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AlekseyPX
3 years ago
7

Find the value of x for which r || S. A) 44 B) 10 C) Can't be determined. D) 14

Mathematics
2 answers:
nlexa [21]3 years ago
5 0
The answer is A because 10 and 14 don’t fit the question at all.
Elodia [21]3 years ago
4 0

Answer:

x=44

Step-by-step explanation:

For the two lines to be parallel, the two angles have to add to 180 degrees

45+3x+3 =180

Combine like terms

3x+48 = 180

Subtract 48 from each side

3x+48-48=180-48

3x=132

Divide each side by 3

3x/3 = 132/3

x =44

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Which of the following phrases can be used to represent -11?
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The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
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Answer:

(4x - 3)(3x² + 1)

Step-by-step explanation:

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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
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Answer:

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  

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".  

\bar X represent the sample mean for the sample  

\mu population mean

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

Confidence =95% or 0.95

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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