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Answer :
Final answer:
The player who joined the team was taller than the one who left, causing the average height to increase. For instance, if the player that left was 179 cm tall, the height of the new player that caused the increase in average would be 186.5 cm tall.
Explanation:
To solve this question, let's first consider that the average height of 5 players in a basketball team was 181 cm. This means that the total height of these 5 players was 181 cm x 5 = 905 cm.
When a player left and a new player joined, the average height increased by 1.5 cm to 182.5 cm. Thus, the total height of the five players after the swap was 182.5 cm x 5 = 912.5 cm.
Given these two total heights, we can conclude that the new player who joined the team was taller than the one who left, because the total height increased. Now let's determine how tall. Subtract the total height before the swap from the total height after the swap to get the difference in height between the two players. That is, 912.5 cm - 905 cm = 7.5 cm.
If one of the players was 179 cm tall, to figure out the other player's height, add the difference in height to the height of the shorter player, 179 cm + 7.5 cm = 186.5 cm.
So, the answer is c) the one who joined was taller, and the other player was 186.5 cm tall.
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