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Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs. If he plays a total of 1272 games in his career, approximately how many home runs will he hit?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.

Respuesta :

Answer:

120 home runs.

Step-by-step explanation:

Let x be the number of home runs after playing 1272 games.

We have been given that Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs.

Let us find the probability of hitting home runs in next game.

To find the total number of home runs Derek will hit in his career, we will use relative probability, which is the ratio of the occurrence of a singular event and the total number of outcomes.

So we can set a proportion as:

Let us multiply both sides of our equation by 1272.

 

   

Therefore, Derek Jeter will hit approximately 120 home runs in his career.

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