Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: Number of people that support the candidate.
You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%
The margin of error of the confidence level for the population proportion is
d= 
* 
From this formula you have to clear the value of n:
=
= 
= 
n= 
sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50
d= 0.04
She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%
I hope this helps!
2-i. Complex roots always come in pairs (complex conjugates)
He has seven models because 21 divided by 3 is seven
Given that the raffle prize is to be divided equally, the amount of money each person will receive will be equal to the total raffle prize (14x^(2)/15) divided by the number of people (7x). Thus, we get:
(14x^(2)/15) / 7x
= (14x^(2)/15) * (1/7x)
= 14x^(2)/15*7x
= 14x^(2)/105x
= 2x/15 (Divide both the numerator and denominator by 7x)
Therefor, each person would receive 2x/15 dollars.
If you know how to cancel when dealing with fractions, you can get to this step much easier, however this way also works. The idea with cancelling would be that when you had (14x^(2)/15) / 7x, you would recognise that 14x^2 may be divided by 7x straight away to get 2x. Then you would have 2x/15 as your answer.
Answer:
-8y+12
Step-by-step explanation:
4(-2y +3)
you can distribute the 4
4 • -2y + 4 • 3
= -8y +12
because they are not like terms, you cannot do anything further.
