TIME REMAINING 58:17
A bag contains 1 red tile, 1 blue tile, 1 green tile, 1 yellow tile, and 1 purple tile. Kaison chooses a tile from the bag, records its color, and then replaces the tile. She repeats this procedure a total of 50 times. Her results are shown in the table.

Tiles
Color
Observed Frequency
Relative Frequency
Red
15
StartFraction 3 over 10 EndFraction
Blue
12
StartFraction 6 over 25 EndFraction
Green
8
StartFraction 4 over 25 EndFraction
Yellow
10
One-fifth
Purple
5
StartFraction 1 over 10 EndFraction

How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow tile?
The experimental probability is the same as the theoretical probability.
The experimental probability is twice the theoretical probability.
The experimental probability is one-half of the theoretical probability.
The experimental probability is one-fifth of the theoretical probability.

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).