If someone who is 5 feet tall uses a potato gun to shoot a potato in the air at 100 feet per second, we can use the function f(x)= -16x^2+100x +5 to calculate how far the potato will be from the ground at any given second (x). Use this information to explain what f(x)=0 means in the context.

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)