Explanation:
<em>What is an eighth of 32?
</em>
An eighth of 32 means 32 is divided into eight equal parts.
Let's use a fact family for this problem:
8 * ? = 32
32 / 8 = ?
-------------
8 * 4 = 32
32 / 8 = 4
An eighth of 32 is 4.
Five eights of 32:
Five eighths of 32 is five times four which is 20
20 is 5 eighths of 32
5/8 * 32 = 20
32 * 5 / 8 = 20
The answer is 32.
Let

. Then

, and so as

, you have

. The limit is then equivalent to
Answer: a) Required minimum sample size= 219
b) Required minimum sample size= 271
Step-by-step explanation:
As per given , we have
Margin of error : E= 5% =0.05
Critical z-value for 90% confidence interval : 
a) Prior estimate of true proportion: p=28%=0.28
Formula to find the sample size :-

Required minimum sample size= 219
b) If no estimate of true proportion is given , then we assume p= 0.5
Formula to find the sample size :-

Required minimum sample size= 271
Answer:
Center = (2,5)
Radius = 10
Choice A
To find this answer, first write the equation
(x-2)^2 + (y-5)^2 = 100
into
(x-2)^2 + (y-5)^2 = 10^2
Note how the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2
We see that (h,k) = (2,5) is the center
and r = 10 is the radius