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Answer:
Eccentricity = 5/6
Type of conic section; Ellipse
Directrix; x = -11/5
Step-by-step explanation:
The first step would be to write the polar equation of the conic section in standard form by multiplying the numerator and denominator by 1/6;
The polar equation of the conic section is now in standard form;
The eccentricity is given by the coefficient of cos theta in which case this would be the value 5/6. Therefore, the eccentricity of this conic section is 5/6.
The eccentricity is clearly between 0 and 1, implying that the conic section is an Ellipse.
Since the conic section is in standard form, the numerator is the product of eccentricity and the value of the directrix, that is;
e*d = 11/6
5/6*d = 11/6
d = 11/5
Since the denominator has a minus sign then the ellipse opens towards the right and thus the equation of its directrix is;
x = -11/5
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.