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Fix an integer n ≥ 2. Define the relation ≡ on the integers via a ≡ b(mod n) (where a, b ∈ Z) if and only if n|(a - b). Prove that ≡ is an equivalence relation on the integers. prove equivalence relation, is it be a≡b? what we should prove?
If it is 300 miles from Chicago to St. Louis in a car traveling a constant speed of 60 mph, how do I write a linear function that expresses the distance to be traveled to reach St. Louis, s, as a function of time, t?
Find the Type II error value.
If voters can choose to leave any item blank, how many different ballots are possible?
Three of these components operate independently in a piece of equipment. The equipment fails if at least two of the components fail. Find the probability that the equipment will operate for at least 200 hours without failure.
Show by direct computation that the centriod of the triangle with vertices (0,0), (r,0), and (0,h)is the point(r/3,h/3). Verify that this point lies on the line from the vertex (0,0) to the midpoint of the opposite side of the triangle and two-thi..
Could the statement in the brochure be substantiated on the basis of these findings? Test with .05 significance level. Also calculate the P-value and interpret the result.
Determine the largest and smallest values of the marginal cost for 0
how many ways are there to assign the courses in the spring semester such that no professor teacher the same pair of courses in the spring as in the fall? if all the assignments are equally likely
What is the maximum height attained by the projectile? Show some work.
How is the solution affected if the constraints are changed to y(0) = 0 and y'(0) = 1 ? What is the special about this case?
What proportion of connectors fail during the warranty period?
The demand function for a product is given by p= -0.01x^2 - 0.1x + 6 where p is unit price and x is the number in thousands.
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