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in 1995, more than 1.1 million students in the United States took the SAT. ON the mathematics section, mean equals 507 and stadard deviation is 112. Students receive scores rounded to the nearest 10. What is the interval of student scores that lie within one standard deviation of the mean?
The dimensions of a triangular lot are 160 feet by 80 feet by 120 feet. If the price of such land is $3 per square foot, how much does the land cost?
Standard Deviation of Expected Profits. Suppose that next year the U.S. will be in one of the following economic conditions: Boom, Moderate Growth, Recession, or Depression.
How much should the bank invest in each possible category? Let x, y, and z, respectively, be the amounts invested in bonds, certificates of deposit, and first mortgages. Solve the system of equations by the Gauss-Jordan elimination method.
Let f and g be the functions given by f(x) = 1 + sin(2x) and g(x) = e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g.
describe fractional parts. what are the two distinct requirements of fractional parts? explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts?
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
a customer must enter his or her four-digit Personal Identification Number (PIN). How many different PINs are possible?
A merchant has coffee worth $20 a pound that she wishes to mix with 50 pounds of coffee worth $80 a pound to get a mixture that can be sold for $30 a pound. How many pounds of the $20 coffee should be used.
A boat traveled 285.6 miles downstream and back. The trip downstream took 10.2 hours. The trip back took 34 hours. What is the speed of the boat in still water? What is the speed of the current?
What is the elongation in the (2, 2, 1) direction? What is the change of angle between two perpendicular lines (in the undeformed state) in the directions (2, 2, 1) and (3, 0, 6)?
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity or inflection.
a company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 60ft^3. what dimensions yield the minimum surface area?
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