10. Critical Thinking The following data represent salaries, in thousands of dol- lars, for employees of a small company. Notice that the data have been sorted in
increasing order.
24 25 25 27 27 29 30 35 35 35 36 38 38
39 39 40 40 40 45 45 45 45 47 52 52 52
58 59 59 61 61. 67 68 68 68 250
(a) Make a histogram using the class boundaries 23.5, 69.5, 115.5, 161.5,
207.5, 253.5.
(b) Look at the last data value. Does it appear to be an outlier? Could this be the
owner's salary?
(c) Eliminate the high salary of 250 thousand dollars. Make a new histogram
using the class boundaries 23.5, 32.5, 41.5, 50.5, 59.5, 68.5. Does this his.
togram reflect the salary distribution of most of the employees better than
the histogram in part (a)?

List the 10 possible samples (without replacement) of size 3 3 that can be obtained from the population of five officials.

Which quadratic function best fits this data? x y 1 32 2 78 3 178 4 326 5 390 6 337 a. y=11.41x2+154.42x−143.9 b. y=−11.41x2+154.42x−143.9 c. y=11.41x2+154.42x+143.9 d. y=−11.41x2+154.42x+143.9

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).