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Umnica [9.8K]
3 years ago
8

The standard deviation is expressed in absolute terms (i.e. in the same unit of measure as the data: lbs;inches;dollars;etc) whi

le the coefficient of variation is relative measure?
a. True.
b. False.
Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

a) True

Step-by-step explanation:

The given statement is true.

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

The standard deviation express the variation of data from the mean and therefore, have the same unit as the data like lbs, inches, dollars, etc.

Coefficient of variation on the other hand is the ratio of standard deviation and mean. It is also a measure of dispersion but since it is a ratio, the units cancel each other.

C.V = \dfrac{s}{\bar{x}}

Thus, coefficient of variation is dimensionless.

Thus, it is a relative measure.

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ms Callahan is building a new dog pen for her dog. she has 24feet of fencing. the pen needs to be a rectangle. what is the lengt
NeX [460]
If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet.  The perimeter is basically the distance around a figure.  The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w.  In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.

So, the formula is P=2l+2w.  P, the perimeter, is 24, so 24=2l+2w.  Let's try some values for l and see what we get for w.  If the length is 1, l=1.  24=(2*1)+2w.  24=2+2w.  22=2w.  w=11.  So if length is 1 foot, width is 11 feet.

What if l=2?  24=(2*2)+2w.  24=4+2w.  2w=20.  w=10.  If l=2, w=10.  And l=3?  24=(2*3)+2w.  24=6+2w.  18=2w.  w=9.  If l=3, w=9.  Do you see a pattern?  Every time we add 1 to l, we subtract 1 from w.  So if l=4, w=8.  If l=5, w=7.  If l=6, w=6.  Here, we start getting similar answers: if l=7, w=5.  If l=8, w=4.  Since we already know these values work, it doesn't matter whether we call it length or width.  So, our answers are below.

Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
6 0
3 years ago
Write an equation for the nth term of the arithmetic sequence.<br> 17, 12, 7, 2, ...<br> an=
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Answer:

An equation for the nth term of the arithmetic sequence 17, 12, 7, 2 is 17-5n.

Step-by-step explanation:

Given,

first term(a)=17

common difference (d)=t2-t1

=12-17

=-5

nth term of the arithmetic sequence = a+n×d

=17+n×-5

=17-5n

5 0
3 years ago
Solving for matrices
muminat

Answer:

D

Step-by-step explanation:

The augmented matrix for the system of three equaitons is

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\5&2&-2&|&11\\5&-4&4&|&-7\end{array}\right)

Multiply the first row by 5, the second row by -3 and add these two rows:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\5&-4&4&|&-7\end{array}\right)

Subtract the third row from the second:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&6&-6&|&18\end{array}\right)

Divide the third row by 6:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&1&-1&|&3\end{array}\right)

Now multiply  the third equation by 26 and add it to the second row:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&0&-45&|&-90\end{array}\right)

You get the system of three equations:

\left\{\begin{array}{r}3x-4y-5z=-27\\-26y-19z=-168\\-45z=-90\end{array}\right.

From the third equation

z=\dfrac{90}{45}=2.

Substitute z=2 into the second equation:

-26y-19\cdot 2=-168\\ \\-26y-38=-168\\ \\-26y=-168+38=-130\\ \\y=\dfrac{130}{26}=5.

Now substitute z=2 and y=5 into the first equation:

3x-4\cdot 5-5\cdot 2=-27\\ \\3x-20-10=-27\\ \\3x-30=-27\\ \\3x=-27+30=3\\ \\x=1.

The solution is (1,5,2)

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Answer:

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Step-by-step explanation:

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maks197457 [2]

Step-by-step explanation:

5y + 1 = 1 \\ subtracting \: 1 \: from \: both \: sides \\ \red{ \boxed{ \bold{ 5y + 1 - 1 = 1 - 1}}} \\ 5y = 0 \\ y = 0

4 0
3 years ago
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