Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a number line.9x – 10 ≤ 2x – 11  

Simplify the algebraic expression.(x3y2 + 2x2y3 + 5xy + 1) + (x2y3 + 5x3y2 + 4xy – 4)

Solve the inequality. Give the solution set in both interval and graph forms.a – 11 < -3    

If Terry’s discount rate is 50%, what is their associated discount factor?

The _______ perspective of personality focuses on healthy people and their full potential.

Lois tends to be self-confident and rarely experiences negative emotions. She would most likely receive a ________ score on the “Big Five” factor of __________.

A potential buyer is trying to decide if a new motorcycle is good or bad. The prior belief that the motorcycle is good is 50%. Then the potential buyer receives signals (test rides), where g represents a good test ride performance and b represents a bad test ride performance by the motorcycle. Also good motorcycles perform well on test rides and bad motorcycles ride poorly on test rides with 60% probability. Given that the potential buyer goes on a single good test ride, followed by two bad test rides, what is her posterior probability that the motorcycle is a good one?

True or False: The following scenario is an example of confirmation bias. John hears a rumor that his co-worker Barry is having an affair with his co-worker Mary, but he is initially unsure that it is true. On Monday, John notices that Barry smiling at Mary when talking about their TPS reports. On Tuesday, John observes Mary holding eye-contact with Barry while discussing the situation with the loading dock. Finally, on Wednesday John sees Barry wink at Mary after telling her an anecdote that ended with him saying “I tried to enter the bare-knuckle boxing tournament this past weekend but for the life of me I couldn’t find anywhere to get bear knuckles.” At this point, John is certain that they were having an affair. 

Mandy is a gambler and subject to the projection bias with alpha = 3/4. Her favorite game to play is die-rolling because it is easy to understand. The game only has six states: 1, 2, 3, 4, 5, or 6. Each state can happen with equal probability and the realization is independent across rolls of the die. Mandy’s goal is to guess what state will next be realized by the die. If she guesses correctly, she will earn a payoff equal to six-times the amount she wagers. If she guesses incorrectly she will simply lose whatever he wagers.  Mandy is currently gambling on a Madison Metro bus with some UW undergraduate students. The last die roll came up as a ‘4’. As she is subject to the projection bias mentioned in the previous paragraph, she decides to bet $100 on that state. How much does Mandy expect to win or lose? Round your answer to the nearest cent and do not include the dollar sign ($). 

Peak–end evaluation has been documented primarily in the context of consumer experiences and health procedures. Imagine you are advising a UW administration considering changes to its football gameday experience to improve ticket-holder satisfaction and increase attendance. Using the peak–end rule as a guiding framework, propose two specific interventions that could influence the remembered experience of a football Saturday without altering the game itself.  In your response, you must: Explain, in your own words, the underlying cognitive mechanism of the peak–end rule. Justify how each proposed intervention targets the “peak” or “end” of the gameday experience. Incorporate at least one other economic concept from our course to strengthen your argument. Discuss potential unintended consequences of your interventions, supported by relevant course readings or empirical examples.