Answer the user above you, then reply with a maths or logical question that is harder than the one above you. This way each user who comments is more and more smarter than the user above- The last person to comment in this thread with a solution, is crowned the maths champion of sandbox. Mods may even put you on the lobby wall and decorate the background with fractals.
Without using a computer program, I will use a clever approximation discovered by Bach and Shallit in 1996 to perform this calculation by hand.
Σ(n primes)≈(1/2)(n^2)(ln(n))
∴ Σ(first 168 primes)≈(1/2)(168^2)(ln(168))≈72309
Calculate the flux of the vector field F=⟨y, -x, z⟩ outward through the surface x^2 + y^2 + z^2 =4.
deletedalmost 9 years
90
Sum the first 168 primes
deletedalmost 9 years
5122131516
What is 27 + 63?
deletedabout 9 years
@george he lights both ends of the first rope on fire, and in 15 minutes when that rope is gone, he lights the second one on fire which measures 30 minutes = 45 minutes
@dooze 0 currently
What's the next number in the series: 555622, 2231516, 1122131516, ?
I didn't understand a thing you said but I'm just going to assume that the circle starts with an area of 9 and then keeps on getting bigger and bigger. This way Imma assume it's: sq(9+5t+5)/sq(9+5t)
Anyway, my turn. Kenny has been kidnapped by Hood. The latter gives Kenny two ropes. Both of them have the same amount of burning time: half an hour. However, different parts of the ropes have different burning times, meaning that if he cuts any of the ropes in half, the new ropes will not each burn for 15 minutes (that is, their burning time ratio will not be 1:1; instead, it will be x:y, where x≠y and x+y=30mins). Kenny has to measure exactly 45 minutes using the ropes. If he does not, Hood will infest sandbox with noavis. How does Kenny measure the right amount of time and is in time to stop Hood from destroying sandbox once and for all?
What is the rate that the radius of a evergrowing circle increases when the area is 9, and the rate that the area changes is 5 ft/sec?
deletedabout 9 years
wait did you just answer your own thing
are these chances independent, mutually exclusive, etc.? do mean the chance of both happening at the same time or at separate times on the same day? in real life i know it's not independent but I don't know enough about meteorology to figure some of the funky specifics
deletedabout 9 years
22
If there is a 20% chance it will snow tomorrow, and a 10% chance it will rain, what is the chance it will snow and rain.
deletedabout 9 years
The answer is actually the children are adopted as Einstein would have to be 13, which is impossible as his son is 19.
Einstein had 3 children, Max, Bob and Jeff. When Jeff was 20, Max was half of Bob's age. When Max was 8, Bob was half of jeffs age. 3 years after the third child is born, Einsteins age was the sum of all 3 children together, minus the age of his wife. His wife is the sum of 2 of their children, minus the age of the third (can be any order) at the same point when the coincidence of Einsteins age occured.
assuming you aren't mafia assuming tree picks no assuming mafia doesn't try to kill yak target assuming my math isnt wrong which it probably is
also 1.4% chance of being maid which has a 3/11 shot at picking mafia
deletedabout 9 years
1
Assuming all events are independent and random, with each event having equal probability of occuring, what are the odds of being converted to a mafia role on n1 in the stickied sandbox setup? You may ignore interference by other non-converting players (drunk, driver, etc.).
Also if you're gonna ask for derivatives, please define your functions and variables, my autism is flaring up
