Answer:
Mean = 30
standard Deviation = 2.74
Step-by-step explanation:
Formula
mean = np
Standard Deviation = 
from the question = 40
P = 75% or 0.75
q = 1 - p = 1 - 75% or 1 - 0.75
To find mean
mean = 40 x 0.75
= 30
For Standard Deviation (SD)
Standard Deviation =
= 
= 
:. Standard Deviation = 2.74
Let x be the angle
Complement of x is (90 degrees-x)
Supplement of x is (180 degrees-x)
4•(90-x)= 2/3(180-x)
3•4(90-x)=2(180-x)
1080-12x=360-2x
1080-360=12x-2x
720=10x
720/10= x
So x = 72 degrees
The angles that are congruent to one are 4,5, and 8. So the answer would be B. 5.
You are looking for the shaded region that would be contained in both of the inequalities.
You have:


If you graph an shade the correct half-plane for those equations, you will see there is a triangular region on the left side of the first quadrant.
Answer:
(a) 
(b) 
Step-by-step explanation:
Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).
So
Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.
(a)
Therefore, to answer question (a) we use the following equation presented in the attached image:
Where:

Then:

(b)
For part (b) we have:

