The masts for the Millennium Dome were held up during construction by wire ropes as shown in the diagram. A is 106 m above the ground, C is vertically below A, the gradient of AB is 1 and CD is 53 m. a Find the gradient of AD. b Find the length of BD.

which  best  describes the transformation from the graph of  f(x) =  x2  to the graph of  f(x) = (x  – 3)2  – 1?   left 3 units, down 1 unitleft 3 units, up 1 unitright 3 units, down 1 unit  right 3 units, up 1 unit

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Which of the following is the maximum value of the equation y=-x^2+2x+5 a. 5 b. 6 c. 2. d. 1