The vertices of quadrilateral LMNP are L(-1, 7), M(4, 9), N(8, -1), and P(3, -3). Using the distance formula, determine the most precise classification of LMNP: parallelogram, rectangle, rhombus, or square. Use the diagram as a guide.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)