The answer should be option C.
Answer:
√3/3
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate.
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Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
If the radical in the denominator is a square root, then you multiply by a square root that will give you a perfect square under the radical when multiplied by the denominator. If the radical in the denominator is a cube root, then you multiply by a cube root that will give you a perfect cube under the radical when multiplied by the denominator and so forth...
Note that the phrase "perfect square" means that you can take the square root of it. Just as "perfect cube" means we can take the cube root of the number, and so forth.
Keep in mind that as long as you multiply the numerator and denominator by the exact same thing, the fractions will be equivalent.
Step 2: Make sure all radicals are simplified.
Some radicals will already be in a simplified form, but make sure you simplify the ones that are not. If you need a review on this, go to Tutorial 39: Simplifying Radical Expressions.
Step 3: Simplify the fraction if needed.
Be careful. You cannot cancel out a factor that is on the outside of a radical with one that is on the inside of the radical. In order to cancel out common factors, they have to be both inside the same radical or be both outside the radical.
For the first 6, we see that it is exactly one place behind the decimal point, therefore meaning that it is in the tenths place. The second 6 is three places behind the decimal place making it in the thousandths place. The third and final 6 is one place in front of the decimal, therefore it is in the ones place. Hope this helps!
Answer:
(1)
The point estimate of the population mean is ![\hat \mu = \bar X In order to calculate the critical value [tex]t_{\alpha/2}](https://tex.z-dn.net/?f=%5Chat%20%5Cmu%20%3D%20%5Cbar%20X%20%3C%2Fp%3E%3Cp%3EIn%20order%20to%20calculate%20the%20critical%20value%20%5Btex%5Dt_%7B%5Calpha%2F2%7D)
we need to find first the degrees of freedom, given by:
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)
s=240 represent the sample standard deviation
n=64 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
The point estimate of the population mean is we need to find first the degrees of freedom, given by:
