Answer:3
Step-by-step explanation:
B)One ball is drawn from a bag of balls after another ball is drawn without replacement.
C)Two number cubes are rolled at the same time.
D)White marbles are drawn from a bag of marbles without replacing the marbles
Answer:
Independent events are those events when the happening of one event does not affect the happening the other event.
In the given example we have the following events as independent:
A) A spinner is spun and a coin is flipped
C) Two number cubes are rolled at the same time.
Both these events are independent because the happening of one event does not affect the other in both the cases.
But the options B and D are not independent because in both the cases happening of first event affects the happening of the next event. Therefore, the correct options are A and C.
Answer:
A) A spinner is spun and a coin is flipped
C) Two number cubes are rolled at the same time
Volume is a three-dimensional scalar quantity. The maximum volume of the box is 0.8m³.
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Surface area of the box = 2x² + 3xy
Surface area of lid = 2xy
Total area = 2x² + 5xy = 6
y = (6-2x²)/5x
Volume of the box, V = x²y
V = x²[(6-2x²)/5x] = (6x/5)-(2x³/5)
Now, for the volume to be the maximum,
dV/dx = 0
(6/5)-(6x²/5) = 0
x² = 1
x = ±1
y = 4/5
Thus, the maximum volume of the box = x²y = (1)²×(4/5) = 0.8 m³
Hence, the maximum volume of the box is 0.8m³.
Learn more about Volume:
#SPJ2
Answer:
m ≠ 0
Step-by-step explanation: