Answer:
a) The mean is 0.15 and the standard error is 0.056.
b) 1. Yes
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportions p, in samples of size n, the mean is and the standard error is . The Central Limit Theorem applies is np > 5 and np(1-p)>5.
In this question:
So
(a) Find the mean and the standard error of the distribution of sample proportions.
So the mean is 0.15 and the standard error is 0.056.
(b) Is the sample size large enough for the Central Limit Theorem to apply?
np = 40*0.15 = 6 > 5
np(1-p) = 40*0.15*0.85 = 5.1>5
So yes
Answer:
~1.29 inches
Step-by-step explanation:
C = 2πr
C = 3r + 4.25
2πr = 3r + 4.25
2πr - 3r = 4.25
r(2π-3) = 4.25
r = 4.25/(2π-3) ≈ 1.29
"Break into triangles, then add. In the figure on the right, the polygon can be broken up into triangles by drawing all the diagonals from one of the vertices. If you knowenough sides and angles to find the area of each, then you can simply add them up to find the total." -<span>www.mathopenref.com/polygonirregulararea.html</span>
Answer:
I will answer them from top to bottom
1. 2A
2. 2A-B
3. 2A+3A
4. 2(A-B)
Step-by-step explanation:
You don't need an explanation. I am just putting this here so my answer does not get taken down.
Hello there.
Question: <span>The diameter of a circle is 19 inches. Using the formula C ≈ 3d, what is the approximate circumference of the circle?
Answer: The formula is stating that the circumference is approximately equal to 3 times the diameter.
If the diameter is 19 in then to figure out the approximate value of the circumference you need to multiply it by 3.
19 x 3 = 57.
The circumference is approximately 57 in.
Hope This Helps You!
Good Luck Studying ^-^</span>