The Pythagorean Theorem of Baseball states that if a Baseball team scores s runs

Question

The Pythagorean Theorem of Baseball states that if a Baseball team scores s runs and allows a runs scored against them, then their expected number of wins will be HW 162 s2 a2 One might ask: for an average" team, how many more points scored would generate one more win? Across the entire league, the average for s and a is 719. Let a be the number of points scored and fix a 719. Define the function W(a) 162 7192 1. Find W (719). What does this number mean? 2. Find lim W(a). Explain the meaning of this limit 3. Find W 0. Explain why W is always positive and what this means about W

Explanation / Answer

w(x) = 162(x^2 /(x^2 +719^2)

w(719) = 162(7192 +(7192+7192))

   = 162(7192/2*7192)

   = 162/2 = 81

expexted number of wins will be 81

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.