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Question: 1. Compare the result of this truth table to your original idea. If they agree, explain how they are compatible. If they do not agree, find the source of the error.
2. If you have some time left over, work on these proofs.
(a) For n ∈ N, prove that if n3 +6n2 -2n is even, then n is even.
(b) Let x ∈ R. Show that if x5 +7x3 +5x ≥ x4 +x2 +8, then x ≥ 0.
(c) Prove that an 8× 8 chessboard with a square missing cannot be tiled with dominoes.
(d) Prove that for n odd, an n×n chessboard missing its lower-right-hand corner can be tiled with dominoes.
Find the equation of the least-squares line for the given data. Draw a scatter diagram for the given data.
If 9 less than the product of a number and -4 is greater than 7, which of the following could be that number?
The density of the pyramid is uniform in cross-sections parallel to the base, and density (in g/cm3) across such a cross section if twice the distance (in cm) from the top of the pyramid. Compute the mass of the pyramid.
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected. Find the probabilities that the sample contains the following
There are 500 L of oil in a tank that has the capacity of 100,000 L. It is filled at the rate of 7000 L/h. Determine the function relating the number of liters.
The loan $124,000 with a 30 year agreement and 4% interest. The down payment is 3.5% so I paid $4,430 giving me a balance of $119,660. If I were to pay my monthly payments of $571.28 on time (with no extra payments) for 30 years my TOTAL (with intere..
Find the interest paid on a loan of $2000 for 1 year at a simple interest rate of 7% per year. Find the interest paid on a loan of $3946 for 5 months at a simple interest rate of 12% per year
If the 3% annual inflation rate is accurate, how long will it take to get the down payment?
Find a linear model for the cost, , of waste collection as a function of the number of kilograms, .
Pauline takes a loan of S dollars at an interest rate of r percent per month, compounded monthly. She plans to repay the loan in T equal monthly installments of P dollars each.
Find the standardized test statistic for a sample with n = 10, = 13.4, s = 1.3, and if . Round your answer to three decimal places.
A certain country's gross domestic product (GDP) (in millions of dollars) is described by the function.
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