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Determine whether it is possible to find a circumscribable, isoceles "true" trapezoid (in which the parallel sides are not congruent) that has each of the following properties. Justify the answer
a) A diagonal bisects an angle of the trapezoid.
b) The trapezoid is cyclic
c) The diagonals are perpendicular to each other
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
A hat contains n coins, f of which are fair and b of which are biased to land on heads with a probability of 2/3. A coin is drawn from the hat and tossed twice.
What is the maximum that Ernesto should be willing to pay to play this game if he wants to be sure that on average, if he plays very many times, he shouldn't lose money?
Solve this linear problem graphically and determine optimal quanitities of A, B, and value of Z.
Find the unit price and profit functions.
Chemistry: Delta Systems The element cesium (Cs) freezes at 28.4?, and its molar enthalpy heat of fusion is AHfus=2.09 Kj/mol
A production center is available for 8 hours a day in a factory. It is comprised of several rotary parts and the worker operating it, is required to lubricate these rotary parts regularly each day.
Suppose that X1 and X2 are Gaussian random variables with means µ1 and µ2 respectively. Assume that µ1 ≠ µ2. The variance for each of the two random variables is σ2. Find the value of x for which fx1(x) = fx2(x).
Graphical Probability and Graphical Cumulative Probability. A fair coin is tossed 10 times. Let X be the number of tails observed.
The displacement s cm of the end of a stiff spring at time t seconds is given by: s = a (e^-kt) sin 2πft. Determine the velocity and acceleration of the end of the spring after 2 seconds if a = 3, k = 0.75 and f = 20.
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).
The equation x - 3 ln x = 2 has exactly two solutions A and B, with 0
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