Answer:
A. The coefficient of variation is best used when comparing two data sets that use the same units of measure.
Step-by-step explanation:
The coefficient of variation (CV), is simply the standard deviation (itself a measure of variance or variation) relative to the mean of a distribution.
The coefficient of variation expresses a random variable’s variability in percentage terms. Therefore it is possible, through the coefficient of variation, to compare the variability of data across different samples, especially if the random variables are recorded in different units of measurement (such as cm, kg and minutes).
A coefficient of variation is always interpreted as a percentage. <u>Mathematical representation is:</u>

The coefficient of variation is best used when comparing two data sets that use the same units of measure.
Hence, the option (A) is the correct option.
The correct structure of the question is as follows:
The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.
Answer:
Step-by-step explanation:
Given that:
f(x) = x^3
Then;
V = x^3
The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V
dV/dx = 3x^2
Now, at the moment when x = 3;
dV/dx = 3(3)^2
dV/dx = 3(9)
dV/dx = 27 cubic inch per inch
Suppose it is at the moment when x = 9
Then;
dV/dx = 3(9)^2
dV/dx = 3(81)
dV/dx = 243 cubic inch per inch
Answer:
C. $538,021.66
Step-by-step explanation:
It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,
Amount withdrawn every quarter, P = $4567
Rate of interest, r =
= 0.002525
Time period, n = 35 × 4 = 140
Now, as we know the formula for annuity as,

where P = installments, PV = present value, r = rate of interest and n = time period.
This gives, ![PV=\frac{P \times [1-(1+r)^{-n}]}{r}](https://tex.z-dn.net/?f=PV%3D%5Cfrac%7BP%20%5Ctimes%20%5B1-%281%2Br%29%5E%7B-n%7D%5D%7D%7Br%7D)
i.e. ![PV=\frac{4567 \times [1-(1+0.002525)^{-140}]}{0.002525}](https://tex.z-dn.net/?f=PV%3D%5Cfrac%7B4567%20%5Ctimes%20%5B1-%281%2B0.002525%29%5E%7B-140%7D%5D%7D%7B0.002525%7D)
i.e. ![PV=\frac{4567 \times [1-(1.002525)^{-140}]}{0.002525}](https://tex.z-dn.net/?f=PV%3D%5Cfrac%7B4567%20%5Ctimes%20%5B1-%281.002525%29%5E%7B-140%7D%5D%7D%7B0.002525%7D)
i.e. ![PV=\frac{4567 \times [1-0.7021]}{0.002525}](https://tex.z-dn.net/?f=PV%3D%5Cfrac%7B4567%20%5Ctimes%20%5B1-0.7021%5D%7D%7B0.002525%7D)
i.e. 
i.e. 
i.e. 
So, the closest answer to initial value of the account is $538,021.66
Hence, option C is correct.
Answer:
x = 2.5 inches. Or
x = 5/2
Step-by-step explanation:
Length: 7 + 2x
Width: 5 + 2x
Note that you have to add x at each end of the picture and onto each part of the width.
The entire area is 120 square inches.
Formula
L*W = Area
(2x + 7)(2x + 5) = 120
Solution
4x^2 + 10x + 14x + 35 = 120 Subtract 120 from both sides. Add xs
4x^2 + 24x + 35 - 120 = 0
4x^2 + 24x - 85 = 0 Factor
(2x + 17)(2x - 5)
2x + 17 has no meaning. It will give - 8.5 which is not possible.
2x - 5 =0
2x = 5 Divide by 2
x = 5/2
x = 2.5
Note: I don't know which one the computer is looking for.
Answer:
it is 2^21
Step-by-step explanation: