Answered

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A student scores 71 out of 100 on a test. If the maximum score on the next test is also 100 points, what score does the student need to maintain at least an average
of 82?
....

Sagot :

renknee

Answer:

93 points

Step-by-step explanation:

1. Set up the equation to find the mean/average.

  • [tex]\frac{71+x}{2} = 82[/tex]

2. (Solving)

Step 1: Multiply both sides by 2.

  • [tex]\frac{71+x}{2}*2 = 82 * 2[/tex]
  • [tex]71 + x = 164[/tex]

Step 2: Subtract 71 from both sides.

  • [tex]71 + x - 71 = 164 - 71[/tex]
  • [tex]x = 93[/tex]

Therefore, the student needs to score at least 93 points on a test to maintain an average of 82.

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