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Determine which of the congruences has a solution and why? (Give explanation).
(i) x^2 = -1 mod 5987(ii) x^2 = 6780 mod 6781(iii) x^2 + 14x - 35 = 0 mod 337(iv) x^2 - 64x + 943 = 0 mod 3011
Two dice are rolled. If the total is 10, then player A receives 7 points. If the total is 6, then player B receives 6 points. Find the expected value for each player.
Write the equation of a line perpendicular to the given line but passing through the given point.
For a student club fund-raiser, the number of $2.00 raffle tickets printed was three times the number of $5.00 raffle tickets. If all of the tickets are sold, receipts from the $5.00 tickets will be $50.00 less than those from the $2.00 tickets.
For the right triangle, find the side length x. Round answer to nearest tenth.
Find the instantaneous velocity when t = 1. Please show me all the steps, explain to me what instantaneous velocity is and how it is calculated (formula).
Complement of Events, Guessing. How do I setup a Guessing problem?, Six popular brands of cola are to be used in a blind taste study for consumer recognition.
Describe the appropriate sampling distribution model - shape,center and spread - with attention to assumptions and conditions. Make a sketch using the 68-95-99.7 Rule.
Use the euclidean algorithm to find the greatest common divisor of 981 and 1234.
A manufacture has been selling 1300 television sets a week at 420 each. A market survey indicates that for each 16 rebate offered to a buyer, the number of sets sold will increase by 160 per week.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Solving probability problems based on normal distribution
Trees can be used for many applications in computer science. One of these applications is decision-making, which is often used in the creation and analysis of databases.
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