Answer:
3.4
Step-by-step explanation:
Standard deviation of a population is defined as:
σ² = ∑(xᵢ − μ)² / n
The standard deviation of a sample is defined as:
s² = ∑(xᵢ − x)² / (n - 1)
It's not clear which one we have, so let's calculate both.
First, we must find the mean.
μ = (5+12+15+10+12+6+8+8) / 8
μ = 9.5
Now we find the squares of the differences:
(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²
= 80
Divide by n:
σ² = 80 / 8
σ² = 10
And take the square root:
σ = √10
σ ≈ 3.2
That's not one of the answers, so let's try the standard deviation of a sample instead of a population.
Instead of dividing by n, we'll divide by n-1:
s² = 80 / 7
And take the square root:
s = √(80/7)
s ≈ 3.4
So that must be it.
Answer:
Vertical Asymptotes: x=-2,2
Horizontal Asymptotes: y=1
Step-by-step explanation:
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Answer
Step-by-step explanation:
To find the area of a shape multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
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![\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B6%7D%7B5%7D%7D%20%3D%20%5Csqrt%5B4%5D%7Bb%5E4%7D)
![\sqrt[4]{\frac{6}{5}} = b](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B6%7D%7B5%7D%7D%20%3D%20b)
to predict how many bacteria will be present after 10 hours.![b = \sqrt[4]{\frac{6}{5}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B4%5D%7B%5Cfrac%7B6%7D%7B5%7D%7D)
![A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732](https://tex.z-dn.net/?f=A%20%3D%203000%5Csqrt%5B4%5D%7B%5Cfrac%7B6%7D%7B5%7D%7D%5E%7B10%7D%20%3D%204732.3228%20%3D%204732%20)