Answer:
- 102 + (3x +2) = 180 . . . . equation to solve
- x = 25 1/3 . . . . . . . . . . . . value of x
Step-by-step explanation:
It can be helpful to draw a diagram of a parallelogram ABCD and identify the angles in the problem statement. You will find they are adjacent angles.
Adjacent angles in a parallelogram are supplementary, so the sum of the given angle measures will be 180°.
102 + (3x +2) = 180 . . . equation used to solve for x
3x = 76 . . . . . . . . . . . . . subtract 104
x = 76/3 . . . . . . . . . . . . divide by 3
x = 25 1/3 . . . the value of x
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
Hello :
f(x) = 9x-6
g(x) =<span>√(x-4)
</span>(f0g)(x) = f(g(x)) exist if g(x) exist and f(g(x)) exist.
g(1) no exist because : √(1-4) =√(-3) ... no real
conclusion : 1 is not in the domain of : f0g
I think that the point is located in quadrant 2.
