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A box contains three cards. One card is red on both sides, one card is green on both sides, and one card is red on one side and green on the other. One card is selected from the box at random, and the color on one side is observed. If this side is green, what is the probability that the other side of the card is also green?
If five angles of a heptagon have measures of 80, 85, 175, 90, and 140, and if the other two angles are congruent,what is the measure of each of the other two angles?
A population of animals oscillates sinusoidally between a low of 500 on Janary 1 and a high of 700 on July 1. Graph the population against time. Find a formula for the population P as a function of time, t, measured in months since the start of th..
Probability of a component failing, A component has a failure rate per hour of 4.5E-3. The failures are governed by the exponential distribution
Compute the test value
What size squares should be cut from each corner in order to maximize the volume of the box and what is the maximum volume of the box?
Find the equation of the tangent line in slope intercept form of the curve given by: Sand is being poured on a conical pile at the rate of 12 cubic feet per minute, the height of the pile being three times its diameter throughout. At what rate is t..
If the televison camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing in radians/s at that moment?
In what ways does a stem-and-leaf diagram differ from a histogram? Which diagram provides the most information and why?
Let I be an ideal of R and let S be a subring of R. prove that I(intersection)S is an ideal of S. ALSO, show by some example that not every ideal of a subring S of a ring R
Find the Fourier Transform ^U(k; t) of the solution U(x; t) of the heat equation
Let gamma be a closed rectifiable curve in C (Complex plane) and a is not an element of {gamma}. Show that for n>= 2 integral over gamma of (z-a)^-n dz = 0.
One month ago the ratio of nurses to doctors on a hospital staff was 3:5. Since that time two additional nurses joined the staff, no nurses left & the number of doctors remained the same. Find the ratio of nurses to doctors.
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