The difference between two numbers is 8. The greater number is n. Write an expression that represents the lesser number.

Mathematics

1 answer:

Darya [45]3 years ago

6 0

-m = 8 - m (need to have at least 20 characters)

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Isaac recorded the number of minutes he practiced on duolingo each day last week.

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Answer:

Step-by-step explanation:

20 + 30 + 25 + 15 + 25 = 115

115 / 5 = 23

20 - 23 = |-3|

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25 - 23 = 2

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Step-by-step explanation:

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A factory makes propeller drive shafts for ships. A quality assurance engineer at the factory needs to estimate the true mean le

borishaifa [10]

Answer:

$1000-1.96\frac{2}{\sqrt{4}}=998.04$

$1000+1.96\frac{2}{\sqrt{4}}=1001.96$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$