighters when they are in opposite corners of the ring?
Probability values.
Important information about Statistics probability, Packages from packing machine have a mass, which is normally distributed with mean 200g and standard deviation 2g
The following model is proposed to describe population growth in a confined space. The excess of births over natural deaths causes a growth rate of a times the current number of individuals N.
Find the prime of function
Compute Dice Probabilities Solution Set, I roll two dice. Work out what the probability of achieving a 5 on either die
Calculate the standard deviation
De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.
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