A researcher wants to know how the number of drinks consumed on a night out affects decision-making quality. She observes and records the drinking behavior of 5 participants, then has them complete a series of decision-making tasks. Number of Drinks(X) Task Performance
2 7
4 2
1 5
1 6
2 5

Required:
Conduct a hypothesis test to determine if the correlation is significant at α = 05.

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

Which rectangle if translated 6 units right and 16 units down and the rotated 90° clockwise about the point (4, -11) will result in rectangle e?

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as . the probability that mariah will not choose all mysteries can be expressed as 1 −