The distance that the yellow ball must travel after hitting the back wall to land in the pocket must be 45 inches.
Hope this helps.
I suppose the integral is
The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set
Then 
, 
, and 
. So the integral becomes
The margin of error decreases with an increased sample size and increases with an increase in confidence level.
Speed: distance traveled in a given time
y=distance ( given in miles).
x = time (given in minutes)
Speed = y/x
y = 39.4x
By rearranging this y/x =39.4 ( is the constant speed). don’t forget this is mile/minutes
There are 4 x 60 minutes in 4 hours
Hence, you are asked the distance (y) in 240 min
y = 39.4x
y = 39.4 miles/minutes x (240) minutes
y = 9456 miles
