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Application Problem 1G (Geometric application- See Appendix A in your textbook for formulas of geometric figures)
A rectangular building whose depth is twice its frontage is divided into two parts, a front portion and a rear portion, by a partition that is 30 feet from and parallel to the front wall.
Identify the front (width) by the letter "x" and write the following:
Depth (length) of the building
Length of the rear portion
Write an expression for the area of the rear portion
Hint: Make a sketch on a scratch paper to describe the dimensions.
Probability values.
A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters. Express the circumference C of this circle as a function of t.
Are there any absorbing states? I know that I have to set up a transition matrix, but I am having trouble after that. Can you help me?
Calculate the simple linear regression equation
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Let A = Z + Z + Z, let x_1 = (1,2,1) and x_2 = (1,5,1), and consider the subgroup B = (x_1, x_2) is a member of G. For the quotient group G = A/B, and write (x,y,z) is a member of G for the coset determined by n element (x,y,z) is a member of A.
Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.
Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system.
Show a sketch of a region satisfying set of inequalities or system of inequalities
True or False. In a multinomial experiment, all outcomes of each trial can have several categories. In finding Expected Frequency you multiply what divided by what?
In what fundamental way does the solution set of a system of linear equations differ from the solution set of a system of linear inequalities?
Appropriate probability space. Consider the experiment of choosing a whole number between 1 and 10, where the probability
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