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wlad13 [49]
2 years ago
5

2root 3 x 3 root 8 fully simplified

Mathematics
1 answer:
LuckyWell [14K]2 years ago
8 0

Answer:

  • 12\sqrt{6}

Step-by-step explanation:

<h3>Given expression</h3>

  • 2 \sqrt{3} *3\sqrt{8}

<h3>Simplify the expression in steps as below</h3>

  • 2 \sqrt{3} *3\sqrt{8}  =
  • 2 \sqrt{3} *3\sqrt{2^2*2} =
  • 2 \sqrt{3} *3*2\sqrt{2} =
  • 2*6* \sqrt{3} *\sqrt{2} =
  • 12* \sqrt{3*2}  =
  • 12\sqrt{6}

Used properties in solution process:

  • \sqrt{a^2} =a
  • \sqrt{a}\sqrt{b}  =\sqrt{ab}
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A hospital emergency room has collected a sample of 40 to estimate the mean number of visits per day. The sample standard deviat
zhuklara [117]
<h3>Answer:  8.323  (approximate)</h3>

====================================================

Explanation:

s = 32 = sample standard deviation

n = 40 = sample size

Despite not knowing the population standard deviation (sigma), we can still use the Z distribution because n > 30. When n is this large, the student T distribution is approximately the same (more or less) compared to the standard Z distribution. The Z distribution is nicer to work with.

At 90% confidence, the z critical value is roughly z = 1.645. This can be found using either a Z table or a calculator.

------------------

We have these values:

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  • s = 32
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Plug these values into the margin of error formula.

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I rounded to 3 decimal places because z = 1.645 is rounded to 3 decimal places. If your teacher wants some other level of precision, then be sure to follow those instructions.

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