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A landscape architect is creating a rectangular rose garden to be located in a local park. The rose garden is to have an area of 60m^2 and be surrounded by a lawn. The surrounding lawn is to be 10m wide on the north and south sides of the garden and 3m wide on the east and west sides. Find the dimensions of the rose garden if the total area of the rose garden and the lawn together is to be a minimum.
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!"
How much money can it spend if an acceptable variance is 5% of its budgeted amount? (even though the correct answer would contain less than/equal to, use the less than sign--the system will not accept the less than, equal to sign).
Construct a comparative boxplot. Does it suggest that there is a difference between true average extensibility for high-quality fabric specimens and that for poor-quality specimens?
Find the linear equation that relates value (V) in dollars to time (t) in years. What would be the value of the equipment after 6 years?
How many possible uniforms are there using one helmet, one jersey, and one pair of pants?
Set up an equation and solve the following problem. The length of a rectangular floor is 8 meter less than twice its width. If a diagonal of the rectangle is20 meters, find the length and width of the floor.
You are reducing a map of dimensions 2 feet by 3 feet to fit to a piece of paper 8 inches by 10 inches. What are the dimmensions of the largest possible map that can fit on the page?
Suppose the current exchange rate for the Polish zloty is Z 2.85. The expected exchange rate in three years is Z 2.93. What is the difference in the annual inflation rates for the United States and Poland over this period?
the salaries of a group of 60 workers in one year had a mean of $34,100 and a standard deviation of $7,200. At the end of the year each worker recieved a bonus $2,500 what are the mean and standard deviation of the salaries after the bonus is incl..
Evaluate the length and width of the given rectangle using the area and the relation of length and width.
Find the continuous-compounding nominal interest rate per annum (r) that is equivalent to a discrete-compounding interest (i) of:
In R2, let triangle ABC be a right triangle with right angle at angle C. Consider the altitude CH (it meets AB perpendicularly). Prove that |CH|^2 = |AH| * |BH|.
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