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A researcher was interested in determining whether or not “Money can buy happiness”. He randomly sampled 300 individuals and asked them how much money they make annually as well as how happy they were at this point in their life on a scale from 1-10. He then proceeded to analyze the data and came up with the following regression equation where X represents the amount of money in tens of thousands of dollars that they made (i.e. $75,000 would correspond to 7.5) and Y represents their predicted happiness level:   Use this linear regression equation to predict the an individuals happiness level if their annual income is $50,000.  Type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 6.54321 then you would type in 6.543. 

Suppose you are looking at a breakdown of letter grades for 150 students in a given course. You are also given the following relative frequencies for each of the letter grades shown below:  A: 32% B: 26% C: 24% D: 12% F: 6%   Using this information, identify the number (frequency) of students that earned a B for this course. Make sure to explain how you arrived at your answer or show your work. 

6.  __________________________ (vestirse) bien para darles buena impresión.

e.  Tienen que contratar a más personas para que ____________________ (haber) suficientes empleados.

c.  Los gerentes reciben una bonificación anual a menos que sus empleados no ____________________ (hacer) bien su trabajo. 

CULTURA (7 puntos)    Answer the questions about Argentina and Uruguay, porfavor   Los vaqueros famosos de Argentina y Uruguay son conocidos como…

Que río forma la frontera entre Argentina y Uruguay?

Reflexión final. In Cristina Vazquez´s article, she quoted Adrián Todolí who said “Las plataformas deberían de ponerse las pilas y expulsar a las personas que hacen comentarios fuera de lugar”. Do you think this is a good or a bad idea? Justify your answer by using information you have learned from the discussions in VoiceThread, as well as Aaron’s and other influencers’ experiences. (100-150 words in Spanish)       En caso de que los necesiten (copiar y pegar): á é í ó ú  ÁÉÍÓÚ   ñ ¿? ¡ !

7. Find the volume of the solid obtained by rotating the region bounded by y = x3 and y = x2 about the horizontal line x = 3. Use the shell method.     

5.  Use the SHELL method to find the volume of the solid obtained by rotating the region bounded by the curves y = e-x, x = 1, x = 2 and y = 0 about the y-axis. Document your work well and clearly to increase opportunities for points.