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Arte-miy333 [17]
2 years ago
7

Which conjunction or disjunction is equivalent to the open sentence |a – 9| ≤ 4.

Mathematics
1 answer:
xenn [34]2 years ago
3 0
The absolute value inequality is equivalent to
  ±(a - 9) ≤ 4
When the minus sign is chosen and the expression is multiplied by -1, the comparison operator is reversed and the expression becomes
  a - 9 ≥ -4

The solution spaces of
  a - 9 ≤ 4
  a - 9 ≥ -4
overlap, so the solution is the conjunction of the two inequalities. This matches selection ...
  D.   a - 9 ≤ 4 and a - 9 ≥ -4

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Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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Central limit theorem:

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\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

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This is 1 subtracted by the pvalue of Z when X = 98.4. So

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