Sarah heard the frozen yogurt shop was having a special for the upcoming Veterans Day holiday on Wednesday. She decided to stop by and pick up two servings, one for herself and one for her grandfather, to thank him for his service. When she got there the sign read: Choose any one of three special combos to get the special Veterans Day price! Combo #1 Salted caramel with peanuts, Combo #2 Chocolate with fresh strawberries, Combo #3 Tart with raspberry drizzle. Limit two orders per customer. The line was long, so Sarah asked if there was a chance of combos selling out. She was told there was a 30% chance they would still have Combo #1 left, a 40% chance they would have Combo #2 available, and a 30% chance they would Combo #3 by the time she ordered. Sarah wanted to find out the chance of being able to order each possible set of two orders for her and her grandfather, so she started creating the probability table/area model shown below.

Create a probability table below, type an appropriate event, outcome, or probability label in the numbered boxes to represent this probability situation.

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.