In Toss-N-Turn at the County Fair, contestants flip a fair coin and then spin the pointer of a spinner with seven equal sections, numbered 1–7. Contestants win if the coin lands heads up and the pointer lands on an even number. If Paulina wants to win a prize, should she play Toss-N-Turn or a different game that has a theoretical probability of winning of 15
1
5
? Explain

Little’s law firm has just one lawyer. customers arrive randomly at an average rate of 6 per 8 hour workday. service times have a mean of 50 minutes and a standard deviation of 20 minutes. how long does a customer spend at little’s law firm on average?

Peter measures the angles in a triangle. he finds that the angles are 95, 10 and 75. is he correct? explain your answer

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.