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6 May 2017

29 Mar 2019

21 Mar 2017
 sum of all odd numbers between 1 and 100.2 Answers1+99=100 3+97=100 : : 49+51=100 50 odd number between 1-100, so 25 sums each equalling 100, hence answer is 25*100 =2500.1+99=100 3+97=100 : : 49+51=100 50 odd number between 1-100, so 25 sums each equalling 100, hence answer is 25*100 =2500.

29 Mar 2019

15 Jan 2019
 90% confidence interval for length of roads in UK1 AnswerApproximate the UK with a rectangle of sides ~1000 km and 200 km (this can be guessed based on the length of a country you know and remembering how much bigger or smaller the UK is on a map compared to the country you chose). These numbers give a surface of 2 * 10^5 km^2. Assume road coverage of 10%. Hence the surface of all roads in the UK is 2 * 10^4 km^2. How much wide is a road on average? Well assume 10 m = 10^-2 km. Hence, the total length is 2 * 10^6 km. So you have guessed a total length of 2 million km. The true value should be 420,000 km, so you are off "just" by a factor of 5.

19 Apr 2016
 What is the expectation of a 6 sided die? What is an expectation of a 20 sided die? You have two balls of equal density. One with a diameter of 1.5 ft and the other 1 ft. The 1.5 ft ball weighs 27 lbs. What is the mass of the 1 ft ball?1 Answer(1/6)(1+2+3+4+5+6) = 3.5 (1/20)(1+2+...+20) = 10.5 Should've got the trick from the previous question but instead faffed about trying to add 1 to 20 in my head and divide by 20. 27/1.5^3 = m/1^3. m = 8. Realised that 27 was 3^3 far too late and that it is just (3/1.5)^3.

26 Nov 2015
 what is 17% of 33.52 Answers1) Take 20% of 33.5 -> 6.70 2) Compute 3% of 33.5 -> 3*0.335 ->1.005 (this is the tough one, I know) 3) Subtract the two -> 6.700 - 1.005 -> 5.695 One or more comments have been removed. Please see our Community Guidelines or Terms of Service for more information.

29 Mar 2019