1. The hour hand travels 360/12=30 degrees per hour. One quarter hour would be 7.5 degrees. Or else "hands? I'm all digital, baby!"
2. Expected payout is 1 + 11/ 365 - 8008/365 = $20.91 loss.
3. 1 - 3√0.05 = 0.632
4. You can't form a triangle if one length is greater than half the total. Then do some handwaving to come up with a number, but that realization is the real trick.
5. (Downton Abbey version) I'll just have my valet do it.
1. The hour hand travels 360/12=30 degrees per hour. One quarter hour would be 7.5 degrees. Or else "hands? I'm all digital, baby!" Ooops! - I have a 24 hour watch. 2. Expected payout is 1 + 11/ 365 - 8008/365 = $20.91 loss. 3. 1 - 3√0.05 = 0.632 I didn't know how to post square root symbols. 4. You can't form a triangle if one length is greater than half the total. Then do some handwaving to come up with a number, but that realization is the real trick. Sure you can - you just have a little left over on the long stick. They didn't say you had to make ends meet - just make a triangle. 5. (Downton Abbey version) I'll just have my valet do it. Aha! A FreeRepublic upper class member totally indifferent to the lower class.