Plz do this fast! i need to finish : /

1. convert 300 weeks to years

40,000/6,957

2. convert 5 minutes to seconds

300/1

3. convert 4,800 seconds to hours

4/3

4. convert 714 years into minutes

1,877,638,644/5

can somebody covert the answers to mixed #s? also label them, and give them their correct numbers.

In the proof of the triangle angle sum theorem, you must draw an auxiliary line. which construction must you use to draw this line?

If a company produces x units of an item at a cost of $35 apiece the function c=35x is a of the total production costs

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.