Answer:
C
Step-by-step explanation:
The number of points either side of the line of best fit are equal (3 points either side) and the line is the line of best fit.
Answer:
9.60 ; - 60.96
Step-by-step explanation:
Given the function :
F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.
x = 0
F(0)=6(0+1)/25 = 6/25 = 0.24
x = 1
F(1)=6(1+1)/25 = 12/25 = 0.48
x = 2
F(2)=6(2+1)/25 = 18/25 = 0.72
x = 3
F(2)=6(3+1)/25 = 24/25 = 0.96
x = 4
F(2)=6(4+1)/25 = 30/25 = 1.2
X ______0 _____ 1 ______ 2 ______ 3 ____ 4
P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2
Mean, μ = Σx*p(x) :
(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)
= 9.60
Variance : Σx²*p(x) - μ²
(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2
= 31.2 - 92.16
= - 60.96
The equation of a hyperbola is 
/9 - 
/4 = 1
What are the steps to Hyperbola equation ?
To find the equation of hyperbola, the following steps must be taken. You need to identify;
- The coordinate of the center
- The coordinate of the vertices
- The coordinate of the foci
The general equation of a hyperbola can be expressed as
/
- /
= 1
From the graph, we have the following parameters
a = 3
= 
= 9
b = 2
= 
= 4
The equation of a hyperbola can be expressed as
/9 - /4 = 1
The vertices = V(+/-a,0) = (+/-3,0)
The center = C(0,0)
The focus = F(+/-C, 0)
Where 
= +
C = 
C = 
Focus = F(+/- , 0)
The general equation for asymptote = +/- b/a X
= +/-2/3X
Therefore, the equation of a hyperbola can be expressed as
/9 - /4 = 1
Learn more about hyperbola here: brainly.com/question/3405939
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Answer:
$8146.67
Step-by-step explanation:
Under the U.S. Rule, unpaid accrued interest is accumulated separately and is not added to principal. In addition, interest is not calculated until a payment is made.
Principal = $12 000.00
1st period = 40 days
Interest on 1st period
= $12 000 × 0.11 × 40/360 Interest = 146.67
Principal + interest = 12 146.67
-Partial payment = 4 000.00
Adjusted balance = $ 8 146.67
Roger's adjusted balance after the first payment is $8146.67.
