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.
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{ Total number of possible outcomes}}[/tex]
[tex]\text{Probability of hitting home run in next game}=\frac{15}{159}[/tex]
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:
[tex]\frac{x}{1272}=\frac{15}{159}[/tex]
Let us multiply both sides of our equation by 1272.
[tex]\frac{x}{1272}*1272=\frac{15}{159}*1272[/tex]
[tex]x=15*8[/tex]
[tex]x=120[/tex]
Therefore, Derek Jeter will hit approximately 120 home runs in his career.
