Answer:
150°
Step-by-step explanation:
You are given the formula for the sum of the interior angles where n is the number of sides.
Substitute 12 in:
(12-2)×180
=10×180
=1800
To find an individual angle, divide the sum by n.
1800÷12=150
The equation of a circle is <em>(x-h)^2+(y-k)^2=r^2</em>, where <em>(h,k)</em> is the center and <em>r</em> is the radius. Our equation will be (x-3)^2+(y+2)^2=25 (remember to always square the radius).
:)
Answer:
±square root 20
Step-by-step explanation:
x²= 20
x= square root 20
x= 2 square root 5
x≈ 4.4721
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