Answer:
Step-by-step explanation:
The given equation is 
We substitute the ordered pairs to see which ones satisfies the equation.
For (-1,-8), we put x=-1 and y=-8 to get:
This is not true.
For 
we put x=-1 and 
to get
This is true
For (3,3/2) we have 2(3)+6(3/2)=15
This implies 6+9=15
15=15
This is also True
For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15
This is also true.
Step-by-step explanation:
HJ ≅ JH, by symmetric property of equality.
ΔGHJ ≅ ΔIJH, by SAS congruence.
GJ ≅ IH, corresponding parts of congruent triangles are congruent.
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
2/5 in decimal form would be 0.4
is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
