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A new apartment complex advertises that it will give away three mopeds by a drawing from the first 100 students that sign a lease. Four friends are among the first 100 to sign. What is the probability that at least one of them will win a moped? (Round your answer to three decimal places.)
A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at 1/4 cubic meter per minute, and there is 1 meter of water at the deep end.
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
How do you explain why vectors QR and RQ are not equivalent? Explain when the elimination method for solving a system of equations is preferable to the substitution method.
Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value for the following:
Prove the triangle inequality starting with: |V+W|^2. You must use Re (less than or equal to) | | and the Schwarz inequality.
Show that log(r), where this is log base 10, is irrational when r is a positive rational that is not an integral power of 10
The arrival rate for a certain waiting line system obeys a Poisson distribution with a mean of 05. unit per period. It is required that the probability of one or more units in the system not exceed 0.20.
What are the cylindrical coordinates of the point whose rectangular coordinates are x = - 4 , y= 2, and z = 4?
Perform the indicated operation - Find the product. (x 3 - 5x 2 -1) 7x 2
A manufacturer estimates that if x units of a particular commodity are produced, the total cost will be C(x) dollars, where
Construct a formal proof which shows that the sentence below is a theorem of predicate logic. *the E's are existential quantifiers (usually designated by backwards E's). the & are "and". Do not use quantifier negation rules.
A line passes through the point (6, -6) and has a slope of -3. Write an equation for this line in (x, y) coordinates. Write equations for the vertical and the horizontal lines passing through the point (6, 1) in (x,y) coordinates.
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