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Alekssandra [29.7K]
3 years ago
14

Use distributive property to express 32 + 64

Mathematics
2 answers:
wel3 years ago
7 0

32 + 64 = 96. So 96 should be your answer 4 +2 equals 6 and 3 + 6 = 9.

SIZIF [17.4K]3 years ago
7 0

96 should be the answer

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Using the t-distribution to build the 99% confidence interval, it is found that:

  • The margin of error is of 3.64.
  • The 99% confidence interval for the population mean is (19.36, 26.64).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm t\frac{s}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • t is the critical value.
  • n is the sample size.
  • s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.

The other parameters are given as follows:

\overline{x} = 23, s = 8, n = 21

The margin of error is given by:

M = t\frac{s}{\sqrt{n}} = 2.086\frac{8}{\sqrt{21}} = 3.64

Hence the bounds of the interval are:

\overline{x} - M = 23 - 3.64 = 19.36

\overline{x} + M = 23 + 3.64 = 26.64

The 99% confidence interval for the population mean is (19.36, 26.64).

More can be learned about the t-distribution at brainly.com/question/16162795

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