The sample standard deviation is used to calculate the determine the spread of estimates for a set of observations (i.e., a data set) from the mean (average or expected value).
<h3>What is sample standard deviation?</h3>
The spread of a data distribution is measured by standard deviation. The average distance between each data point and the mean is measured.
The sample standard deviation (s) is a measurement of the variation from the expected values and is equal to the sample variance's square root.
where
s = sample standard deviation
N = the number of observations
= the observed values of a sample item
= the mean value of the observations
Learn more about simple standard deviation, refer:
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Answer:
Step-by-step explanation:
Depending on what type of fraction you're trying to simplify there are different ways.
One subtraction example would be:
6-3/7-4 you minus the numerator and denominator to get 3/3 since we have 3 on both top and bottom our simplified answer would be 1
Answer:
Step-by-step explanation:
I am going to say that:
Mary's amount is x.
Ashley's amount is y.
Oscar's amount is z.
Mary has at least 3 times the amount of cash that ashley and oscar have combined
Ashley's and Oscar's combined amount is y + z.
3 times this amount is 3(y + z).
At least 3 times means that z is equal or greater than 3(y + z).
So
Answer:
a. V = (20-x) 
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Answer:
g(3) = 17
Step-by-step explanation:
Step 1: Define
g(x) = 5x + 2
g(3) = x = 3
Step 2: Substitute and Evaluate
g(3) = 5(3) + 2
g(3) = 15 + 2
g(3) = 17
