Alison earns $75 per week working at the grocery store. She wants to save 25 percent of her weekly earnings. How much should she
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Answer:
It cannot be divided by any number and equal a whole number.
Step-by-step explanation:
Okay, so I'm going to give an example of the simplifying process.
If you were to just type this in to a calculator you would get 15.58 and so on, so that means we have to just simplify instead of solving for accuracy purposes.
So take 243 and divide it by a number that can go into it equally. I'm going use 3. When you do that you get 81. Usually when I do this I draw it out to better see it, so I'm going to try for you. The 3 is prime so we can't simplify that term anymore, but you can still simplify the 81, so that is what we do next. I'm going to use 3 to make it easier in the end results. Notice 3 is prime but 27 still is not, so we repeat this process again. I'm gonna stick with 3. Now simplify the 9.
243
3 81
3 27
3 9
3 3
For every pair of number we have that are the same we get to put one outside the sqareroot sign (I know that sounds confusing). Start by listing them like this.
3 x 3 x 3 x 3 x 3
Now organize into groups of two.
(3x3)(3x3)(3) Notice we have two groups that are paired. This means we can take two 3's and bring them outside the squareroot sign. Like this
The lone 3 just goes back in the squareroot. once you can't find a number to divide the number inside the sign by you have simplified the expression completely. Hope that makes some sense
From the data given, we estimate the population mean and population standard deviation. Then, we use this estimate to find a 95% confidence interval for the population variance and the population standard deviation.
Sample:
Salaries in millions of dollars: 2.2, 1.5, 0.5, 1.3, 2.4, 1.5, 2.7, 0.3, 2.0, 0.3
Question a:
The mean is the sum of all values divided by the number of values. So
The sample mean salary is of 1.42 million.
Question b:
The standard deviation is the square root of the difference squared between each value and the mean, divided by one less than the number of values.
So
Thus, the estimate for the population standard deviation is of 0.8772 million.
Question c:
The sample size is
The significance level is
The estimate, which is the sample standard deviation, is of .
Now, we have to find the critical values for the Pearson distribution. They are:
The confidence interval for the population variance is:
Thus, the 95% confidence interval for the population variance is (0.3641, 2.5646)
Question d:
Standard deviation is the square root of variance, so:
The 95% confidence interval for the population standard deviation is (0.6034, 1.6014).
For more on confidence intervals for population mean/standard deviation, you can check brainly.com/question/13807706