Answer:
The measure of the sum of interior angles of a 11-gon is 
.
Each interior angle is approximately 
.
Step-by-step explanation:
A convex polygon has the measure of each interior angles to be less than 
.
But,
sum of interior angles of polygon = (n - 2) x
where n is the number of sides of the polygon.
For a convex 11-gon, we have;
sum of angles of a 11-gon = (11 - 2) x
= 9 x
=
Sum of angles of a 11-gon =
To check: convex polygons' interior angles are less than .
so that,
each interior angle of 11-gon = 
=
Answer:
39 units²
Step-by-step explanation:
Quadrilateral VEDR has a width of 5 units and a height of 6 units, so an area of ...
(5 units)(6 units) = 30 units²
Triangle MVR has a base (VR) of 6 units and a height (M to VR) of 3 units, so an area of ...
(1/2)(6 units)(3 units) = 9 units²
Then the total area of the polygon MVEDR is ...
30 units² +9 units² = 39 units²
Answer:
The best choice would be hiring a random employee from company A
Step-by-step explanation:
<em>Supposing that the performance rating of employees follow approximately a normal distribution on both companies</em>, we are interested in finding what percentage of employees of each company have a performance rating greater than 5.5 (which is the mean of the scale), when we measure them in terms of z-scores.
In order to do that we standardize the scores of both companies with respect to the mean 5.5 of ratings
The z-value corresponding to company A is
where
= mean of company A
= 5.5 (average of rating between 1 and 10)
s = standard deviation of company A
We do the same for company C
This means that 27.49% of employees of company C have a performance rating > 5.5, whereas 71.42% of employees of company B have a performance rating > 5.5.
So, the best choice would be hiring a random employee from company A
8=8,16,24,32,40,48,and so on
56= 56, 112, 168
