For the above to be considered a binomial experiment, it must be guaranteed:
1. That each child must offer one of two answers: yes, if I buy soda (pop) at least once a week / no, I do not buy soda (pop) at least once a week.
2. That the fact that a child, in particular, buys soda (pop) at least once a week, has no relationship (dependence) with another child buying soda (pop) at least once a week. week.
So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.
The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).