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A theater has 675 seats. There are three times as many seats in a row as there are rows. How many rows and how many seats are there?
A rancher has 400 feet of fencing and wants to build a corral that's divided into three equal rectangles. What length and width will maximize the area?
Obtain the matrix scatterplot (Graph Matrix plot) for all the continuous variables. Also, compute all pairwise correlations. Which variables seem to be related? Do the correlation values fully reect the extent of relationship between the variables..
A certain brand of razor blades comes in packages of 6, 12, and 24 blades, costing $ 2, $ 3, and $ 4 per package, respectively. A store sold 12 packages containing a total of 162 razor blades and took in $ 35. How many packages of each type wer..
Determine the linear correlation coefficient using x = HP and y = MPG. Perform the hypothesis test of rho to determine whether horsepower and gasoline mileage are negatively correlated at the one percent level of significance? [For the critical value..
express the total number s of square feet of glass needed as a function of x
which company is cheaper and by how much per minute?
An employee of the National Parks Service told you about a location in Washington, DC. It is a large grassy area south of the White House known as the Ellipse. The National Tree Lighting Ceremony is held annually on the Ellipse.
Assume it is equally likely that any number of people between 91-120 show up for the flight. How much , on average expected profit will the flight generate?
fine the arc length of an arc intercepted by a central angle of .769 radian on a circle with radius 11.4.
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
if a patient weighing 70kg requires 210mg of this medicine, then what is the amount of medicine requires for a patient weighing 80kg?
If 1300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
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