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1. A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
2. If high school prom tickets cost $16 then 1000 people will attend the dance. For every $1 increase in the price 30 fewer people will attend. How much should the dance tickets cost to have the maximum revenue?
3. A rectangular flower bed is to contain 800 square meters. It is to be surrounded by a walk that is 3 meters wide along the sides and 6 meters across the ends. If the total area of the bed and the walk is to be a minimum, what are the dimensions of the bed?
A new fashion in clothes is introduced. It spreads slowly through the population at first but then speeds up as more people become aware of it.
How would I solve the characteristic equation for B and show that the eigenvalues are 0, 2 and 4? For each eigenvalue, how would I find a corresponding eigenvector?
Find the 99 percent confidence interval on the proportion of all such gloves that are shorter than nine inches.
Find the percentage of members spends more than $140 in a year?
A sample random sample of sixty times resulted in a sample mean of eight & a sample standard deviation of fifteen. Compute 95 percent confidence interval for population mean.
Calculating The Probability For a Normal Random Variable. The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observ..
Find the polynomial of degree five whose graph goes through the points (0,5), (1,-1), (2,5) and whose slope at x=0 is -1, at x=1 is -2, and at x=2 is 3.
A legislative committee consists of 8 Democrats, 6 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic-
Finding the centroid of the area bounded by the x- axis and a parabola - Determine the centroid of the area bounded by the parabola
Probability in poker, Find the probability of drawing a straight flush in poker
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
If a ring R has a multiplicative identity, then the multiplicative identity is unique.
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