At appalachian state university it is known that 52% of undergraduates are female. if a sample of 150 undergraduate students was taken, which of the following would accurately describe the sampling distribution?
select all that apply.
select one or more:

a. the sampling distribution will be approximately normal.
b. the sampling distribution will be skewed right.
c. the sampling distribution will be skewed left. incorrect
d. the mean of the sampling distribution will be close to 52% correct
e. the mean of the sampling distribution will be close to 50%
f. we can not determine the mean of the sampling distribution from the given information.
g. the standard deviation of the sampling distribution will be 0.0408
h. the standard deviation of the sampling distribution will be 0.0017 incorrect
i. the standard deviation of the sampling distribution will be 0.4996.
j. we can not determine the standard deviation of the sampling distribution from the given information.

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).