Answer:
The remainder is 64
Step-by-step explanation:
Consider the function
Use synthetic division to divide by x+9
x+9=0, x=-9
divide the given f(x) by -9 using synthetic division
-9 1 3 -51 91
0 -9 54 -27
--------------------------------------------------
1 -6 3 64
The remainder is 64
I have an expression
floating around in my head; let's see if it makes sense.
The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is
That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:
Plugging in the numbers,
One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.
So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.