The monte carlo method is also typically used to numerically compute an approximation of a quantity that is very hard or even impossible to compute like, e. g., integrals (in particular, integrals in very high write a python code to estimate the irrational number =3.1415926535897932384626433… based on the monte carlo method. specifically, recall that =∫1041−x2√ and generate a sequence ,… of independent, on [0,1] uniformly distributed random variables to perform your mc estimation. as in problem 1 above, plot your estimates for different numbers of simulations running from 1 to 1000. your plot should again illustrate how your estimate appears to converge to .

The average cost of one year at a private college in 2012-2013 is $43,289. the average grant aid received by a student at a private college in 2012-2013 is $15,680.   what is the average student contribution for one year at a private college in 2012-2013?

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. the highest speed measured was 78.1 mbps. the complete list of 50 data speeds has a mean of x overbarequals16.11 mbps and a standard deviation of sequals18.65 mbps. a. what is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. how many standard deviations is that [the difference found in part (a)]? c. convert the carrier's highest data speed to a z score. d. if we consider data speeds that convert to z scores between minus2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. the difference is nothing mbps.

All of these are true about using adhesive except: a. dissimilar materials can be joined. b. mixing tips are product and material specific. c. a specific application gun may be required. d. two-part adhesives are dispensed using two mixing tips