i
need a very detailed proof
(Show
your work!)
Let n
> 1. Prove: The sum of the positive integers less than or equal
to n is a divisor of the product of the positive integers less than
or equal to n if and only if n + 1 is composite.
1)
Prove the conjectures
a) The sum of the measures of the n interior angles of any
n-gon is 180 degrees(n-2).
b) For any polygon, the sum of the measures of a set of
exterior angles is 360 degrees.
Prove or disprove: In a hyperbolic geometry, if any right
triangle has its hypoteneuse and one leg congruent (respectively)
to the hypoteneuse and one leg of another right triangle, then the
two right triangles are congruent.
Convert the azimuths from north to bearings, and compute the
angles, smaller than 180^o, between successive azimuths.
65^o 26' 37", 127^o 25' 46", 254^o 23' 07", and 295^o 14'
08"
In a survey of 250 commuters, 180 were found to have a commute
of less than 30 minutes.
Find the 90% confidence interval of the true proportion of
commuters who have a commute of less than 30 minutes.
Find the 95% confidence interval of the true proportion of
commuters who have a commute of less than 30 minutes.