Compound Probabilities Instructions:
Fill out the following 2-way frequency table about ice cream preferences. Then answer the
questions below.

Preferred Ice Cream Flavor

Vanilla
Chocolate
Rocky Road
TOTAL
Male
9
6
4
19
Female
3
6
3
12
TOTAL
12
12
7
31

Student
Gender

1. Show your work for each part of this question. What is the probability of randomly selecting:
a. A female?

b. A student who is male and prefers Rocky Road?

c. A student who is male and likes vanilla, or a student who is female and prefers
Chocolate?

2. For each part of this question, choose which scenario will have a higher probability. Support your A decision by including calculations.

a. A student who prefers vanilla, chocolate, or rocky road?

b. A female student who prefers vanilla, or a female student who prefers rocky road?

c. A female student who prefers chocolate, or a male student who prefers rocky road?

David is spreading mulch on a triangular area of his flower bed. the coordinates of the vertices of the area are (1, 3), (9, 3), and (4, 6). what is the area of the triangle if each square has an area of 3 square feet?

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.