The total length of the rope = 32 ft
It is cut into two sections, say x and y
But one section is seven times the other, say y=7x (shorter section being x)
Solving for x
x+y =32
x+7x = 32
8x=32
x=32/8 = 4 ft.
Therefore, the shorter piece is 4 ft long.
Answer:

And for the deviation we have:

And that value represent the best estimator for the population deviation since:
Step-by-step explanation:
For this case we have the following data:
1.48,1.45,1.54,1.52,1.52
The first step for this cae is find the sample mean with the following formula:

And replacing we got:

And now we can calculate the sample variance with the following formula:

And replacing we got:

And for the deviation we have:

And that value represent the best estimator for the population deviation since:
Exponentiate the log or In because Exponentials are inverses of Logs and lns.
D) because the first equation*3-the second equation*;
the left side=0, the right side = 36
Answer:
Step-by-step explanation: