(HOF. scala) Define the following two functions: // given f and g, compose returns the composition of f with g. def compose(f:Int=>Int, g: Int=>Int): Int=>Int = p // given f and a positive integer n, repeated returns a function that applies f // to its input n times. i. e. f(f(...(f(x))...)) def repeated(f:Int=>Int, n:Int): Int=>Int = p For example, compose(x=>x*x, x=>x+1)(6) = 49 and repeated(x=>3*x,4)(8) = 648. Submit just the definitions of the two functions in HOF. scala. We will call these with our test cases.

Using the artofstat website, run a permutation test to see if there is a difference in the mean amount of time spent on emails per day between in state and out of state students. (make sure to generate 10,000 permutations.) in state students: 2 3 3 6 2 1 1 5 3 2.5 out of state students: 1 2 2 1 2 1 4 3 9 1 10 1 3 what is the p-value?

Robots with telescoping arms are sometimes used to perform tasks (e. g., welding or placing screws) where access may be difficult for other robotic types. during a test run, a robot arm is programmed to extend according to the relationship r = 3 + 0.5cos(4θ) and the arm rotates according to the relationship θ=−π4t2+πt , where r is in feet, θ is in radians, and t is in seconds. use a computer program to plot the path of tip a in x and y coordinates for 0 ≤ t ≤ 4s.

Fill in the following program so that it will correctly calculate the price of the orange juice the user is buying based on the buy one get one sale.#include //main functionint main() { int cartons; float price, total; //prompt user for input information printf("what is the cost of one container of oj in dollars? \n"); scanf(" [ select ] ["%d", "%c", "%f", "%lf"] ", & price); printf("how many containers are you buying? \n"); scanf(" [ select ] ["%d", "%c", "%f", "%lf"] ", & cartons); if ( [ select ] ["cartons / 2", "cartons % 1", "cartons % 2", "cartons % price", "cartons / price", "cartons / total"] [ select ] ["=", "==", "! =", "< =", "> =", "< "] 0) total = [ select ] ["price * cartons", "cartons * price / 2 + price", "(cartons / 2) * price", "cartons / (2.0 * price)", "(cartons / 2.0) * price + price", "((cartons / 2) * price) + price"] ; else total = ((cartons / 2) * price) + price; printf("the total cost is $%.2f.\n", total); return 0; }