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A 25-by-33-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. The margins at the sides and top are to have the same width, and the bottom margin is to be twice as wide as the other margins. Find the width of the margins if the printed area is to be 405 in2.
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
Gather three of your favourite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the "Are You Sure It's Fat Free?"
Sometimes (for example 1/12 ) only part of the decimal repeats while in other cases (for example 1/7 ) the whole decimal repeats. Assuming a/b is a reduced fraction, how can you tell which of these two scenarios will occur? Explain.
Each unit produced costs the company $8.00, and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2000 units?
Write an equation in slope-intercept form for the line described.
Simple linear regression equation
The temperature u in a star of conductivity 2 is inversely proportional to the distance from the center: u=(2/sqrt(x^2+y^2+z^2)). If the star is a sphere of radius 1, find the rate of heat flow outward across the surface of the star.
Determining if null hypothesis will be rejected for given test statistics, State whether the standardized test statistic χ2 allows you to reject the null hypothesis for a two-tailed test with χ2 = 8.907
The length of the diagonal of a rectangular billboard.
There are two companies, the IL Company and the MO Company. They are trying to build a 3000 ft. tunnel connecting St. Louis, IL and St. Louis, MO.
You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90% level of confidence.
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
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