(a) Let R be a commutative ring with identity. If every ideal of R can be generated by a finite or denumerable subset, then the same is true of R [xJ . (b) State and prove an analogue of part (a) for R[[x]l;

What are the critical values that correspond to a 95% confidence level and a sample size of 93? a. 65.647, 118.136 b. 59.196, 128.299 c. 57.143, 106.629 d. 69.196, 113.145

What is the vertex form of f(x) = x2 + 6x + 3

Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.