pythagorean theorem c² = a² + b²
2006-11-26 01:56:44
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answer #1
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answered by mr. x 5
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The Inside Wagering Line From Pinnacle SportsBook
How many games would you expect a team to win, if it was a 3-point favorite for each game? First you need to convert the fair no-vig moneyline (ML) into a "percentage chance of winning" for each game. For favorites, that is the (ML quote / (ML - 100)) * 100. If the fair no-vig moneyline for a 3-point favorite is -145/+145, we would expect the 3-point favorite to win (145 /(-145-100)) * 100 = 59% of the time. If we knew a team would be a 3-point favorite for every game, we would expect it to win 16*0.59 games, or about 9.5 games.
Although not a perfect science, you can use this knowledge to convert season-win lines into a game line for the first week. For every ½ game better the favorite is for season wins, it should give up an additional 1 point on the spread at a neutral site. If a 9.5-win team played an 8-win team, the 9.5 win team would be a 3-point favorite on a neutral field. After that, add 3 points for home field advantage, so the 9.5 win team would be a 6-point favorite at home, or a Pick’em on the road.
You then need to set a “baseline” using games from the prior year, in this case the 2005-2006 NFL season. While some people will simply start with the number of games a team won in the previous season, more sophisticated bettors use the “Pythagorean Theorem” for football. This formula reduces the effects of lucky and/or close wins, and gives a team more credit for blowouts and consistently solid performances.
By way of example, consider the 2005 Tampa Bay Buccaneers regular season record of 11-5, with 300 points scored for and 274 points scored against. Instead of simply using their win/loss record, if you use the Pythagorean Theorem for football, you assume games won = (PF^2) / (PF^2+PA^2) * 8, where PF=points for and PA=points against.
Using the Pythagorean Theorem for football, the Buccaneers’ baseline would be calculated as 300*300/(300*300+274*274) * 16 which gives an expectation of 8.7 games. This suggests that Tampa Bay was very lucky to win 11 games and if they played the same season with the same roster, 9 wins would be much more likely.
Conversely when you use the Pythagorean Theorem for football, we can see that last year Green Bay’s record under evaluated the team. The Packers finished at 4-12, with 298 points for and 344 points scored against. Their baseline would be 298*298/(298*298+344*344) * 16 = 6.9 games, nearly 3 full games better than their record from last year.
The Pythagorean Theorem is a starting point in your analysis that gives you a leg up over handicappers who don’t use it. Although originally derived by Bill James for MLB, its applications have extended across many sports by changing the exponent (2 for NFL, 1.8 for MLB, and 16.5 for the NBA).
2006-11-26 09:37:58
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answer #2
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answered by gandolphus 3
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Pythagorean theorem is one of the most useful theorems. It's not just that you can find one of the sides of a right triangle. Many students do not realise that the "distance formula" is actually the Pythagorean theorem. It's useful for calculating distances in a plane or a relatively small area of the earth (if the distance is too great, curvature of the earth needs to be accounted for).
2006-11-26 09:13:43
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answer #3
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answered by MJQ 4
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Pythagorean Theorem
c² = a² + b²
in a right triangle, the area of the square who side is the hypotenuse(The side of the right triangle opposite the right angle) is equal to the sum of areas of the squares who sides are the two legs(i.e. the two sides other than the hypotenuse.)
Clidk on the URL below for additional information conferning Pythagorean Theorem.
en.wikipedia.org/wiki/Pythagorean_theorem
2006-11-26 09:42:57
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answer #4
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answered by SAMUEL D 7
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To draw 2 lines at right angles to each other or to find whether they are at right angles to each other with just a long string or rope. To calculate heights,distances etc.
2006-11-26 22:13:47
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answer #5
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answered by Govinda 3
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it has no use
but it is a waste theorem and make the students to cry
it helps to find solution for other theorem
(ab)^2=bc^2+ac^2
2006-11-26 09:10:10
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answer #6
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answered by Arun 2
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