Answer: 709
Step-by-step explanation:
The formulas we use to find the required sample size :-
1. 
, where 
= population standard deviation,
E = Margin of error .
z* = Critical value
2. 
, where p= prior estimate of population proportion.
3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes
Given : Margin of error : E= 3% =0.03
Critical value for 95% confidence interval = z*= 1.96
A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.
i.e. p=0.21
Then by formula 2., the required sample size will be :
[Round to the next integer.]
Hence, the required sample size of junior executives should be studied = 709
Answer:
254.502
Step-by-step explanation:
IF THE "SHADED AREA" MEANS THE CIRCLE, THEN THIS IS THE ANSWER! Whenever you need to find the area of a circle, you always have to multiply pi by the second power of your radius. The radius is just have of the diamater of the circle, which--in this case--is 18. So the radius of this circle would be 9 and the problem would be: A = pi x 9 to the second power. Although since your teacher said that pi was not in fact 3.14159 etc, and instead 3.142, you have to multiply 3.142 times the second power of 9, and you get 254.502. Hope this helped!
Step-by-step explanation:
area of trapezium= 1/2×sum of parallel sides× height
=1/2×(9+9+7)×8
=1/2×25×8
=100
<em>I </em><em>hope</em><em> </em><em>this</em><em> </em><em>help</em><em>s</em><em>( ╹▽╹ )</em><em>♥</em>
Since log(ab) = log(a) + log(b) and log(a/b) = log(a) - log(b) for any logarithm base, we have
Then using the change-of-base identity, we have
But we also know that 2¹⁰ = 1024 and 2⁵ = 32, so we can back up slightly and instead write
Then the logarithms cancel and you're left with 5/10 = 1/2.
