A skirt was originally priced $32. It is on sale for $24. What percent is the discount
2 answers:
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Answer:
4.38%
Step-by-step explanation:
<em>Assuming simple interest</em>, we start by writing the formula for simple interest.
Where
SI is the interest amount (328.13)
P is the principal amount (2500)
r is the rate of interest (what we need to find)
t is the time, in years (t = 3)
Since we want rate of interest, we re-arrange the formula to get r in terms of the other variables. Shown below:
Now we simply plug-in the information we know and find r:
To convert into percentage, we multiply by 100:
r = 0.0438 * 100 = 4.38%
Answer:
So on this case the 85% confidence interval would be given by (7.2;7.4)
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".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=830 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.85 or 85%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.075,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 85% confidence interval would be given by (7.2;7.4)