Agroup conducted a poll of 2083 likely voters just prior to an election. the results of the survey indicated that candidate a would receive 46% of the popular vote and candidate b would receive 45% of the popular vote. the margin of error was reported to be 2%. the group reported that the race was too close to call. use the concept of a confidence interval to explain what this means. what does it mean to say the race was too close to call? (a) since it is within the margin of error for candidate a to receive 45% of the popular vote and or candidate b to receive 51%, or for candidate a to receive 53 % of the popular vote and for and candidate b to receive 43%, the poll cannot predict the winner.(b) since the estimated proportions depend on the level of confidence, the candidate predicted to receive the greater percentage of the popular vote changes for different levels of confidence, so the poll cannot predict the winner.(c) since the poll results do not show that one of the candidates has more than 50% of the popular vote, the poll cannot predict the winner. (d) since the difference between the percentages of the popular vote for the candidates is less than the 4% of voters that are undecided the poll cannot predict the winner.

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).