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3 years ago

A surfboard has an original price of $259. It is on sale for 55% off the original price.

Mathematics

2 answers:

PIT_PIT [208]3 years ago

6 0

Answer:

$116.55

Step-by-step explanation:

If original price= $259

And sale= 55% off original price

Then price after sale=(100%-55%) of $259

Working:

100%-55%=45% or $\frac{45}{100}$

45% of $259 or $\frac{45}{100}$ x $\frac{259}{1}$ = $116.55

grin007 [14]3 years ago

5 0

I'm not sure what answer you need for this question?
original price: 259
sale: 55% off
55%=0.55
so 259×0.55=142.45
142.45 is the 55% of the original price
259－142.45=116.55
116.55 is the price after sale.
hope this would help. (*^ω^*)/

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Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

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Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

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".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 represent the sample size

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)

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

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 tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$