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3. a player has 25 singles, 20 doubles, 3 triples, and 7 home runs in 1…

Question

  1. a player has 25 singles, 20 doubles, 3 triples, and 7 home runs in 180 at-bats. what is their slugging percentage?

Explanation:

Step1: Calculate total bases

Singles: 25 (1 base each) → \(25\times1 = 25\)
Doubles: 20 (2 bases each) → \(20\times2 = 40\)
Triples: 3 (3 bases each) → \(3\times3 = 9\)
Home runs: 7 (4 bases each) → \(7\times4 = 28\)
Total bases = \(25 + 40 + 9 + 28 = 102\)

Step2: Calculate slugging percentage

Slugging percentage = \(\frac{\text{Total Bases}}{\text{At - Bats}}\)
At - Bats = 180, so slugging percentage = \(\frac{102}{180}\approx0.5667\)

Answer:

The slugging percentage is approximately \(0.567\) (or \(56.7\%\) if expressed as a percentage).