Abusiness school professor is interested to know if watching a video about the central limit theorem students understand it. to assess this, the professor tests students’ knowledge both immediately before they watch the video and immediately after. the professor takes a sample of students, and for each one compares their test score after the video to their score before the video. using the data below, calculate the p-value for the following hypothesis test:

Someone this asap for a group of students attends a basketball game. * the group buys x hot dogs at the concession stand for $2 each. * the group buys y drinks at the concession stand for $3 each. the group buys 29 items at the concession stand for a total of $70. how many hot dogs did the group buy?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

What is the domain of the of the exponential function shown below?