1.Capacitors of capacitance 1 µF, 3µF, 5µF and 6µF are connected in parallel to a direct voltage supply of 100V. Determine the following : (4 marks) (a)Draw a diagram to illustrate this information

(b)The equivalent circuit capacitance

(c)The total charge in the circuit

(d)The charge on capacitor 6µF​

Simplify (1/2)4th power a. (1/16) b.(1/8) c.(1/4)

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.

X+y=-4 x-y=2 use elimination with adding and subtraction