According to a recent survey, americans get a mean of 7 hours of sleep per night. a random sample of 50 students at west virginia university revealed the mean length of sleep last night was 6 hours and 48 minutes (6.8 hours). the standard deviation of the sample was 0.9 hour. at the 5% level of significance, it is reasonable to conclude students at west virginia sleep less than the typical american? compute the p-value

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Solve the system of equations using the substitution method. {y=−3x+7x=−2y−16 enter your answers in the boxes.

The circle below is centered at the point (3, 1) and has a radius of length 2. what is the equation?