Let p and q be the propositions "swimming at the new jersey shore is allowed" and "sharks have been spotted near the shore," respectively. express each of these compound propositions as an english sentence.

a) ¬q
b) p ∧ q
c) ¬p ∨ q
d) p → ¬q
e) ¬q → p
f) ¬p → ¬q
g) p ↔ ¬q
h) ¬p ∧ (p ∨ ¬q)

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?

The border line of the linear inequality 4x + 7y < 5 is dotted true or false?

Janice determined there were 10 possible outcomes when tossing two coins and spinning a spinner numbered 1 through 6. what is the correct number? what might have been janice's error?