Answer:
y = 4.69X + 52.93 ;
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690. ;
$86000
Step-by-step explanation:
Given the data:
X:
34
66
89
56
71
80
111
51
23
36
100
35
71
68
163
56
86
58
128
33
Y:
3
1
4
3
7
2
7
0
7
2
1
1
6
9
5
0
5
4
9
0
The regression equation obtained using a linear regression calculator :
y = 4.689X + 52.93182
Where ;
y = Salary ; x = Educational attainment
Slope is the Coefficient of x = 4.689
Intercept = 52.93
The slope value in thousand = 4.689 * 1000 = 4689 = 4690 (the slope is interpreted to the mean the change in y value per unit change in the value of x)
Therefore, salary increases by about $4690 for every unit increase.
If x = 7
y = 4.689(7) + 52.93182
y = 32.823 + 52.93182
y = 85.7548
Salary =, $86,000
Answer:
Current, I = 4.47 Amperes.
Step-by-step explanation:
Given the following data;
Inductance = 24H
Energy stored, Eind = 240J
To find the current;
The energy stored in an inductor is given by the formula;
Eind = ½LI²
240 = ½*24*I²
Cross-multiplying, we have;
480 = 24I²
I² = 480/24
I² = 20
Taking the square root of both sides, we have;
Current, I = 4.47 Amp
Step-by-step explanation:
x = 1.21212121.....
100x = 121.21212121...
Therefore 99x = 120 and x = 120/99 = 40/33.
Difference of 2 perfec squares is
(a^2)-(b^2)
if the exponents are both even and the coeficient (the number in front) are perfect squares, then it is difference t 2 perfect squares
first one
8 is not perfect square
2nd one
(4e^4)^2-(9g^2)^2
third
25 is odd, so it cannot be split up into 2 nice numbers
4th
(11m^9)^2-(3n^5)^2
