Suppose we have a deck of spade cards (13 cards), and one card is picked and put back into the deck, one more is picked and put back into the deck and one more is picked and put back into the deck. write a monte carlo simulation where you run the simulation of this 3 card picks for 100 times. calculate the probability of getting the same card for each pick (6 points).

To become an audio technician, the most successful tactics might include the following. (select all that apply). learning how to persuade other people gaining different types of experience in audio technology learning as much as possible about art history establishing a reputation as a reliable professional

Use a physical stopwatch to record the length of time it takes to run the program. calculate the difference obtained by calls to the method system.currenttimemillis() just before the start of the algorithm and just after the end of the algorithm. calculate the difference obtained by calls to the method system.currenttimemillis() at the start of the program and at the end of the program so that the elapsed time includes the display of the result. use the value returned by the method system.currenttimemillis() just after the end of the algorithm as the elapsed time.

For positive constants a and b, the force between two atoms in a molecule is given f(r) = −a r2 + b r3 , where r > 0 is the distance between the atoms. note: a and b are upper case letters. (a) find f '(r) = (b) find the critical point for f(r). r = (c) find f ''(r) = (d) find the value of r so that f ''(r) = 0.