Cho một hình chữ nhật nếu giảm chiều dài 5 cm tăng chiều rộng 5 cm thì được một hình vuông có chu vi 36 cm tính tính diện tích hình chữ nhật

Write the expression in simplified radical form. show all steps and work including any foil method work. (hint: use the conjugate. no decimal answers.) (9-2√3)/(12+√3)

(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.)

Afair die is cast four times. calculate the probability of obtaining exactly two 6's round to the nearest tenth of a percent