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Determine the area of the region totally enclosed by the lines y = 3x, x = 3y, and 3x + y = 30. Your problem solution submission must include, on graph paper, the graphs of each of the lines with the (x, y) coordinates of their intersection points clearly identified. Of course, the graphs must be accurate and the scaling appropriate.
Tom, Dick, and Harry have an average (arithmetic mean) of 120 baseball cards. Tom has 1½ as many cards as Dick, and Harry has ½ as many as Dick. How many baseball cards does Tom have?
Then find a particular solution to the non-homogeneous equation.
The store owner can order jackets in lot sizes of 10 units. How many jackets should the store owner order if she wants to maximize the expected profit?
Find the equation of the regression line for the given data. What is the predicted value of Y when X = -2? What is the predicted value of Y when X = 4?
Probabilities of Selecting Multiples of Fixed Numbers. Let N = 1000 and let S = {1, 2, ... , N}. Let D_i = {m belongs to S: i|m} for integers i between 1 and N.
Using the following data, obtained from an imaginary harness small manufacturing company, determine the correlation between the number of hours that an employee works and how many belts they produce:
altitude of mountain climber 4572 meters. altitude of submarine commander -609 meters. What is the difference in these altitudes?
A tank in the shape of an inverted right circular cone has height 9 meters and radius 13 meters. It is filled with 6 meters of hot chocolate.
This year, 100 million test kits are expected to be sold. This represents a 122% increase form the number of kits sold last year. How many medical test kits were sold last year?
Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
A stone is tossed vertically upward with an initial velocity of 30 ft/s from the top of a 40 ft building. What is the height of the stone after 0.21 s?
the length of the transverse axis is 8, and the length of the blue lilne segment is 7. How long is the red line segment?
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