Answer:
Step-by-step explanation:
Given
Lines x and y
Transversal b
Required
Find 
From the attachment, 
and 
are vertically opposite.
This means that
Similarly
and are supplementary angles
So:
Make 
the subject
The relationship between and is that they are supplementary angles because:
Answer:
m = (g - 5) / (a + 3)
Step-by-step explanation:
g-3m=am+5
- Get all the m's on one side.
g - 5 = am + 3m
- Combine the m's into one term, using brackets
g - 5 = (a + 3)m
- Get m on it's own by dividing by a + 3
(g - 5) / (a + 3) = m
For large sample confidence intervals about the mean you have:
xBar ± z * sx / sqrt(n)
where xBar is the sample mean z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α sx is the sample standard deviation n is the sample size
We need only to concern ourselves with the error term of the CI, In order to find the sample size needed for a confidence interval of a given size.
z * sx / sqrt(n) = width.
so the z-score for the confidence interval of .98 is the value of z such that 0.01 is in each tail of the distribution. z = 2.326348
The equation we need to solve is:
z * sx / sqrt(n) = width
n = (z * sx / width) ^ 2.
n = ( 2.326348 * 6 / 3 ) ^ 2
n = 21.64758
Since n must be integer valued we need to take the ceiling of this solution.
n = 22
