You are listening to a news report that claims a new study has found convincing evidence that a particular weight-loss product is much more effective than diet and exercise which statement would be an example of scientifically "convincing" evidence in this case?

1.) all the participants lost at least 10 pounds
2.) only the participants who used the weight-loss product lost weight
3.) the participants who used the weight-loss product lost an average of 3 pounds, whereas the participants who used diet and exercise lost an average of 2 pounds.
4.) the study has a hypothesis.
5.) statistical tests showed significantly more weight loss in the participants who used the weight-loss product than those who relied on diet and exercise.

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24