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Question: The relation of "congruence modulo n" is the relation ≡ defined by x ≡ y mod n if and only if x mod n = y mod n.
(a) Show that congruence modulo n is an equivalence relation by showing that it defines a partition of the integers into equivalence classes.
(b) Show that congruence modulo n is an equivalence relation by showing that it is reflexive, symmetric, and transitive.
(c) Express the Chinese Remainder theorem in the notation of congruence modulo n.
Q1) Test a sample data of your choice/provided by your tutor using t-test. Present the main results. Q2) Test a sample data of your choice/provided by your tutor using ANOVA. Present the main results.
The final amount for $5000 invested for 25 years at 10% annual interest compounded semiannually is $57, 337.
For the quadratic formula problem, be sure that you use readable notation while you are working the computational steps. Refer to the Inserting Math Symbols handout for guidance with formatting.
How could you interpret infinity in the y values for costs, a negative x value for time, or a horizontal asymptote in y values for profits?
$5900 is invested, part of it at 10% and part of it at 6%. For a certain year, the total yield is $478.00. How much was invested at each rate?
A solution of 68% vinegar is to be mixed with a solution of 25% vinegar to form 344 liters of a 52% solution. How many liters of the 68% solution must be used?
arrivals of passengers at a taxi standnbsp form a poisson process l with rate lambda passengers come singly and they
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ompare the two forecasts by using MAD. Which forecast appears to be more accurate? .
CD's are packaged up in boxes of 88. Every 26 boxes are loaded onto 1 crate. 1.How many crates would be needed if you had 290000 CD's to pack?
A family has a $90,092, 15-year mortgage at 6.9% compounded monthly. A. Find the monthly payment and the total interest paid.
In a second grade class containing 15 girls and 7 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl? Whic would be the correct ..
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