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Darina [25.2K]
3 years ago
5

What is 2X +7 = 5X -8

Mathematics
2 answers:
inna [77]3 years ago
5 0

Answer:

X=5

Step-by-step explanation:

2X+7=5X-8

7=3X-8

15=3X

5=X

m_a_m_a [10]3 years ago
3 0

Answer:

X=5

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Since they are similar triangles and each of the measurements on the second triangle are divided by two you would do the same for y

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One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
Bess [88]

Answer:

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So the answer for this case would be n=62 rounded up to the nearest integer  

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.  

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\bar X represent the sample mean for the sample  

\mu population mean

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n represent the sample size (variable of interest)  

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The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

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Answer:

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Step-by-step explanation:

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