Consider a game in which a participant pays $2 to roll a die. The participant receives $3 if they roll a 1 (i. E. They go up by a $1) and they receive $4 if they roll a 6 (i. E. They go up by $2). If they roll any other number they lose their $2 (i. E. They lost $2). What is the average expected monetary value of a single roll?

Find the average speed of a rabbit that runs a distance of 22 m in a time of 1.8 s .

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.

Consider the equation  y−2=3(x+2).which option correctly identifies the point and slope from the equation and also provides the graph that correctly represents the equation?