A student determines that the values given do
not make up a Pythagorean triple because 52 + 132 ≠ 122. What
mistake did the student make? Write the correct equation,
showing why it is correct.

Tom drove 206 miles in 3.9 hours. estimate his average speed.

Type the next three numbers in a sequence 80, 90, 85, 95, 90, 100, 95, 105

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) ).