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serg [7]
3 years ago
15

5a-(8-a)=4a-10 equation:

Mathematics
2 answers:
cluponka [151]3 years ago
7 0
5a-(8-a)=4a-10 \\
5a-8+a=4a-10 \\
6a-8=4a-10 \\
6a-4a=-10+8 \\
2a=-2 \\
a=-1
Iteru [2.4K]3 years ago
7 0
<u />5a-(8-a)=4a-10\ \ \ |Omit\ the\ bracket\\\\&#10;5a-8+a=4a-10\\\\&#10;6a-8=4a-10\ \ \ |Subtract\ 4a\\\\&#10;2a-8=-10\ \ \ |Add\ 8\\\\&#10;2a=-2\ \  |Divide\ by\ 2\\\\&#10;\boxed{a=-1}
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Answer:

Option a) A 95% confidence interval for the mean diameter of the 120 bearings in the sample is 10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}.

Step-by-step explanation:

We are given the following information in the question:

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\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}

Hence, the correct interpretation for the confidence interval is given by option a).

A 95% confidence interval for the mean diameter of the 120 bearings in the sample is 10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}.

We have to consider the factor of sampling of 120 ball bearings from a population of 10,000 ball bearings.

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