A study investigates the effectiveness of a new flu vaccine….

A study investigates the effectiveness of a new flu vaccine.   The one-year study enlists several thousand volunteers.  40% of the volunteers are diagnosed with flu during the course of the study, and 60% are not diagnosed with flu. Of the participants who are diagnosed with flu during the study, 20% had gotten the vaccine.  Overall, 45% of participants had been assigned to the vaccine condition in the study.  What proportion of participants did not contract flu and had gotten the vaccine? Show your work.

Given the parametric equations . Eliminate the parameter and…

Given the parametric equations . Eliminate the parameter and write the corresponding rectangular equation. Do not use inverse trigonometric functions in your answer. x=2cos⁡(t),y=3sin⁡(t)−2{“version”:”1.1″,”math”:”x = 2\cos(t),\, y = 3\sin(t)-2″}  

Paul draws one playing card out of a standard poker deck and…

Paul draws one playing card out of a standard poker deck and observes its value (2 though Ace) and its color (red or black).  He then replaces the card, shuffles the deck, and again draws a card, observing its value and color. Let event A =  The first card is an Ace,  and let event B = the second card is Red. Events A and B are:

Given the parametric equations. x=t,y=2t+1{“version”:”1.1″,”…

Given the parametric equations. x=t,y=2t+1{“version”:”1.1″,”math”:”x = \sqrt{t},\, y = 2\sqrt{t}+1″} (a) Eliminate the parameter and write the corresponding rectangular equation. (b) Sketch the graph of the curve. Label at least two points on your graph. Show the orientation of the curve.