Answer:
3)
, 
Step-by-step explanation:
Given that the explicit rule for a sequence is
.
Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.
1)
, 
2)
, 
3)
, 
4)
, 
Plug n=1 into given formula to get first term


base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term
Hence correct choice is: 3)
, 
Answer:
The standard error of the mean is 4.5.
Step-by-step explanation:
As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.
The mean of the sample is:

The standard deviation of the sample is calculated as:

Then, we can calculate the standard error of the mean as:

Answer:
362.5 in^3
Step-by-step explanation:
V = (face [surface] area)(height)
V = 58(6.25) = 362.5