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
Answer:
x = 47°
y = 10
z = 5
Step-by-step explanation:
They share the middle line which is one side. It's given that side y is congruent to the side with a value of 5. Angle X and the non labeled angel are also congruent to each other. Using SAS (side angle side) we can conclude the 2 triangles are congruent, which means all angles and sides are congruent and equal.
The angles of a triangle add to 180.
x+90+43=180
x=47
z is congruent/equal to 5 since they are congruent and equal triangles. Therefore z=5
Y is congruent to side 10, which also means it is equal to 10. Therefore y=10
Answer:
C. The temperature was 32 degrees higher when t = 7 than when t = 3
Step-by-step explanation:
cause i big brain
Answer:
The answer is c.
Step-by-step explanation:
