Yes, they are equivalent. they are because they both simplify to be 5x-10. the second expression is the first expression slightly simplified.
Answer:
A) Professor A failure proportion = 0.12 ; B) Average = 0.1 ; C) σ = 0.055
Step-by-step explanation:
1) Proportion of failures for Prof A : Failure / Total
= 12 / 100 = 0.12
2) Proportion of failures for Prof B : 1/ 100 = 0.01
Proportion of failures for Prof C : 11 / 100 = 0.11
Proportion of failures for Prof D = 16 / 11 = 0.16
Average proportional failure for all instructors :-
[ Prop (prof A) + Prop (prof B) + Prop (prof C) + Prop (prof D) ] / 4
(0.12 + 0.01+ 0.11 + 0.16 ) / 4 = 0.4 / 4 = 0.1
3) Standard Deviation (σ) = √ Σ (x - x')^2 / n , where x' = mean = 0.1
x x - x' (x - x')^2
0.12 0.02 0.0004
0.01 -0.09 0.0081
0.11 0.01 0.0001
0.16 0.06 <u>0.0036 </u>
<u>Σ = 0.0122</u>
σ = √ 0.0122/ 4 = √0.00305 = 0.055
She has 16 friends because when you subtract 8 from 40 you get 32 and then you divide 32 by 2 cause she gave two prizes and so dividing it will give you 16
6 is in the tenths place.
Written Form: 0.6
Answer:
-0.5x² + 20x + 100
Step-by-step explanation:
Given:
R = 25x - 0.5x²
C = 100 + 5x
P = R - C
Where,
P = profits
R = Revenue
C = Cost
which expression represents her profit in dollars?
P = R - C
R = 25x - 0.5x²
C = 100 + 5x
= 25x - 0.5x² -(-100 + 5x )
= 25x - 0.5x² + 100 - 5x
= -0.5x² + 20x + 100
The expression which represents her profit in dollars is -0.5x² + 20x + 100
