Let p be the proportion. Let c be the given confidence level , n be the sample size.
Given: p=0.3, n=1180, c=0.99
The formula to find the Margin of error is
ME = 
Where z (α/2) is critical value of z.
P(Z < z) = α/2
where α/2 = (1- 0.99) /2 = 0.005
P(Z < z) = 0.005
So in z score table look for probability exactly or close to 0.005 . There is no exact 0.005 probability value in z score table. However there two close values 0.0051 and 0.0049 . It means our required 0.005 value lies between these two probability values.
The z score corresponding to 0.0051 is -2.57 and 0.0049 is -2.58. So the required z score will be average of -2.57 and -2.58
(-2.57) + (-2.58) = -5.15
-5.15/2 = -2.575
For computing margin of error consider positive z score value which is 2.575
The margin of error will be
ME =
= 
= 2.575 * 0.0133
ME = 0.0342
The margin of error is 0.0342
The functions and their descriptions are:
- Polynomial:
and 
- Logarithm:
- Exponential
<h3>How to describe the functions?</h3>
The functions are given as:
The functions would be described based on the type of function they represent.
Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.
Read more about functions at:
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3 more than 7= 7 +3 3 added to 7= 7 +3 lesson 1-6... five plus x minus 3 2) three times y less 4 3).. seven minus twice the quotient of x and 3
Check the picture below.
notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.
keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.
