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2 years ago

For the following pair of lines, identify the system by type.

Mathematics

1 answer:

lions [1.4K]2 years ago

3 0

Answer:

Inconsistent

Step-by-step explanation:

A system of equation is said to be inconsistent if the lines are parallel or the system of equations have no solution.

From the given graphs of lines, we can say that the lines are parallel to each other. Hence, the graphs never intersect.

Since, the lines are parallel hence, we can say that there would be no solution for the system of equations.

Therefore, the system is inconsistent.

Hence, third option is the correct option.

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Read 2 more answers

Please help me idk this

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Answer:

Step-by-step explanation:

$A=\dfrac{bh}{2}\\\\A=117\ cm^2\\b=13\ cm$

Substitute:

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2 years ago

A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t

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Answer: A. (636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

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

Critical value : $z_{0.05}=1.96$

Sample mean : $\overline{x}=645\text{ hours}$

Standard deviation : $\sigma= 31\text{ hours}$

The 95% confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)$

Hence, 95% confidence interval for population mean is (636.9, 653.1).

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