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The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2.
Prove that if m is a real number and m, m + 1, and m + 2 are the lengths of the three sides of a right triangle, then m = 3.
Find the sum/difference as a product of sine’s or cosines.
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation here). This correctly results in INV(P)AP = [3 1; 0 3] which is in the form needed.
Probability Problem explained in this solution. Supose a pill exists with the property that one out of every 100 such pills contains a lethal amount of a substance, and that the other 99 are harmless. Caluclate how many people would be expected to..
Relationship between the variables
The different scenarios and their probabilities are An urn has 2 one dollar bills, one 5$ bill and one 10$ bill. A player draws one bill at a time with out replacing them until a ten dollar bill is drawn, then the game stops.
Probability : Percentage of Defective Chips and Normal Distribution, A student needs 12 chips of a certain type to build a circuit. It is known that 5% of these chips are defective.
A football is thrown downward from a window in a tall building. Its position at time t in seconds is s=16t^2+32t, where s is in feet. How long to the nearest tenth will it take the ball to fall 175 feet?
Could someone please show me how to solve this separable differential equation?
Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
Important information about Elliptic boundary value problem (lap) means the Laplacian Vrr means the second derivative of V with respect to r
There is a very famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls, what is its name?
A poll states that 30% of the workers in a large company have new desks. If 6 workers are selected at random, what is the probability that at least one worker has a new desk?
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