Consider the point P where the gears meet. When the smaller gear rotates clockwise, the larger one will rotate counterclockwise.
Through one rotation of the smaller gear, P will have traveled the circumference of the smaller gear, which is 
in.
At the same time, a point P' on the larger gear traverses the same distance along the larger gear's circumference. This point traces out an arc that is subtended by some angle 
. The arc is as long as the smaller gear's circumference.
The measure of a circle's interior angle subtended by an arc is proportional to a complete revolution, i.e. an angular displacement of 
radians:
For part 2, we apply the same reasoning to the larger gear. In one full rotation of the larger gear, the point P' traverses the circumference 
in, and so does the point P on the smaller gear.
A full rotation is 360 degrees, so the smaller gear would have rotated 
times.
I believe it could be 28 and 32
Answer:
13.92
Step-by-step explanation:
We have that the critical z-score associated with 85% to the left is 1.04, we know that by table.
So we have to:
m + z * (sd) = 16
where m is the mean, z is the critical z-scor and sd is the standard deviation, if we replace we are left with:
m + 1.04 * (2) = 16
m = 16 - 1.04 * (2)
m = 13.92
Therefore, the average weight if 85% of cucumbers weigh less than 16 ounces is 13.92
The answer is 72
you first start by doing whats in the parenthesis: 72-63. that equals 9. then do the brackets [4(9)/3] do this from left to right 4x9=36. 36/3= 12 last do 6x12 that equals 72 which is the most simplified version
Answer:
7
Step-by-step explanation:
3 * 7 = 21
21 - 7 = 14
7*2 =14
