That is a parabola.
All domain of a parabola are, (-∞,∞).
The range would be, (-∞, 0]
Answer:
no solution
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| - a | = | a | = a
Given
- 10 | 5x + 5 | = 100 ( divide both sides by - 10 )
| 5x + 5 | = - 10
The absolute value cannot be negative thus the equation has no solution
Answer:
u = 4.604 , s = 2.903
u' = 23.025 , s' = 6.49
Step-by-step explanation:
Solution:
- We will use the distribution to calculate mean and standard deviation of random variable X.
- Mean = u = E ( X ) = Sum ( X*p(x) )
u = 1*0.229 + 2*0.113 + 3*0.114 + 4*0.076 + 5*0.052 + 6*0.027 + 7*0.031 + 8*0.358.
u = 4.604
- Standard deviation s = sqrt ( Var ( X ) = sqrt ( E ( X^2) + [E(X)]^2
s = sqrt [ 1*0.229 + 4*0.113 + 9*0.114 + 16*0.076 + 25*0.052 + 36*0.027 + 49*0.031 + 64*0.358 - 4.604^2 ]
s = sqrt ( 8.429184 )
s = 2.903
- We will use properties of E ( X ) and Var ( X ) as follows:
- Mean = u' = E (Rate*X) = Rate*E(X) = $5*u =
u' = $5*4.605
u' = 23.025
- standard deviation = s' = sqrt (Var (Rate*X) ) = sqrt(Rate)*sqrt(Var(X)) = sqrt($5)*s =
s' = sqrt($5)*2.903
u' = 6.49
25/3 (8 and 1/3) would go on the first short line right after the 4th long line (5 is the first one)
42/3 (14) would go on the long line right before the one labeled 15.