To solve the question we proceed as follows:
length=width=x ; g=height=h
thus
V=x*x*h
v=x^2h
dv/dt=2xh dx/dt+x^2 dh/dt
but
dx/dt=2 ft/sec
dh/dt=-2 ft/sec
thus plugging the values in the equation we get:
dv/dt=2×10×12+10²(-2)
dv/dt=240-200
dv/dt=40 ft³/sec
You could buy $7 for each tin of popcorn and get 8, $8 for 7 tins of popcorn, or $4 for 14 tins of popcorn
C. would be the correct device to use in trials.
But the actual probability is:
(1-1/4)^5
243/1024
(about 23.73% chance none of the five chose vanilla)