Read the dictionary entry. which meanings from the dictionary best match the underlined word as it is used in the paragraph? the flower pot on the front porch was functional for more than holding a plant. there was a little breath mint box buried under the potting soil. my mom thought it was a practical way of hiding the front door key. prac-ti-cal (prak-ti-kuhl) adjective 1. useful 2. reasonable 3. made to serve a purpose 4. realistic choose all answers that are correct. a.1. useful b.2. reasonable c.3. made to serve a purpose d.4. realistic

Negative 5 1/12 + negative 4 1/4 + 6 3/4

Solve for x and select the correct answer

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.