What is the range of the function for this situation? Pls help

What is the lcm of 16 and 40 ? 24 and 40 ?

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) ).

The directions on a sewing pattern say to cut an extra 15% of fabric to account for error. chloe needs 0.75 yard of fabric to make a skirt, and she cuts 0.1125 yard. did chloe cut the correct amount of fabric? why or why not? a. chloe cut enough fabric because she cut the amount of fabric for the skirt. b. chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. c. chloe did not cut enough fabric because she only cut the amount of fabric for the skirt. d. chloe did not cut enough fabric because she only cut the amount of extra fabric.