Food delivery time in a certain area is an average of 23.5 minutes with a standard deviation of 3.6 minutes. These delivery times are normally distributed. How long do the 11% of deliveries with the...

Food delivery time in a certain area is an average of 23.5 minutes with a standard deviation of 3.6 minutes. These delivery times are normally distributed. How long do the 11% of deliveries with the longest delivery times take, until the food has been delivered to the customer?

(You must report the z-score obtained in the process and use the appropriate formula to convert from z to x. Give your answer to three decimal places and include an answer sentence.)