The center of a circle is on the line y =2x and the line x=1 is tangent to the circle at (1, 6).
find the center and radius of the circle.

At least two people have the same birthday in a school of 150 students

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 24/11?