A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.97. A 22.8-ounce bottle costs $4.97. Find the unit price for each size. Then state which size is better buy based on the unit price. Round your answer to the nearest cent. Unit price for the 12.6-ounce bottle: $ per ounce

Unit price for the 22.8-ounce bottle: $ per ounce

The better buy: The 12.6-ounce bottle

The 22.8-ounce bottle

Neither (they have the same unit price)

Use the x-intercept method to find all real solutions of the equation. x^3-10x^2+27x-18=0

Answer pls man im trying to get out of summer school

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.