10. Jenny uses the following method to find 28% of 60,000 mentally: Twenty-five percent is , and of 60 is 15, so 25% of 60,000 is 15,000. One percent of 60,000 is 600, and that times 3 is 1800. So the answer is 15,000 + 1,800, which is 16,800. Write a string of equations that calculates 28% of 60,000 and that incorporates Jenny’s ideas. Write your equations in the following form: 28% 60,000 = some expression = some expression onp su wollot = 16,800
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1Here are the countries with the five highest estimated costs of software piracy: United States ($9.1 billion), China ($8.7 billion), India ($2.7 billion), France ($2.1 billion), United Kingdom ($1.9 billion). Among these five countries, the United States has 37.1% of the cost of piracy. Is it correct to conclude that the United States has 37.1% of the total cost of piracy for all countries? What do these results tell us about the costs of piracy in the other countries not included here?HypertensionA national study found that treating people appropriately forhigh blood pressure reduced their overall mortality by 20%.Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives donot know they have high blood pressure, 50% of those whodo know are inadequately treated by their physicians, and50% who are appropriately treated fail to follow this treatment by taking the right number of pills.4.32 If the preceding 50% rates were each reduced to40% by a massive education program, then what effectwould this change have on the overall mortality rate amongtrue hypertensives; that is, would the mortality rate decreaseand, if so, what percentage of deaths among hypertensivescould be prevented by the education program?
- A forest consists of two types of trees; young (between 0 and 3 m tall) and adults (more than 3 m). Each year, 20% of young trees die, 10% sell for $20 each, 30% remain between 0 and 3 m, and 40% grow taller than 3 m. Each year, 40% of adult trees sell for $50, 20% sell for $20, 30% remain in the forest, and 10% die. What percentage of the trees planted sell for $50?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 rates1. Suppose that two students, A and B, are both 29 years old but A is a female whereas B is a male, A is single while B is married. Both had an income of 4500 cedis when in the university and both have health inventory score of 21. Student A had two kids while in the university whereas student B had 4 kids. Both scored 16 on life satisfaction inventories as well as 23 on socioeconomic status of parents. Student A was a smoker but B was not. A scored 7 while B scored 12 on spirituality inventory. Both finished the university program but whiles a was earning 9000 Ghana cedis seven years after university, B was earning 6800. What is the predicted difference in the life satisfaction score of these two student seven years after university? 2. How much higher is the life satisfaction score predicted to be if the score on spirituality inventory rises by 25? 3. Which one of the pairs of variables selected to be multicollinear may be deleted from the regression and why? 4. Interpret the…
- 1. Suppose that two students, A and B, are both 29 years old but A is a female whereas B is a male, A is single while B is married. Both had an income of 4500 cedis when in the university and both have health inventory score of 21. Student A had two kids while in the university whereas student B had 4 kids. Both scored 16 on life satisfaction inventories as well as 23 on socioeconomic status of parents. Student A was a smoker but B was not. A scored 7 while B scored 12 on spirituality inventory. Both finished the university program but whiles a was earning 9000 Ghana cedis seven years after university, B was earning 6800. What is the predicted difference in the life satisfaction score of these two student seven years after university? 2. How much higher is the life satisfaction score predicted to be if the score on spirituality inventory rises by 25? 3. Which one of the pairs of variables selected to be multicollinear may be deleted from the regression and why? 4. Interpret the…A marketing research group conducting a telephone survey must contact at least 150 wives and 120 husbands. It costs P100 to make a daytime call and (because of higher labor costs) P150 to make an evening call. On average, daytime calls reach wives 30% of the time, husbands 10% of the time, and neither of these 60% of the time, whereas evening calls reach wives 30% of the time, husbands 30% of the time, and neither of these 40% of the time. Staffing considerations mean that daytime calls must be less than or equal to half of the total calls made. How many should be interviewed at each period to minimize the cost of completing the survey? fomulate the LP Model; identify the decision variables used in the model; and determine the optimal solution using graphical method.The research department at a manufacturing company has developed a new process that it believes will result in an improved product. Management must decide whether to go ahead and market the new product. The new product may or may not be better than the old one. If the new product is better and the company decides to market it, sales should increase by $60,000. If it is not better and they replace the old product with the new product on the market, they will lose $25,000 to competitors. If they decide not to market the new product, they will lose a total of $50,000 if it is better and just research costs of $20,000 if it is not. Answer parts a through c below. (a) Prepare a payoff matrix. Start 2 By 2 Table 1st Row 1st Column 60000 2nd Column negative 25000 2nd Row 1st Column negative 50000 2nd Column negative 20000 EndTable 60000 −25000 −50000 −20000 (Type an integer or decimal for each matrix element. Do not include the $ symbol in your answer.) (b) If…
- A national study found that treating people appropriately forhigh blood pressure reduced their overall mortality by 20%.Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives donot know they have high blood pressure, 50% of those whodo know are inadequately treated by their physicians, and50% who are appropriately treated fail to follow this treatment by taking the right number of pills. 2 If the preceding 50% rates were each reduced to40% by a massive education program, then what effectwould this change have on the overall mortality rate amongtrue hypertensives; that is, would the mortality rate decreaseand, if so, what percentage of deaths among hypertensivescould be prevented by the education program?The ratios of calves to yearlings to adults in a wildebeest herd should be 5:3:2 if the herd is to be stable- neither shrink nor grow in subsequent generations. You go out and take a random sample of individuals from this herd and count 52 calves, 28 yearlings and 15 adults. Do you predict that this herd will remain stable? Do the proportions of these 3 age groups in your match those that would be expected in a stable herd?A researcher wishes to compare the effectiveness of group therapy to placebo “antidepressants” (i.e., sugar pills that people think are antidepressants) on negative feelings associated with break-ups. He finds 22 people who went through a break-up in the last 2 weeks. He places half of them in a therapy group that meets every day for 2 weeks. He gives the other half the sugar “antidepressant” (placebo) every day for the same time. Unfortunately, he soon discovers that two participants from the Group Therapy session are now dating each other. Because he is worried that their data will not be representative of the effects of group therapy, he decides to remove their data from that sample. So now, the Group Therapy sample only includes 9 participants. The researcher thought that the effects of Group Therapy might be different from those of Placebo antidepressants, but he is not sure how. At the end of the 2 weeks of treatment, he asks all participants to rate their negative feelings on a…