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Question
coach sallinas wants to compare the kicking statistics for kickers on their team. which 2 ways could coach sallinas find the kicker with the greatest goal success rate? choose 2 answers. a find the least goals attempted per goal scored. b find the most goals attempted per goal scored. c find the least goals scored per goal attempted. d find the most goals scored per goal attempted.
Step1: Define success rate
Success rate for goal - kicking is calculated as the number of goals scored divided by the number of goals attempted.
Success rate = $\frac{\text{Goals Scored}}{\text{Goals Attempted}}$
Step2: Analyze options
- Option A: Finding the least goals attempted per goal scored means $\frac{\text{Goals Attempted}}{\text{Goals Scored}}$, which is the reciprocal of the success - rate calculation and will give the opposite of what we want.
- Option B: Finding the most goals attempted per goal scored is also the reciprocal of the success - rate calculation.
- Option C: Finding the least goals scored per goal attempted means $\frac{\text{Goals Scored}}{\text{Goals Attempted}}$ in a situation where this value is minimized, which is not what we want for the greatest success rate.
- Option D: Finding the most goals scored per goal attempted means maximizing the value of $\frac{\text{Goals Scored}}{\text{Goals Attempted}}$, which is equivalent to finding the kicker with the greatest success rate.
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D. Find the most goals scored per goal attempted.