Answer:
y hat = 2114.20 + 18.96x
Step-by-step explanation:
Given the least square regression model equation:
y hat = -959.00 + 8.60x
weld diameter x ; shear strength y (in pounds)
1 lb = 0.4536 kg
To express shear strength y in kilogram:
y is multiplied by 0.4536
(y hat × 0.4536) = -959.00 + 8.60x
Divide both sides by 0.4536
(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536
y hat = 2114.1975 + 18.959435x
y hat = 2114.20 + 18.96x
Answer: f(0) = 6.
Explanation:
Ther ordered pairs are: (x,y) or (x, f(x) )
So, (1,0) means that f(1) = 0 which denies the fourth choice.
(-10,2) means that f(-10) = 2 which denies the first choice
(0,6) means that f(0) = 6, which is the third choice. So, that is the true equation.
9514 1404 393
Answer:
D. -17%
Step-by-step explanation:
The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...
-20/120 = -1/6
As a percentage, that change is ...
-1/6 × 100% ≈ -16.667% ≈ -17%
The electric bill changed by about -17% from March to April.
_____
<em>Additional comment</em>
Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.
The percentage change is found by ...
% change = ((new amount)/(original amount) -1) × 100%
Above, we have rearranged this to ...
% change = ((new amount) -(original amount))/(original amount) × 100%
Answer:
x=3
y=-2
Step-by-step explanation:
2x - 5y = 16
3x + 2y = 5
Solve for x in the first equation.
2x - 5y = 16
2x = 16 + 5y
x = (16 + 5y)/2
x = 8 + 5/2y
Put x as 8 + 5/2y in the second equation and solve for y.
3(8+5/2y) + 2y = 5
24+15/2y + 2y = 5
24 + 19/2y = 5
19/2y = 5-24
19/2y = -19
y = -2
Put y as -2 in the first equation and solve for x.
2x - 5(-2) = 16
2x +10 = 16
2x = 16-10
2x = 6
x = 3
