All the winners from the Gee Whiz Everyone Wins! game show have the opportunity to compete for the bonus prize. Each winner chooses one block from each of two bags. Each bag contains one red, one yellow, and one blue block. The bonus game consists of two events, also known as a compound event. The contestant must predict which color they will choose from each of the two bags. For example, they would guess “I will pick red and then blue.” If the prediction is correct, the contestant wins a $10,000 bonus prize!

1. Draw a tree diagram to show all the possible color pairs that can be chosen.
Draw the tree diagram on looseleaf paper. Take a picture of your work and insert
it in the space below.

2. Use the tree diagram to find the following probabilities:
A. P(First red, then blue)
B. P(Same Color)
C. P(Yellow and Blue, in any order)

3. Which of the color combinations listed in Question 2 would give a contestant the
best chance of winning?

#1-20 state whether the angles are alternate interior, alternate exterior, vertical, or corresponding angles.

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups

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).