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A bag has 32 yellow, red, blue and green balls. If one ball is drawn from the bag at random, the probability that it will be green is 0.5, and the probability that it will be blue is 0.25. What is the probability that the ball will be either red or yellow?
Plan: As part of its Healthy Students Initiative, Happy Meadows Elementary School decided two years ago to raise its school lunch budget by 20 percent in order to serve healthier food to its students. Result: The nutritional quality of Happy Meadows’ school lunches is no better now than it was two years ago. Further information: the annual rate of inflation since the budget change has been below 4 percent, and all of the money budgeted for lunches has been received by the school cafeteria.
In light of the further information, which of the following, if true, would best explain the result that followed from the implementation of the plan?
Last year, Energy Corp's oil sales increased suddenly in the region of lower Ossamia. The Chief Financial Officer of the company explained this increase as the result of industrialization in the developing Ossamian nation of Mirmu. He predicts that, consequently, trade made possible by industrialization will grow between Mirmu and its Ossamian neighbors this year, leading to further increases in Energy Corp sales in the region.
Each of the following, if true, provides some support for the CFO's prediction described above EXCEPT:
What is the value of m 1 + n 2 ?
If r, s, and t are consecutive even integers and r<s<t, which of the following must be true?
Certain political lobbies in the United States are lobbying for legislation that would make companies responsible under American law if their overseas affiliates and subsidiaries use child labor, on the grounds that American companies are responsible for upholding human rights wherever they operate. Such reasoning is obviously flawed. After all, no one suggests that domestically-owned companies obey the American environmental standards in overseas subsidiaries.
Which of the following best describes the flawedmethod of reasoning used above?
Three programmers , , and working simultaneously and independently at their respective constant rates, can write 10,000 lines of code in 3 hours. How long does it take Programmer , working alone at a constant rate, to write all lines of the code?
(1) Programmers and , working simultaneously and independently at their respective constant rates, can write all lines of the code in 4 hours.
(2) Programmers and , working simultaneously and independently at their respective constant rates, can write all lines of the code in 6 hours.
At a seminar, Workshops A, B, and C take place throughout the day. Workshop A takes place every hour, beginning at 8:00 a.m., and lasts hour. Workshop B takes place every hour, beginning at 8:30 a.m., and lasts 1 hour. Workshop C takes place every hour, beginning at 8:45 a.m., and lasts hours. What is the least total amount of time a person planning to attend all 3 workshops, in order, must spend waiting between workshops if all workshops keep to their schedules?
A passenger is planning a trip that involves three connecting trains that leave from Stations A, B, and C, respectively. The first train leaves Station A every hour, beginning at 6:30 a.m., and arrives at Station B hours later. The second train leaves Station B every hour, beginning at 7:30 a.m., and arrives at Station C hours later. The third train leaves Station C every 30 minutes, beginning at 9:00 a.m. What is the least total amount of time the passenger must spend waiting between trains if all trains keep to their schedules?
On a certain day, a movie theater is playing all 3 parts of a trilogy. Part 1 plays every hour, beginning at 10:00 a.m., and lasts hours. Part 2 plays every hours, beginning at 10:00 a.m., and lasts 2 hours. Part 3 plays every hours beginning at 12:15 p.m. What is the least total amount of time a person planning to watch all 3 parts of the trilogy in order must spend waiting between movies if all movies keep to their schedules?
Two integers will be randomly selected, one integer from set and one integer from set . What is the probability that the sum of the two integers will equal 7?
(1)
(2)
On Days 1 through 4 of a recent week, Product X was out of stock at Retailer R. Day 1 shoppers are those shoppers who came to Retailer R on Day 1 of that week seeking Product X. For each of the first 3 days of that week, the graph shows the subsequent behavior of all Day 1 shoppers who came to Retailer R seeking Product X on that day. Shoppers at Retailer R who purchased a different item in lieu of Product X paid an average of 30% more for the item.From each drop-down menu, select the option that creates the most accurate statement based on information provided.
During a recent semester at University X, 25 students enrolled in an economics class. Each student was enrolled in the university's 4-year business program and took the course either as a traditional student (attending class and sitting for exams in person) or as an online student (listening to lectures and taking exams via computer), but not both. For each student, the table indicates whether he or she took the course online, along with his or her year in the program and scores on Exam 1, Exam 2, and the final exam. The final score was computed as a weighted mean of the scores on Exam 1, Exam 2, and the final exam, using the same weights for each student.