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There are three cards in a box. Both sides of one card are black, both sides of one card are red, and the third card has one black side and one red side. We pick a card at random and observe only one side.
a) If the side is black, what is the probability that the other side is also black?
b) What is the probability that the opposite side is the same color as the one we observed?
Ben has a cellphone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200 Ben is charged $0.35 per minute. Create a piecewise function that accurately represents Ben's charges based on his cellphone plan.
consider de quadratic function yaxsup2bxca. use the mathematical and graphical analyses to deterine the equation of the
How many more permutations will there be in comparison to the number of combinations?
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Determine the variance of Y1-Y2
How large is the sample space for all ways the three teams can be chosen when the number of employees on each project are as follows.
Evaluate the following double integral by using polar coordinates. I = ∫∫D 1 - x2 - y2 dA, where the region D is the quarter unit disc x2 + y2 ≤1 in the first quadrant.
Find parametric equations and a parameter interval for the motion of a particle starting at the point (3,0) and tracing the top half of the circle x2 + y2 = 9 two times.
A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity. For example, the function f(x)=(x^2 +1)/((2x+3)(x-5)) has a vertical asymptote at x=5 For each of the followin..
Find the equilibria algebraically. Apply the Stability Test/Slope Criterion A each of the equilibria you found in (a). What can you conclude?
simulate n 103 outcomes from the modely -2 x epsilonwhere x u0 1 and epsilon n0 0.12 independently. from your
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