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Chapter 3: Problem 1

In \(2005,\) Tiger woods again won the Masters Tournament. His performance in the last round (all 18 holes) is given in the following table. $$\begin{array}{|l|l|} \hline \text { SCORE ON A HOLE } & \text { NUMBER OF TIMES SCORE OCCURRED } \\\ \hline \text { Birdie: }-1 & 5 \\\ \text { Par: } 0 & 9 \\\ \text { Bogey: }+1 & 4 \end{array}$$ If par for the 18 holes is \(72,\) determine Tiger's score in the last round of the tournament.

Short Answer

Expert verified
Answer: Tiger Woods scored 73 in the last round of the 2005 Masters Tournament.

Step by step solution

01

Write down the total number of holes

There are a total of 18 holes in the tournament.
02

Write a weighted equation to sum up all the scores

To find the total score, create a weighted equation by multiplying the score by the number of times it occurred and summing them up for all three types of scores (Birdie, Par, and Bogey): Total score = (-1) * (Number of Birdies) + (0) * (Number of Pars) + (+1) * (Number of Bogeys)
03

Substitute the given values into the equation

Now, substitute the given values into the equation from Step 2: Total score = (-1) * (5) + (0) * (9) + (+1) * (4)
04

Calculate the total score

Total score = (-1) * (5) + 0 + (+1) * (4) = -5 + 0 + 4 = -1
05

Determine Tiger's score in the last round

Tiger's score in the last round is his total score relative to the par score of 72. To find his final score, subtract his total score from the par score: Tiger's score = Par score - Total score = 72 - (-1) = 72 + 1 = 73 Tiger Woods scored 73 in the last round of the 2005 Masters Tournament.

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