18) The perimeter of a regular hexagon with side 'k' units is *
1 answer:
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Answer:
x = 2, y = 4
Step-by-step explanation:
x + y = 5 ( multiply through by 4 to clear the fraction )
4x + 3y = 20 → (1)
x - y = 0 ( multiply through by 2 to clear the fraction )
2x - y = 0 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate y
6x - 3y = 0 → (3)
Add (1) and (3) term by term to eliminate y
10x + 0 = 20
10x = 20 ( divide both sides by 10 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
4(2) + 3y = 20
8 + 3y = 20 ( subtract 8 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is x = 2, y = 4
Answer: sigma is used for measuring Population Standard Deviation.
Step-by-step explanation:
The lower case Greek letter 'sigma' is denoted by the symbol ( ).
This symbol indicates the Population Standard Deviation of the data. Standard deviation means how much variation or dispersion is there in our data. Squaring of standard deviation gives us Variance which is denoted by the symbol .
Formula for Population Standard deviation ( ) is =
,
where = each value from our list of data
= Population mean of data
N = Number of observations in our data
Standard deviation can never be negative and it is very much sensitive to outliers in our data.