Which is NOT a way to prove a quadrilateral is a parallelogram. a) Prove the diagonals bisect each other. b) Prove both pairs of opposite sides are congruent. c) Prove both pairs of opposite angles are congruent. d) Prove one pair of opposite sides are parallel. Which of the following information would prove the quadrilateral ABCD is a rectangle? a) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2 b) The length of segment AB and CD is 5 units and length of segment BC and DA is 12 c) Slope of AB = 2, Slope of BC = -3/2, Slope of CD = 2, and slope of of DA = -3/2 d) Slope of AB = 2, slope of CD = 2, and the length of segment AB and CD is 5.

The weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to ac voltage. the values of the parameters depend on the voltage and temperature; suppose α = 2.5 and β = 190. (a) what is the probability that a specimen's lifetime is at most 250? less than 250? more than 300? (round your answers to four decimal places.) at most 250 less than 250 more than 300 (b) what is the probability that a specimen's lifetime is between 100 and 250? (round your answer to four decimal places.) (c) what value is such that exactly 50% of all specimens have lifetimes exceeding that value? (round your answer to three decimal places.) hr