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You're not the only one, but that's why I posted it to begin with.
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Sorry, I have the (usually good) habit of at least quickly glancing through all the replies before I add a comment. So I saw the answer before starting to consider the problem myself. But the problem is a good one! (Although not a true paradox.)
Semi off track (but only semi!):
It reminds me of a Norwegian sausage maker boasting his sausages having a 133% meat content. Advertising authorities protested: No product, not even a boneless steak, can contain more than 100% meat. This slaughter insisted that he used 1,33 kg meat to make 1 kg of these cured (smoked and dried) sausages.
This went to court, where it was pointed out: When the meat is weighed, it contains a lot of water that weighs as meat. In the production process, when the sausages are dried, some of this water is removed. If that water was labeled as meat when you weighed the ingredients before you started, it is actually part of the meat that is removed during the drying. You can't claim that all of the meat is a part of the product when you have removed some of it.
So the slaughter lost the case, and had to change the wording from "contains 133% meat" to "For each kg of sausage, 1,33 kg of meat is used". Which isn't too bad - the sausages are tasty!
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I would side with the sausage maker on this one! (Unless I had to code it!)
If you buy a quarter of a pound hamburger at a fast food restaurant, it probably weighs one eighth of a pound when they serve it to you.
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The algebra (which doesn't over think it).
Givens:
A. There is 1 pound of starch (1% of 100)
B. 98% water
What is total weight X?
0.98 = (X-1)/X and X = 50
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WEIGHT_OF_POTATOES = 100 lbs
WEIGHT_OF_WATER / WEIGHT_OF_POTATOES = 0.99
WEIGHT_OF_WATER = WEIGHT_OF_POTATOES * 0.99
WEIGHT_OF_WATER = 99 lbs;
(WEIGHT_OF_WATER - weight_to_evaporate) / (WEIGHT_OF_POTATOES - weight_to_evaporate) = 0.98
(99 - weight_to_evaporate) / (100 - weight_to_evaporate) = 0.98
weight_to_evaporate = 50 lbs;
So the final answer is WEIGHT_OF_POTATOES - weight_to_evaporate = 100lbs - 50lbs = 50lbs
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Trust the math.
Given
100lb = 99lb-water + 1lb-potato
w = weight of water in lbs
% water = w / (w + 1lb-potato)
Initial condition = 99%. Check.
Now solve for 98% water
.98 = w / (w + 1lb-potato)
w = 49 lb
Check:
49 / (49 + 1) -> .98
add back the 1 lb of potato and the total is
50 lb total
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100 lb of potatoes have 99% water and so 1% other stuff i.e. 1 lb.
After dehydrating, water is lost but other stuff is still in same quantity i.e. 1 lb.
Since water is now 98%, the remaining 2% of the total weight is 1 lb.
Hence, 1 lb is 2 % of the total weight.
So, the total weight is 50 lb.
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'Star Trek: Discovery' Season 2 Premiere First-Look | Hollywood Reporter[^] - looks interesting (I like the bit at teh end in the turbolift).
And it go me thinking: Discovery or Orville?
For me, no contest. Despite the "redesigned" Klingons, Discovery wins hands down.
Orville I found tried too hard, and recycled too many plots (for example, TO "If the Stars Should Appear" vs TOS "For the World is Hollow and I Have Touched the Sky")
Sent from my Amstrad PC 1640
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
AntiTwitter: @DalekDave is now a follower!
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As a long-time Trekker:
I don't think The Orville "tries to hard"; I don't get the impression it takes itself seriously, nor is it meant to be taken as such.
Not so with Discovery. IMNSHO it's too far removed from Trek to pass off for the real thing (especially given it's supposed to predate Kirk--but barely). Had they called it anything else, I'd probably like it a lot more.
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dandy72 wrote: it's too far removed from Trek to pass off for the real thing But they try hard.
I have lived with several Zen masters - all of them were cats.
His last invention was an evil Lasagna. It didn't kill anyone, and it actually tasted pretty good.
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Looks pretty good
Everyone has a photographic memory; some just don't have film. Steven Wright
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Just saw an episode of Enterprise. Tucker and Reed sitting in a dead shuttle, believing the Enterprise was destroyed, waiting for their oxygen to run out, drinking the captain's whiskey and discussing T'Pol's rear parts.
I have lived with several Zen masters - all of them were cats.
His last invention was an evil Lasagna. It didn't kill anyone, and it actually tasted pretty good.
modified 15-Aug-18 5:49am.
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I'm currently working my way through Orville, having just finished Discovery (one episode a day on the computer Herself doesn't want to watch 'em* and it's not worth the cold shoulder to argue the point - pick your battles Griff!) and Enterprise is on my list, just not high on it.
* Discovery: "They aren't proper Klingons, I'm not watching any more" after episode one.
Orville: "That's just stupid" after episode one.
Sent from my Amstrad PC 1640
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
AntiTwitter: @DalekDave is now a follower!
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Did you never see Enterprise? Then look at the Vulcans in the pilot episode who listen to the Admiral's speech, just before they go on their first mission - to visit the Klingons.
I have lived with several Zen masters - all of them were cats.
His last invention was an evil Lasagna. It didn't kill anyone, and it actually tasted pretty good.
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Orville wins hands down: the characters are better developed, the stories both interesting and amusing (even if they are reminiscent of old ST episodes which is kind of the point).
It is everything that Discovery should have been which takes itself way too seriously. And the Klingon redesign. WTF???
That being said, I am a died in the wool, life-long Trekker and would watch a cereal packet if it had a picture of the Enterprise on the back.
Keep your friends close. Keep Kill your enemies closer.
The End
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Do you want more π? No thanks: √-1 / 8
Sent from my Amstrad PC 1640
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
AntiTwitter: @DalekDave is now a follower!
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Forgive me Father cos() I have a sin() to confess.
... such stuff as dreams are made on
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to what degree have you left the path
This internet thing is amazing! Letting people use it: worst idea ever!
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90
... such stuff as dreams are made on
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We need to root out the inequality lest we go off on a tangent. Inquiring of a young lady, her reply to your query was secant eat any, either.
Ravings en masse^ |
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"The difference between genius and stupidity is that genius has its limits." - Albert Einstein | "If you are searching for perfection in others, then you seek disappointment. If you are seek perfection in yourself, then you will find failure." - Balboos HaGadol Mar 2010 |
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OICU812
Everyone has a photographic memory; some just don't have film. Steven Wright
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Because 7 8 9
Sent from my Amstrad PC 1640
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
AntiTwitter: @DalekDave is now a follower!
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Is it irrational that we all respond to this imaginary thread?
Socialism is the Axe Body Spray of political ideologies: It never does what it claims to do, but people too young to know better keep buying it anyway. (Glenn Reynolds)
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Enough of this...I'll 299,792,458 you later.
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