Find the parabola of the form y=ax2+b which best fits the points (1,0), (2,2), (4,4) by minimizing the sum, s, of squares of the vertical distances from the above points to the parabola given by s=(a+b)2+(4a+b−2)2+(16a+b−4)2.

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?

Find the area of an equilateral triangle with a side of 6 inches

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?