Answer:
σ = 3.08
Step-by-step explanation:
Given
6, 5, 13, 8
Required
Standard Deviation
Take note of the following highlighted steps
1. Calculate the Mean
Mean = summation of data ÷ number of data
Summation = 6 + 5 + 13 + 8
Summation = 32
Number of data = 4
Mean = 32/4
Mean = 8
2. Subtract the mean from given data
6:-> 6 - 8 = -2
5:-> 5 - 8 = -3
13:-> 13 - 8 = 5
8:-> 8 - 8 = 0
We have; -2, -3, 5, 0
3. Square these results
-2:-> -2² = 4
-3:-> -3² = 9
5:-> 5² = 25
0:-> 0² = 0
We have: 4, 9, 25, 0
4. Calculate the mean of these results
Mean = summation of data ÷ number of data
Summation = 4 + 9 + 25 + 0
Summation = 38
Number of data = 4
Mean = 38/4
Mean = 9.5
Step 5: Take square root of the above
Standard Deviation, σ = √9.5
σ = 3.08220700148
σ = 3.08 (Approximated)
Answer:
2
Step-by-step explanation:
it should be the second one
The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
![\rm b_1(t) = 500(1.6)^t](https://tex.z-dn.net/?f=%5Crm%20%20b_1%28t%29%20%3D%20500%281.6%29%5Et)
a) As the base of the exponent is greater than 1 so it is exponential growth.
b) 500 in the equation represents the initial value.
c) We have another exponential equation:
![\rm b_2(t) = 800(1.6)^t](https://tex.z-dn.net/?f=%5Crm%20%20b_2%28t%29%20%3D%20800%281.6%29%5Et)
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
![\rm b_1(t) = 500(1.6)^t](https://tex.z-dn.net/?f=%5Crm%20%20b_1%28t%29%20%3D%20500%281.6%29%5Et)
The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.
Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
Learn more about exponential decay here:
brainly.com/question/14355665
#SPJ1
Answer:
40.81 centimeters is the corrects answer. use addition to add them all together