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In-s [12.5K]
4 years ago
12

What is the solution to the inequality -3x - 42 > 3​

Mathematics
1 answer:
garik1379 [7]4 years ago
4 0

- 3x - 42 > 3\Leftrightarrow  - 3x > 45\Leftrightarrow x <  - 15

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847.875 round to the nearest tenth
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
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Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

CI=\bar x\pm  t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}

The sample selected is of size, n = 50.

The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:

t_{\alpha/2, (n-1)}=t_{0.05/2, 49}=2.000

*Use a t-table.

Compute the sample mean and sample standard deviation as follows:

\bar x=\frac{1}{n}\sum {x}=\frac{1}{50}\times [6+4+6+...+9+6]=6.34\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{50-1}\times 229.22}=2.163

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

CI=\bar x\pm  t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}

     =6.34\pm 2.00\times\frac{2.163}{\sqrt{50}}\\\\=6.34\pm 0.612\\\\=(5.728, 6.952)\\\\\approx(5.7, 7.0)

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).

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xeze [42]
Hope this worked :3

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3 years ago
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