The derivative of
at a point
in the direction of a vector
is

We have

and

Then the derivative at
in the direction of
is

Answer:
a)
90% confidence interval for the mean grading time of all composition papers.
(12.47981 , 13.52019)
b)
Appropriate inequality
The interval is ( 12.47981 < μ < 13.52019)
Step-by-step explanation:
<u><em>Explanation</em></u>:-
a)
Given sample size 'n' = 40
Mean of the sample = 13 minutes
standard deviation = 2 min
level of significance = 0.10 or 90%
90% confidence interval for the mean grading time of all composition papers.


( 13 - 0.52019 , 13 + 0.52019)
(12.47981 , 13.52019)
b)
The interval is ( 12.47981 < μ < 13.52019)
Hello,
Maybe i have not understood "into".
U divide 24 to 9, which is not going to be an exact number, but you can do 9times2=18 so then if you do it in a long division bar you will put 2 on top then minus 18 from 24 which will give you 6, then ur answer is going to be 2 6/9 the nine stays the same (the denominator stay put)
HOPE IT HELPS :)