List the perfect cubes that are between 100 and 600
1 answer:
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Answer:
The first 5 terms of the sequence are 2, 4, 8, 16 and 32.
Step-by-step explanation:
Given:
= 2
= 2
-----------------(i)
To get the first 5 terms of the sequence, substitute in turn, n = 1, 2, 3, 4, 5 into equation (i).
The first term (when n = 1) has been given as:
= 2
The second term (when n = 2) is given as:
= 2
= 2
(but
= 2 )
=> = 2(2)
=> = 4
The third term (when n = 3) is given as:
= 2
= 2
(but
= 4 )
=> = 2(4)
=> = 8
The fourth term (when n = 4) is given as:
= 2
= 2
(but
= 8 )
=> = 2(8)
=> = 16
The fifth term (when n = 5) is given as:
= 2
= 2
(but
= 16 )
=> = 2(16)
=> = 32
Therefore, the first 5 terms of the sequence are 2, 4, 8, 16 and 32.
Answer:
The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 21.6 - 0.3 = $21.3.
The upper end of the interval is the sample mean added to M. So it is 21.6 + 0.3 = $21.9.
The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.