A student wrote the following proof. Evaluate the student’s answer. A.
The student showed proof by contrapositive correctly.
B.
The student did not show proof by contrapositive correctly; the assumption was not made correctly.
C.
The student did not complete the proof correctly; the proof did not show that ~q -> ~p.
D.
The student did not show proof by contrapositive correctly; the proof did not use the proper definitions.

Which of the following represents the length of a diagonal of this trapezoid?

Jon’s weight loss for each week of the month is 5 lbs., 2.5 lbs., and 2.5 lbs. he gained 3.5 lbs. the last week. if jon originally weighed 198 lbs., how much does he weigh now?

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) ).