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Use shells to find the volume of the solid formed by revolving the region bounded by the x-axis and y=4x-x^2 about the y-axis. Sketch the area. Include a typical rectangle.
Take 4900 draws from this distribution. Graph the histogram & give the mean and variance of this sample. (Hand in only the histogram and the results for mean and variance).
Probability & Statistics : Outcome of Dice Rolls, Two people play a game. A single die is thrown. If the outcome is a 2 or a 3, then player A pays player B $6.00.
There are 10 workers and 2 administrators in a company meeting room. Two people will be selected at random without replacement. The chance that the second person is a worker is:
water flows from a container at the rate of 2.5 litres per minute. The water flows into a tank that already holds 50 litres. How long in seconds is it before there are 765 litres of water to be in the tank?
Show that the points A(4, 1), B(2, -3), C(0, 3) cannot form an equilateral triangle. Draw the graph of the straight line 3x ?4y = 12. Find the equation of a line parallel to the x- axis and passing through the point (5, 7).
What is the future value if $4900 is invested for 3 years at an annual rate of 12% compounded monthly? What is the annual percentage yield (or effective annual rate) for a nominal rate of 7.3% compounded quarterly?
Find the probability of random co-incidence, if the probability to get a certain value in both studies was the same, I would expect to have (125/1389)*38=3.41973 data-points with a larger value than the largest value in my study
Solve the average cost function.
The three methods of solving linear systems covered are substitution, elimination, and graphing. There are examples posted on the solution field and in the attachment.
Draw a rectangular box that has P and Q as opposite vertices and has its faces parallel to the coordinate planes. Then find the coordinates of the other six vertices of the box and the length of the diagonal of the box
Why would we want to do this? Why not just use Newton's Interpolatory Divided Difference formula to get an nth degree interpolating polynomial? Write down the conditions required for the spline S(x) to fit the data and have 6 continuous derivative..
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
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