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A 12 inch piece of wire is to be cut into two pieces. One piece is to be used to form a square and the other to form a circle. How should the wire be cut if the sum of the areas is to be maximized?
Conditional probability: suppose that if θ = 1, then y has a normal distribution with mean 1 and standard deviation σ, and if θ = 2, then y has a normal distribution with mean 2 and standard deviation σ. Also, suppose P r(θ = 1) = 0.5 and P r(θ = ..
Fit a linear regression model as in Q5, and plot your estimates for β0 and β1 as N increases, together with a line indicating their true values.
A car leaves Lima at noon traveling due West at 65 mph. At 2 PM, a car 300 miles south of Lima heads towards Lima at 70 mph. How quickly is the distance between the cars changing at 4 PM?
Along with giving us a technique to compute antiderivatives, integration by parts is very important theoretically. In this context, it can be thought of as a technique for moving derivatives off of one function and onto another. To see what we mean, ..
Obtain the matrix scatterplot (Graph Matrix plot) for all the continuous variables. Also, compute all pairwise correlations. Which variables seem to be related? Do the correlation values fully reect the extent of relationship between the variables..
A nearsighted person cannot see clearly beyond 59.0 cm . Prescribe a lens power that will image the most distant objects at 59.0 cm , giving clear vision at all distances.
Graph the function y = 5x on the same graph for the same values of x. Include a second y axis for 5x and change it to a logarithm axis.
The following table gives the velocity data for a shuttle between lift off and the jettisoning of the solid rocket boosters.
An office manager has four employees and nine reports to be done. In how many ways can the reports be assigned to the employees so that each employee has at least one report to do.
Find the horizontal asymptote and y-intercept for a given function - Explain the transformations on the given graph
what polynomial represents the total surface area of a rectangular solid with sides being 2x. x, 3x. What polynomial represents the volume?
Which normal distribution has a wider spread: Distribution A with a mean of one and a standard deviation of two, or Distribution B with a mean of two and a standard deviation of one? Explain your answer.
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