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The length of a rectangular garden is 10 feet longer than its width. If the garden's perimeter is 208 feet, what is the area of the garden in square feet?
Break-even analysis: The following table contains price-demand and total cost data for the production of treadmills, where p is the wholesale price (in dollars) of a treadmill for an annual demand of x treadmills and C is the total cost (in dollar..
There are 45 participants in the triathlon. The first three finishers will receive prizes. How many ways can the three prizes be given?
A two-person game is played in which a fair coin is tossed until either the sequence HT (heads, tails) or the sequence TT (tails, tails) appears.
If the vertices of quadrilateral PEAR are P(-3, 0), E(0, 4), A(5, -6), and R(-1, -4), show, using coordinate geometry, that quadrilateral PEAR is not an isosceles trapezoid.
Make the shape of the square.
A coin is tossed three times. What is the conditional probability that the outcome is THT given that at least one head occurs?
An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 32° and to the other is 54°. How far apart..
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 608 feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. Remember to reduce a..
Evaluate formulae for the coefficients -Hint: Use the linear transformation
A random digit dialing telephone survey of 880 drivers asked, "Recalling the last ten traffic lights you drove through, how many of them were red when you entered the intersectinos?" Of the 880 respondents, 171 admitted that at least one light had..
If the advance promoter wants to have a 99% chance of completing all preparations by June 30, when should work begin on finding a concert site?
Solve each of the following equations for the unknown variable.
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