check if the function f(x)=½Sinx, 0<x<22/7 represent the p. d.f of a random variable X, Calculate p(x≤22/14​

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

Find the zeros of each function. f(x) = x^2 + 5x - 6

Olga bought a new skirt that cost $20. sales tax is 5%. how much did olga pay, including sales tax? 7.