A psychic claims he can predict one year in advance whether a given movie star will win an Oscar. In the previous five years, he's successfully predicted 75% of the Oscar winners. Some Hollywood insiders claim he's actually privy to a group that's been rigging the Oscars, and it's your job to investigate this.

Do you think the psychic's predictions are impressive? Why or why not?

How would you go about calculating a P-value for his record, what kind of data would you need to calculate the value, and how low a P-value would you need to reject the hypothesis that the psychic's accuracy is due to chance alone?

Do a swot analysis for the business idea you chose in question 2 above. describe at least 2 strengths, 2 weaknesses, 2 opportunities, and 2 threats for that company idea. (1-8 sentences. 4.0 points)

James was playing a game with his friends. he won 35 points. then he lost 15, lost 40 and won 55. how did he come out

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).