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3 years ago

The equation 1 – 4⁄3x = 1⁄2(–x + 7) has what type of solution set

Mathematics

1 answer:

Kobotan [32]3 years ago

4 0

Answer:

Unique

Step-by-step explanation:

Let y₁ = 1 - ⁴/₃x (1)

and y₂ = ½(–x + 7) (2)

The slope of Equation (1) is -⁴/₃.

The slope of Equation (2) is -½.

The slopes are different, so there is a unique solution set.

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The 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

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The (1 - α)% confidence interval for the average using the finite correction factor is:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}$

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Compute the 95% confidence interval for the average number of years until the first major repair as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}$

$=3.3\pm 1.96\times\frac{1.47}{\sqrt{183}}\times\sqrt{\frac{1500-183}{1500-1}}\\\\=3.3\pm 0.19964\\\\=(3.10036, 3.49964)\\\\\approx (3.1, 3.5)$

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