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Otrada [13]
4 years ago
5

Nine less than a number is no more than 8 and is no less than 3

Mathematics
1 answer:
frozen [14]4 years ago
7 0

9 - x < 8 => -x < 8 - 9 => -x < -1 => x > 1

9 - x > 3 => -x > 3 -9 => -x > -6 => x < 6

So the number is between 1 and 6, notation 1 < x < 6

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The test scores of 1,200 students are normally distributed with a mean of 83 and a standard deviation of 5.5. Under which interv
KATRIN_1 [288]

Using the Empirical Rule, it is found that the interval in which approximately 978 students scored was:

A. 72 < x < 88.5.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The percentage that 978 is of 1200 is:

978/1200 x 100% = 81.5%.

Considering the symmetry of the normal distribution, two outcomes are possible involving 81.5% of the measures:

  • Between one standard deviation below the mean and two above, which in the context of this problem is between 77.5 and 94.
  • Between two standard deviations below the mean and one above, which in the context of this problem is between 72 and 88.5, which is option A in this problem.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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4 0
2 years ago
What is n?
hammer [34]

Answer:

Please show more info you can send photos so we can see better thanks

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3 years ago
Help me please ASAP !!!!!!!!!!
Minchanka [31]

Answer:

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