12. determine the shortest distance from the
point d(5, 4) to the line represented by
3x + 5y - 4 = 0.

i got my distance as the square root of 26890600/12027024
but i’m fairly certain that’s incorrect.

(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.)