A basketball coach is considering three players for Most Valuable Player​ (MVP). The table shows the proportion of shots each player made of the shots he or she attempted.

Answer parts a through d below.

Player

Free

Throws

Field Goals

​(2 pts)

​3-Point

Shots

Martin

​71%

​49.5%

​32%

Corey

four fifths45

StartFraction 9 Over 20 EndFraction920

one third13

Kimberly

0.857

0.448

0.338

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Part 1

**a.** For a technical​ foul, the team can pick any player it wants to shoot the free throw. Which player should the team​ pick? Explain.

To determine which player the team should pick to shoot the free throw during a technical foul, we need to compare the free throw shooting percentages of each player.

The free throw percentages for the players are as follows:

- **Martin:** 71%
- **Corey:**  \( \frac{4}{5} = 0.8 = 80\% \)
- **Kimberly:** 0.857, which is equivalent to 85.7%

**Analysis:**

- **Martin:** 71% of free throws made
- **Corey:** 80% of free throws made
- **Kimberly:** 85.7% of free throws made

**Conclusion:**
The team should choose **Kimberly** to shoot the free throw because she has the highest free throw percentage (85.7%), meaning she is the most reliable shooter among the three players in terms of free throws.

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Would you like more details or have any questions? Here are 8 related questions to consider:

1. How do free throw percentages affect a player's overall contribution to the team?
2. What other factors might a coach consider when choosing a player for free throws?
3. If Kimberly were to take 100 free throws, how many would she likely make based on her percentage?
4. How does Corey's performance compare in other categories like field goals and 3-point shots?
5. What is the probability that Martin would make two free throws in a row?
6. How can you calculate a player's shooting percentage if given the number of successful attempts and total attempts?
7. What strategies could players use to improve their free throw shooting percentage?
8. How do these percentages compare to professional basketball players?

**Tip:** Understanding percentages in sports statistics can give you insights into player performance and game strategies.

Compare free throw shooting percentages of Martin, Corey, and Kimberly to determine the best player for free throws. Analyze their performance in basketball statistics. Suitable for Grades 7-9 students learning about percentages and probability in sports analytics.

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