Answer:
Step-by-step explanation:
(3-(-6)) / (6-3) = 9/3 = 3
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:
27 ft^3
Step-by-step explanation:
The total surface area of the cube is 54 ft^2.
A cube has 6 congruent square sides.
54 ft^2/5 = 9 ft^2
Each square side has area 9 ft^2.
The area of a square is the square of the side, so the side of a square is the square root of the area.
side = sqrt(9 ft)^2 = 3 ft
The volume of a cube is the cube of the side.
volume = (3 ft)^3
volume = 27 ft^3
Answer:
600 centimeters. 1 meter is equal to 100 centimeters
12 + 26 + 125 = 163
163 + 0.056(163) = 163 + 9.13 = 172.13
