Recall that a sequence
is convergent if and only if
is also a Cauchy sequence, which means to say that for any
, we can find a sufficiently large
for which
whenever both
and
exceed
.
But this never happens if we choose
and
; under these conditions, we have
Therefore
is not a Cauchy sequence and hence does not converge.
16 / 12 = 1.3333
Answer: she mowed 1 1/3 lawns per hour.
The answer would be 16 if you substitute -3 for X and solve
B, just because the diagonals are perpendicular doesn't mean they are equal in length, you can get a Kite with perpendicular diagonals
Answer:
For this case we know that the confidence level is 90% so then the significance level is 
and 
. And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:
And the best option would be:
1.645
Step-by-step explanation:
We assume that the parameter of interest is 
and we can assume that the distribution for this parameter is normally distributed so then the confidence interval assuming a two sided interval is given by:
Where 
represent the estimator for the parameter, SE the standard error and 
the critical value.
For this case we know that the confidence level is 90% so then the significance level is and . And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:
And the best option would be:
1.645
