Abstract Algebra Answers

Prove that if two distinct primes p and q divide n^3, then n^3 is a multiple of (pq)^3.

A laptop is 1 inch high and 15.5 inches wide and 9.5 inches deep. What is the volume?

An urn contains n balls numbered 1 to n. If m balls are randomly withdrawn sequentially with replacement find P(X=k), k=1,2...m where m is the maximum of the m chosen numbers.

Use the given degree of confidence and sample data to construct a confidence interval for the population mean u. Assume that the poplution has a normal distribution
n=10 x=8.7, s=3.3, 95%confidence

-0,044x³+2x²-50x+ax-600

Please solve for a and show calculations

Verify the identity
1+sinx/cosx+cosx/1+sinx=2secx

Let a, b be nonzero integers. Show that gcd(a,b)=1 if and only if gcd(a+b,ab)=1.

Solve: 1/x + 1/(x-1) < 0

-2x+5+10x-9

A NUMBER K I IS NOT POSITIVE