Standard deviations, σ, is generally preferred over range. Reason being, it is calculated from all the data and when there is outliers it will not be impacted as much as the range. It is great to not also that, The IQR is preferred to the standard deviation when the distribution is very highly skewed or when there are severe outliers, because the IQR is less sensitive to this features than standard deviation.
Answer:
time = 28 years
Step-by-step explanation:
Given,
principal amount = $10,000
rate = 4%
total amount = $30,000
According to compound interest formula
![A\ =\ P(1+r)^t](https://tex.z-dn.net/?f=A%5C%20%3D%5C%20P%281%2Br%29%5Et)
where, A = total amount
P = principal amount
r = rate
t = time in years
so, from the question we can write,
![30000\ =\ 10000(1+0.04)^t](https://tex.z-dn.net/?f=30000%5C%20%3D%5C%2010000%281%2B0.04%29%5Et)
![=>\ \dfrac{30000}{10000}\ =\ (1+0.04)^t](https://tex.z-dn.net/?f=%3D%3E%5C%20%5Cdfrac%7B30000%7D%7B10000%7D%5C%20%3D%5C%20%281%2B0.04%29%5Et)
![=>\ 3\ =\ (1.04)^t](https://tex.z-dn.net/?f=%3D%3E%5C%203%5C%20%3D%5C%20%281.04%29%5Et)
by taking log on both sides, we will get
=> log3 = t.log(1.04)
![=>\ t\ =\ \dfrac{log3}{log1.04}](https://tex.z-dn.net/?f=%3D%3E%5C%20t%5C%20%3D%5C%20%5Cdfrac%7Blog3%7D%7Blog1.04%7D)
=> t = 28.01
So, the time taken to get the amount from 10000 to 30000 is 28 years.
Answer:C
Step-by-step explanation: slope of 0 will always be horizontal
First symmetrically cut the octagon to get 8 pieces. (So that you will get the idea that this polygon is divided into 8 triangles)
Then find the area of one of the triangles:
Area of Triangle = ![\frac{1}{2} * b* h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A%20b%2A%20h)
A =
× 12 × 19
A = 114 cm²
To find the area of the whole octagon shape:
A = 114 × 8 = 912 cm²
<em>Hope it helps!</em>
A= (-4,2)
The x value (-4) stays the same when reflected over the x-axis, so only the y-value gets reflected and therefore changed.
The resultant coordinate is (-4,2)