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Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
Free market. The equations S=5000+200x and D=9500-100x express the supply S and the demand D, respectively, for a popular compact disc brand in terms of its price x (in dollars). What happens to the supply as the price increases? (Include Graph)
A printer has a contract to print 100,000 invitations for a political candidate. He can run the invitations by using any number of metal printing plates from 1 to 20 on his press.
Solve the equations i. 6sinh theta - 4cosh theta-3=0 correct to 3 decimal places
A simple question on the Mean of a Binomial distribution, 80% of the community favored building a police substation in their neighborhood.
How many different four-digit numbers can be formed from the digits 0 through 9 if the first digit must be even and cannot be zero?
Find the probability of observing
Graph this equation and find an appropriate domain and range.
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
Drawing at least one black card when you draw a card from a standard deck 6 times, replacing the card each time you draw so that there are always 52 cards in the deck.
Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.
Probability Slips of paper marked with the numbers 1,2,3,4, and 5 are placed in a box. After mixing well, two slips are drawn.
What is the expected value for the recessive phentotype of the cross Long versus Short and what is the Chi Square Sum (rounding to 3 significant figures) for Long versus Short cross?
Analyze the data using graphical representations & numerical summaries.
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