Katherine is checking the prices of two different catering companies for her wedding reception. Brenda's Bridal Catering charges $300 for a cake plus $18 per person. Sarah's Complete Catering charges $450 for a cake plus $15 per person. Katherine really likes the cake from Sarah's Complete Catering, so she wants to use that company for her reception. Which inequality can be used to find x, the maximum number of people she can invite to the reception so that the total charge from Sarah's Complete Catering is less than the total charge at Brenda's Bridal Catering?

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.)