Answer:
The area of the wrestling ring is 5.29π 
Step-by-step explanation:
A sumo wrestling ring is circular and has a circumference of 4.6π meters.
To find its area, we need to first find its radius.
The circumference of a circle is given as:

where r = radius
Hence, the radius of the ring will be:

The radius of the ring is 2.3 m.
The area of a circle is given as:

Hence, the area of the wrestling ring (in terms of π) will be:


The area of the wrestling ring is 5.29π 
Answer:
The particle's velocity is the derivative of the particle's position. The particles's acceleration is the derivative of the particle's velocity. You can compute the velocity and acceleration as follows:
Step-by-step explanation:


The velocity at
is
.
The speed at t=0 is
. Then, the velocity at t=0 written as a product of the speed at t=0 and the direction at t=0 is

What you must do for this case is to extract the relationship of the grapes that were eaten yesterday among the grapes that were eaten today.
To do it, let:
x: number of grapes that Reza ate yesterday
(x / 20) = (100/400).
Clearing x we have:
x = (100/400) * (20) = 5
answer
the number of grapes Reza ate yesterday was 5
Answer:
0.04
Step-by-step explanation:
In this case we must use the following formula to be able to find the standard error, which would be the square root, of the probability for its complement divided by the population:
SE= 
Now, knowing that p = 0.552 and n = 160 we replace and we are left with:
SE =
SE = 
SE = 0.039
Which means that the standard error of the proportion is 0.04