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two friends leave 2.1 miles apart along the same road. If they walk toward each other at rates that differ by .5mph and meet 36 minutes later, how fast is each person walking?
Use partial decomposition to integrate. (2x^2-x-20)/(x^2+x-6 ). (sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t)
Verify the Gauss' Divergence Theorem and Calculate the single, double and line integral - MATH2000 Find the surface area of S.
Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?
Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
The diameters of Douglas firs grown at a Christmas Tree Farm are normally distributed with a mean of 4 inches and a standard deviation of 1.5 inches. What proportion of the trees are expected to have diameters greater than 5 inches?
Use your simulation results to determine the probability of obtaining a defective phone for each simulation if an outcome of 1 or 2 is considered to be a defective phone, showing all work.
an object is thrown upward from the top of a 64-foot building with an initial velocity of 48ft per second, which implies that the position function is s = -16t squared + 48t +64 where the time t is measured in seconds.
If one gallon of paint has a volume of approximately 4000 cubic cm, what is the maximum number of whole gallons of paint that can be poured into the bucket?
A jar contains m+n tickets, numbered 1,2,...,n+m. A set of size n is drawn. If we let X be the number of tickets drawn, whose numbers exceed each of the numbers of those remaining, compute the probability mass function of X.
A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag
Statistical procedure for developing a mathematical equation.
A rabbit and a turtle have a foot race. The Turtle receives a 100 foot head start. The rabbit is tens times as fast as the turtle. How far must the rabbit run to catch the turtle?
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