An adweek media/harris poll revealed that 44% of us. adults in the 18-34 years category think that "made in america" ads boost sales. a different harris interactive poll showed that 78% of u. s. adults in the 18-34 years category use social media online. suppose that 85% of adults in the 18-34 years category think that "made in america" ads boost sales or use social media online. if a u. s. adult in the 18-34 years category is randomly selected.

a. what is the probability that the person thinks that "made in america" ads boost sales and uses social media online?
b. what is the probability that the person neither thinks that "made in america" ads boost sales not uses social media online?
c. what is the probability that the person thinks that "made in america" ads boost sales and does not use social media online?
d. what is the probability that the person thinks that "made in america" ads boost sales given that the person does not use social media online?
e. what is the probability that the person either does not think that "made in america" ads boost sales or does use social media online?

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.

Select all the expressions that will include a remainder.

Which of the following statements would be sufficient to prove that parallelograms pqrs is a rectangle ?