Abstract Algebra Answers

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

The lenth of inner rectangle is 80m,and its breadth is 60m,find the width if the area of the outer path is 1500msq

Determine whether the given relation is an equivalence relation on the set. Describe the partition arising from each equivalence relation.

1) nRm in Z if nm>0

2) xRy in R if x > or =y

Show that [0,1] is uncountable?