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1. Find the solution to the following system of linear equations:
3x + 4y = -8
y = -5x - 7
2. My friend is driving 55 mph, West, on Interstate 90 and he started from his home which is 75 miles west of mine. I leave at the same time, traveling West at a speed of 73 mph. Write 2 linear equations (one for me and one for my friend) that relate our distances away from my home versus time. (Hint: draw a little picture or diagram)
3. Solve the following absolute value inequality: ½ |x - 2| < 4
Probability: High Risk Apartments. In a local town, there are three separate apartment blocks, A, B and C. Block A contains 10 apartments, of which two contain "High Risk" inhabitants.
Set up an appropriate probability space. Which is larger, (a) the probability of having a full house given that the first 2 cards you've dealt have the same denomination, or (b) the probability of having a full house given that there exist 2 cards
Dividing the given fraction and then check by multiplying - Simplify into a single polynomial
In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female?
The demand function is: D(q) = 300/[4q+3] per unit. Find the total mount of money consumers are willing to spend to get 10 units of the commodity.
Compute the probability based on the distribution.
Evaluate the sequence generated by generating functions
Signature loans may not exceed 13% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). Furniture loans plus other secured loans may not exceed the automobile loans.
Solving problem on distributive Laws
The probability that Simon completes his homework is 7/8 and the probability that Hannah completes her homework is 3/4. By drawing a tree diagram, find the probability that
Either use the p-value approach to hypothesis testing or use the significance level approach with α = .05.
Groups: Isomorphisms and Mappings, Let G be the additive group of all real numbers, and G' be the group of all positive real numbers under multiplication
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