Answer:
(a) σ² = 144
(b) s² = 12
Step-by-step explanation:
(a) Population variance σ² = ∑(X -
)² / N
The arithmetic mean 


σ² = 
= 
= 
= 
σ² = 144
(b) 

= 12
Answer:
120 MW/hour
Step-by-step explanation:
The formula of the average rate of change between two points in a function is:
Average rate of change (ARC) = f(x2) -f(x1)/(x2-x1)
Let's think the power demad as a function d(x) depending of the hour of the day, so the variable x= hour of the day.
Now we have:
d(5)= 1600
d(8)= 1960
If we apply the mentioned ARC formula = [d(8)-d(5)] MW/(8-5)hour= (1960-1600)MW/3hour= 360/3=120 MW/Hour
Answer:
Step-by-step explanation:
450000000000
Answer:
The correct option is;
ΔCED ~ ΔCAB
Step-by-step explanation:
Given that the translation maps angle ∠D to angle ∠B, we have;
Angle ∠D is congruent to ∠B (Given)
Segment ED is parallel to segment AB (lines having similar angles to a common transversal)
Therefore, ∠A is congruent to ∠E, (Angle on the same side of a transversal to two parallel lines)
∠C is congruent to ∠C reflexive property
Therefore, we have;
∠C ≅ ∠C
∠E ≅ ∠A
∠D ≅ ∠B
Which gives ΔCED is similar to ΔCAB (not ΔCBA)
So first simplify 11/6x into 11x/6. Then -13/10x into -13x/10. So you should now have (-13x/10-11x/4)-3/2. Combine the like terms -13x/10 and -11x/4 to get -81x/20 and then with your left over -3/2= -81x/20-3/2