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1. The batting average of a baseball player is the ratio of the number of hits to the number of official times at bat, which does not include some outcomes such as walks and being hit by a pitch. Batting averages are usually expressed as a decimal to three places such as .355. a. Find a player's batting average if the player has 23 hits in 97 official times at bat. b. The player from part (a) continues beyond the 97 official at bats with 23 hits and gets 5 hits in the next 12 at bats. Find the new batting average. c. The player from part (b) goes on a streak where he gets one hit for every three official at bats. Assuming this streak continues, find the minimum number of hits he will have that results in a batting average of .280.

1. The batting average of a baseball player is the ratio of the number of hits to the number of official times at bat, which does not include some outcomes such as walks and being hit by a pitch. Batting averages are usually expressed as a decimal to three places such as .355. a. Find a player's batting average if the player has 23 hits in 97 official times at bat. b. The player from part (a) continues beyond the 97 official at bats with 23 hits and gets 5 hits in the next 12 at bats. Find the new batting average. c. The player from part (b) goes on a streak where he gets one hit for every three official at bats. Assuming this streak continues, find the minimum number of hits he will have that results in a batting average of .280.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. The batting average of a baseball player is the ratio of the number of hits to the number of official times at bat, which does not include some outcomes such as walks and being hit by a pitch. Batting averages are usually expressed as a decimal to three places such as .355. a. Find a player's batting average if the player has 23 hits in 97 official times at bat. b. The player from part (a) continues beyond the 97 official at bats with 23 hits and gets 5 hits in the next 12 at bats. Find the new batting average. c. The player from part (b) goes on a streak where he gets one hit for every three official at bats. Assuming this streak continues, find the minimum number of hits he will have that results in a batting average of .280.
Transcribed Image Text:1. The batting average of a baseball player is the ratio of the number of hits to the number of official times at bat, which does not include some outcomes such as walks and being hit by a pitch. Batting averages are usually expressed as a decimal to three places such as .355. a. Find a player's batting average if the player has 23 hits in 97 official times at bat. b. The player from part (a) continues beyond the 97 official at bats with 23 hits and gets 5 hits in the next 12 at bats. Find the new batting average. c. The player from part (b) goes on a streak where he gets one hit for every three official at bats. Assuming this streak continues, find the minimum number of hits he will have that results in a batting average of .280.
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