The principle of redundancy is used when system reliability is improved through redundant or backup components. a region's government required that commercial aircraft used for flying in hazardous conditions must have two independent radios instead of one. assume that for a typical flight, the probability of a radio failure is 0.0058. what is the probability that a particular flight will be threatened with the failure of both radios? describe how the second independent radio increases safety in this case. what is the probability that a particular flight will be threatened with the failure of both radios? (round to six decimal places as needed.) describe how the second independent radio increases safety in this case. choose the correct answer below. the second ratio makes it impossible for the airplane to crash. with one radio there is a 0.0058 probability of a serious problem, but with two independent radios, the probability of a serious problem decreases substantially. the flight becomes much safer with two independent radios. with one radio there is a 0.0058 probability of a serious problem, but with two independent radios, the probability of a serious problem increases substantially. the flight becomes much less safe with two independent radios. the second radio has no effect on safety.

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?

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.

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement in