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CaHeK987 [17]
2 years ago
3

Amir’s average math score for the first 4 tests of the school year is 88 Which equation can be used to calculate what Amir’s ave

rage must be on the next two tests so that his overall average is 90

Mathematics
1 answer:
iren [92.7K]2 years ago
8 0

Answer:

Equation that can be used = \frac{4(88)+2x}{6} = 90

Step-by-step explanation:

Given that:

Amir's average on four tests = 88

Let,

x be the score on one test

For two tests = 2x

Sum of all scores = Average of four tests + Score of two tests

Sum of all scores = 4(88) + 2x

Total number of tests = 6

Overall average needed = 90

Now,

Average = \frac{Sum\ of\ quantities}{Number\ of\ quantities}\\90 = \frac{4(88)+2x}{6}\\\\\frac{4(88)+2x}{6} = 90

Hence,

Equation that can be used = \frac{4(88)+2x}{6} = 90

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The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

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