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2 years ago

Write the linear equation in slope-intercept form and simplify. –4x + 13y = 7

Mathematics

1 answer:

statuscvo [17]2 years ago

4 0

$\\ \sf\longmapsto -4x+13y=7$

$\\ \sf\longmapsto 13y=4x+7$

$\\ \sf\longmapsto y=\dfrac{4x+7}{13}$

$\\ \sf\longmapsto y=\dfrac{4}{13}x+\dfrac{7}{13}$

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Answer:

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Step-by-step explanation:

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3 years ago

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mihalych1998 [28]

Answer:

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2 years ago

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Zielflug [23.3K]

Answer: The 95% confidence interval for the mean of x is (94.08, 101.92) .

Step-by-step explanation:

We are given that ,

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i.e. $\sigma= 12$

Also, it is given that , Sample mean $\overline{x}=98$ having sample size : n= 36

For 95% confidence ,

Significance level : $\alpha=1-0.95=0.05$

By using the z-value table , the two-tailed critical value for 95% Confidence interval :

$z_{\alpha/2}=z_{0.025}=1.96$

We know that the confidence interval for unknown population mean $(\mu)$ is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

, where $\overline{x}$ = Sample mean

$\sigma$ = Population standard deviation

$z_{\alpha/2}$ = Critical z-value.

Substitute all the given values, then the required confidence interval will be :

$98\pm (1.96)\dfrac{12}{\sqrt{36}}$

$=98\pm (1.96)\dfrac{12}{6}$

$=98\pm (1.96)(2)$

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Therefore, the 95% confidence interval for the mean of x is (94.08, 101.92) .

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2 years ago

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and we get

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