Question

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imagine you are the coach of a basketball team. your best player is injured and cannot play in your next game. you must decide which player will take his place. to do this, you will have to take into account the statistics of the players you have left on your team. in basketball, most of the shots attempted are worth 2 points. the chart below shows the single shots each player made out of the total shots attempted.

player	free throws (1 point)	field goals (2 points)	three-pointers (3 points)
tony parker	\\(\frac{4}{5}\\)	\\(\frac{9}{20}\\)	\\(\frac{1}{3}\\)
manu ginobili	0.857	0.448	0.338

using this information, answer the following questions in the text box. be sure to number your answers the same way the questions are numbered.

1. who has the best free-throw statistic? how do you know?

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Explanation:

Step1: Convert all to decimals

• Tim Duncan: \( 71\% = 0.71 \)
• Tony Parker: \( \frac{4}{5}=0.8 \)
• Manu Ginobili: \( 0.857 \)

Step2: Compare the decimals

Compare \( 0.71 \), \( 0.8 \), and \( 0.857 \). We can see that \( 0.857>0.8 > 0.71 \).

Answer:

Manu Ginobili has the best free - throw statistic. We know this by converting the free - throw statistics of each player to decimal form (Tim Duncan: \( 0.71 \), Tony Parker: \( 0.8 \), Manu Ginobili: \( 0.857 \)) and then comparing the decimal values. Since \( 0.857\) (Manu Ginobili's free - throw percentage as a decimal) is greater than \( 0.8\) (Tony Parker's) and \( 0.71\) (Tim Duncan's), Manu Ginobili has the highest free - throw percentage.