Suppose a finite number of players play a round-robin tournament, with everyone playing everyone else exactlyonce. each match has a winner and a loser (no ties). we say that the tournament has acycle of length mif there exist m players {p_1,p_2, . . ,p_m} such that p_1 beats p_2, who beats p_3, who beats p_m, who beats p_1. clearly this is possible only form ≥ 3.using mathematical induction, prove that if such a tournament has a cycle of length m, for some m≥3, then ithas a cycle of length 3.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b

answer: 100

step-by-step explanation:

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step-by-step explanation:

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