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Bimonoids. Let us go back to the ideas that led to the denition of a monoid, but make a small change. Suppose that X and Y are two mathematical objects of the same sort (two sets, two rings, etc.), and we consider the family of all homomorphisms among them. What structure does this system have?
Probability using Bayes theorem. An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides to order a seismological test to see if there is oil in the ground.
suppose that a connected planar simple graph with edges and vertices contain no simple circuit of length 4 or less.
a ski-lift that runs to the top of a hill has a rise to run ration of 1/2. the horizontal distance from the bottom of the lift to the center of the mountain is 5000ft. how high is the hill?
What is the temperature of the coffee after 16 minutes?
Sketch all the nonisomorphic, simple graphs that have 5 vertices and 5 edges.
A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.
Explain how we arrive at the formula for Simpson's rule (standard formula) using the Lagrange Interpolating Polynomial of degree 2. Ignore the error term, and do not compute any integral.
What is the sum of the preceding probabilities, and why is it less than 1.0?
One number is two less than another. Use a rational expression to represent the sum of the reciprocals of the two numbers.
a plane inclinded at an angle fo 45 degrees passes through a diameter of the base of a cylinder of radius r. Find the volume of the region within the cylinder and below the plane.
Determining initial population, maximum population of fruit flies placed in a half pint milk bottle - word problem and Evaluate the initial population
velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance, d traveled during this period. (Use M6 to get the most precise estimate. Round the answer to two decimal places.)
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