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A study of freeway flow at a particular site has resulted in a flow-density relationship, as follows:
F=63.4D-0.46D^2
From this relationship:
(a) Find the free-flow speed and jam density.(b) Derive equations describing flow versus speed and speed versus density(c) Determine the capacity.
Important information about Probability and Expected Value. Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that the second marble is blue, given that the firs..
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
If the price of an item drops 10 cents per dozen, it becomes possible to buy 2 dozen more items for $6.00 than was possible at the original price. Find the original price.
Real Life Scenarios- Systems of Linear Equations, Determine a simple real-life example scenario to solve systems of linear equations
Develop a loan amortization project using Excel spreadsheets. This can be a car loan or a home mortgage. You will develop two alternative loan schedules using realistic rates and repayment schedules and write up a comparison of your two amortizati..
Calculate Analytically the 1st and 2nd legendre transforms of this function. Make sure to express the transforms in terms of their naturAl variables. CAn you generalize your result for the the behavior os the second legendre transform?
Find (partial z)/(partial u)( and ) (partial z)/(partial v) using the chain rule. Assume the variables are restricted to domains on which the functions are defined. Your answers should be in terms of u and v.
Profit for each big shelf is $85 and for each medium shelf is $75. What is the constraint on money to invest?
Find the percentage of members spends more than $140 in a year?
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?
Hypothesis testing for single mean.
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