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Ede4ka [16]
3 years ago
13

What is the answer to, -2x - 13 = -3x - 5​

Mathematics
1 answer:
shtirl [24]3 years ago
6 0

-2x - 13 = -3x - 5​

Step 1: Combine like terms

x's go with x's (-2x and -3x). To do this add 2x to both sides

(-2x + 2x) - 13 = (-3x + 2x) - 5​

(0) - 13 = (-x) - 5​

- 13 = -x - 5​

normal numbers go with normal numbers ( -13 and -5). To do this add 5 to both sides

(- 13 + 5) = -x + (- 5 +​ 5)

-8 = -x + (0)

-8 = -x

Step 2: Isolate x by dividing -1 to both sides (this will take the negative sign away from the x)

\frac{-8}{-1} =\frac{-x}{-1}

8 = x

x= 8

Hope this helped!

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Part of the graph of the function f(x) = (x - 1)(x + 7) is
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In BOLD.

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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
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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

Now we have everything in order to replace into formula (1):

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

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

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