Find the midpoint of the line segment joining the points (10,7) and (-2,-7). The midpoint is (Type an ordered pair. Use integers or simplified fractions for any numbers in the expression.)
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- Explain the differences between Gaussian elimination and Gauss-Jordan elimination.A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi squareA meat processing factory performs tasks by a series of 4 operators. Below table lists for each of the four resource pools, the unit load and the number of resource units. Base on this information, compute the effective capacity of each of the resource pools. Which one is the bottleneck of the meat processing operation? operator 3 operator 1 operator 2 operator 4
- I am having troble interpreting these two tables.Workers in Company XYZ used 200 computers for their daily operation. In that company, the computers are categorized into type A and B. The workers usually complained that they experience performance problems with the computers more than once per week. Based on a survey, the company found that fifty of the Type A computers will encounter problems more than once per week. Meanwhile seventy-five of the Type B computers do not experience problems more than once per week. There are 120 Type B computers in the company. Based on the above scenario determined whether the events “Type A computer” and “experience problems more than once per week” are independent event? Explain.When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance rates
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- In a top business school, 60% of its students are female, and 40% are male. All of them have totake a core module, Business Analytics. Although there are quite a number of students who like themodule, there are also quite a number who dislike it. The remaining students are indifferent to it.A study found that 40% of the female students dislike the module. Only 25% of male students dislikeit. Moreover, only 10% of students are indifferent to it. Interestingly, equal numbers of male andfemale students are indifferent to it, among all students. Given that a student who like Businessanalytics, what is the probability that this student is a male student?A management consulting firm has four types of professionals on its staff: Managing consultants, senior associates, field staff and office staff. Average rates charged to consulting clients for work of each of these professionals categories are k3150/hour, k1680/hour, k1260/hour and k630/hour, respectively. Office records indicate the following number of hours billed last year in each category: 8,000, 14,000, 24,000 and 35,000, respectively. If the firm is trying to come up with an average billing rate for estimating client charges for next year, what would you suggest they do and what do you think is the appropriate rate?A car agency has offices in Phoenix, Denver and Chicago. The agency allows one- or two-way rentals so that cars rented in one location may end up in another. Statistics show that at the end of each week 70% of all rentals are twoway. As for the one-way rentals: from Phoenix, 40% go to Denver, and the rest to Chicago; from Denver, 60% go to Chicago and the rest to Phoenix; from Chicago, 40% go to Denver and the rest to Phoenix; (a) Express the situation as s Markov chain. (b) If the agency starts the week with 100 cars in each location, what will the distribution be like in two weeks (two-step transition probability matrix)? (c) If each location is designed to handle a maximum of 120 cars, would there be a long run space availability problem in any of the location?
