Garbage trucks entering a particular waste-management facility are weighed prior to offloading their contents. let x = thetotal processing time for a randomly selected truck at this facility (waiting, weighing, and offloading]. the article"estimating waste transfer station delays using gps' (waste mgint., 2008: 1742-1750) suggests the plausibility of a normaldistribution with mean 13 min and standard deviation 4 min for x. assume that this is in fact the correct distribution. a. what is the probability that a single truck‘s processing time is between 12 and 15 min? b. consider a random sample of 16 trucks. what is the probability that the sample mean processing time is between 12 and1.5 min? c. why is the probability in (b) much larger than the probability in (a)? d. what is the probability that the sample mean processing time for a random sample of 16 trucks will be at least 20 min?

Tcan be concluded that % of the seniors would prefer to see more candid pictures in this year's edition of the yearbook.

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.

What is the distance between point a and b