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Let V be a vector space and u, v, w belong to V. rove that u-v, v-w, and w-u form a linearly dependent set.
Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
Find the probability that they will have a rating between 230 and 260
A can company reports that there were 3 breakdowns on its machine operator assembly line in the last thirty days. What is the probability that there will be more than two breakdowns tomorrow
Finding the difference of the side lengths of a triangle - Find the smallest possible value of BC - AB?
Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
Determine whether the statement is true or false. If it is true, explain why it is true. If false, give an example to show it is false.
Two trains leave stations 75 miles apart at the same time heading toward one another on parallel tracks. Train A is traveling 60 miles per hour, while Train B is going 65 miles per hour.
Provide probability distribution, histogram, and find the expected value of a coin that is tossed 3 times
Simple linear regression equation
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
Find the slope and y intercept of the line. Graph the line 7x-5y=35. Decide whether the given linear equations are parallel, perpendicular or neither. y=4x+9 y=-1/4x+5/4
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