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What is the middle? If we have student scores of 4.0, 3.7, 3.7, 3.7, 1.0 the average would be 3.2 while the median and the mode would both be 3.7. Is one of them really in the middle? How dispersed is this list? That is, how much do the scores vary from the middle? Now, look at a routine you do everyday at work. Which matters most, the average time it takes to complete it or the most frequent amount of time? How would you go about finding the middle of the process? How much does the time spent on this routine vary?
Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals.
Are closures and interiors of connected sets always connected? (Look at subsets of R2).
Probability and computing the odds. Compute the odds of each of the following events and rank them in order of decreasing likelihood.
How many six-digit even numbers less than 200,000 can be formed using all the digits 1, 1, 2, 2, 3 and 5? How many permutations of the letters in the name ABBA are there?
Find the least number of cables required to connect eight computers to four printers to guarantee that four computers can directly access four different printers. Explain.
Random Variables : Probability, Mean and Variance, Let the continuous r.v.X denote the weight (in pounds) of a package. The range of weight of the package is between 45 and 60 pounds.
At a certain time of day, the angle of elevation of the sun is 64°. To the nearest foot, find the height of a pole whose shadow at that time is 13 feet long.
Each of the numbers 0 through 24 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
What is the rate of change of the radius of the lower ball at moment when the radius of the middle ball is 12in?
her wants to use 400 feet of fencing to enclose a rectangular area of 6400 square feet. what dimensions should the rectangle have?
the perimeter of a certain basketball court is 266ft and its length is 35ft more than the width. find the dimensions of the court
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