Answer:
Odd
Step-by-step explanation:
Answer:
20 Outcomes.
Step-by-step explanation:
A-1 A-2 A-3 A-4
B-1 B-2 B-3 B-4
C-1 C-2 C-3 C-4
D-1 D-2 D-3 D-4
E-1 E-2 E-3 E-4
Hope this helps!
Answer:
270
Step-by-step explanation:
Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.
S/J = 180/200
Now you make your proportion
S/J = x/300
But the 2 ratios much remain the same.
180/200 = x / 300 Multiply both sides by 300
180*300/200 = x Multiply the numerator together.
54000/200 = x Do the division
270 = x
Smith will have turned out 270 relays.
<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)
So, dr/dx x dr/dy = (2x, 2y, 1)
So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx
= 28/5 + 40/9 - 1/4
= 1763/180 </span>
