The housing market in the city of Toronto has an average selling price of 5987,551 with a standard deviation of $245,001. A realtor wants to promote their business selling houses in the city.
a) Describe the sampling distribution if the realtor randomly selects 55 houses.
b) Use normal approximation to calculate the probability that the housing price is more than $1,000,000 from a random sample of 55 houses.
C) Suppose that the realtor samples 100 houses instead. Would the standard deviation of the new sampling distribution be bigger or smaller
than the standard deviation of the sampling distribution with 55 houses? Why?

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).