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lara31 [8.8K]
2 years ago
5

2y=x+6 2y-x=6 how do i solve following the system of equations

Mathematics
1 answer:
Margarita [4]2 years ago
7 0

2y = x + 6 \\  \\ 1. \: 2y - 6 = x \\ 2. \: x = 2y - 6 \\  \\  \\ 2y - x = 6 \\  \\ 1. \:  - x = 6 - 2y \\ 2. \: x =  - 6 + 2y \\  3. \: x = 2y - 6

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Klio2033 [76]

Answer:

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Step-by-step explanation:

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Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

H_0: \mu_D - \mu_C = 0

At the alternative hypothesis, it is tested if they are different, hence:

H_1: \mu_D - \mu_C \neq 0

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

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Hence, for the distribution of differences, they are given by:

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<h3>What is the test statistic?</h3>

The test statistic is given by:

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Hence:

z = \frac{\overline{x} - \mu}{s}

z = \frac{-2 - 0}{0.76}

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Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

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