An investigator wishes to determine whether alcohol consumption causes deterioration in the performance of automobile drivers. Before the driving test, subjects drank a glass of orange juice which, in the case of the treatment group, is laced with three ounces of vodka. Performance is measured by the number of errors made on a driving simulator. There were one hundred and sixty six volunteer subjects which were randomly assigned, in equal numbers, to the two groups. For subjects in the treatment group, the mean number of errors ( x1 ) equals 24 and the standard deviation ( s1 ) equals 17.5. For subjects in the control group, the mean number of errors ( x2 ) equals 20, and the standard deviation ( s2 ) equals 10.85. Test the claim that alcohol consumption causes deterioration in the performance of automobile drivers.

Which zero pair could be added to the function f(x) = x2 + 12x + 6 so that the function can be written in vertex form? o 3, -3o 6,629,-936, 36

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).

Which of the following is closest to 32.9 x 7.5? a: 232 b: 259 c: 220 d: 265