A hexagon is graphed on the coordinate plane below. Which side is 4 units long? On a coordinate plane, point F is (negative 2, 4), point G is (2, 4), point H is (4, 0), point J is (4, negative 6), point K is (negative 4, negative 6), and point L is (negative 4, 0). GH FG LK KJ

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

(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.)

Find the arc length of the semicircle. 7the grade