1 The points A, B, C and D lie on a circle.
CDE is a straight line.
40°
С
A
E
BA = BD
CB = CD
Angle ABD = 40°
Work out the size of angle ADE.
You must give a reason for each stage of your working.​

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Identify an equation in point slope form for the line perpendicular to y=3x+5 that passes through (4,-1)

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.