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
For sample size
calcualtions we need the following. The width of the interval, from one end
point to the center is:
z * sx / sqrt(n) =
w and solving for n gives:
<span> n = (z * sx / w) ^ 2 </span>
remember that n needs to
be an integer. Always take the ceiling, i.e., round up. If you round down then
the width of the interval will not be correct, it will be too wide. By rounding
up, the interval will be more narrow than asked for, but this is a good thing.
It means there is more precision in the estimate.
<span> here we have </span>
z = 2.05
w = 0.04 * 152 = 6.08
n = (z * sx / w) ^ 2 n =
(2.05 * 26 / 6.08)^2
n = 76.8506
Round of the answer since
n must be an integer.
<span>n = 77 </span>
if your teacher allows the pi symbol then your answer is 2513. if your teacher requires you to use 3.14 for pi then your answer is 2512. basically you use the Pythagorean theorem to find the height, and then plug the height (24) and the radius which is half the diameter (10) into the equation to find the volume of the cone. if you have any other questions about it please ask! hope this helps:)
Answer:
15
Step-by-step explanation:
7-(-1) is 8
8 divided by 4 (x or “run” of slope) is two
Two times five (y/rise of slope) is ten
5 (from original point -1,5) plus 10 is 15
(7,15)
10 / 10+x = 35 / 56
560 = 350 + 35x
35x = 560 - 350
35x = 210
x = 210/35
x = 6
So, your final answer is 6
Hope this helps!
Answer:
The answer is (B)
Step-by-step explanation:
27/30 reduced is 9/10
25/30 reduced is 5/6
