HI how are you bro good morning
The formula of the variance of the distribution of sample mean of a random variable X, which it will denoted by
is

where n is the size of the sample.
Since X is continuously uniform between 3 and 8, you have

Therefore, the variance wanted is
Step-by-step explanation:
a.
Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h
To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29
29 - 2t = h
b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0
29-2t = h = 0
t=14.5
Therefore, anything between 0 and 14.5 minutes makes sense
c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount
In fact, none of the above. It is 2(60h+m).
The diagonal WY bisects the diagonal XV at point D, which means that XV is divided into two equal line segments XD and XV.

Replace the equation above with the given expressions for both line segments:
XD= 2x-6
XV= 3x-6
