Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate
perimeter of the blanket? Round to the nearest inch.

6.3x+14 and 1.5x-6 answer in simplified form

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).