Answer:
standard deviation
Step-by-step explanation:
The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.
It is denoted by the Greek letter sigma, σ.
Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.
A = 113.1
so the formula for the area of a circle is
A = pi x r^2
-pi is 3.14(rounded)
-r stands for the radius of the circle which is half the diameter so for this circle your r or radius is 6 and the radius is just squared
so when you plug the numbers in the formula it is
A = 3.14 x 6^2(squared)
A = 3.14 x 36
A = 113.1
For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi
start with the modulus r=sqrt(a^2 +b^2)
=sqrt(-2^2 +2^2)
= sqrt(4+4)
=sqrt(8)
=2sqrt(2)
next the argument, firstly arg=tan(b/a)
= tan(2/2)
=tan(1)
=pi/4 . (exact values table)
Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
= pi-pi/4
= 3pi/4
add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)
note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i
Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi
Hopefully this has been clear enough and good luck
Answer: 3/4
Step-by-step explanation:
4/4 - 1/4 = 3/4
