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4 years ago

How do I find the answer to 10=7-m

Mathematics

1 answer:

andrey2020 [161]4 years ago

3 0

Answer:

M=-3

Step-by-step explanation:

10=7-m

Subtract 7 from both sides

3=-m

Divide by negative

-3=m

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Three of four numbers have a sum of 22. If the average of the four numbers is 8, what is the fourth number ?

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X+y+z=22

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subsitute
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the fourth number is 10

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3 years ago

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Answer:

The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{0.155}{\sqrt{94}} = 0.0310$

The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²

The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²

The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

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3 years ago