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What is the c value obtained for the special solution of the equation under the initial condition y (0) = - 1? Equation is in IMAGE
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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 1a) If the prevalence rate is 50%, the sensitivity is 85%, and the specificity is 90%, what will the PPV value be? b) What are possible slider values that will produce a PPV value of 1? c) What are possible slider valuse that will produce an NPV value of 1? d) If sensitivity and specificity remain constant while prevalence decreases, what effect does that have on the PPV? e) If prevalence and specificity remain constant while sensitivity increases, what effect does that have on the NPV?43. The U.S. government wants to determine whetherimmigrants should be tested for a contagious disease,and it is planning to base this decision on financialconsiderations. Assume that each immigrant who isallowed to enter the United States and has the diseasecosts the country $100,000. Also, assume that eachimmigrant who is allowed to enter the United Statesand does not have the disease will contribute $10,000to the national economy. Finally, assume that x percentof all potential immigrants have the disease. The U.S.government can choose to admit all immigrants, admitno immigrants, or test immigrants for the diseasebefore determining whether they should be admitted. Itcosts T dollars to test a person for the disease, and thetest result is either positive or negative. A person who does not have the disease always tests negative. However, 10% of all people who do have the disease testnegative. The government’s goal is to maximize theexpected net financial benefits per potential…
- Insurance companies can lower their risks by A) using the law of large numbers to make the number of claims more predictable. B) diversifying across insurance products. C) granting large numbers of independent risk policies. D) all of the aboveIf the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program?It is known that in any given year, • 90% of the people in a city move to the suburbs; • 80% of the people in the suburbs do not move to the city. Given an initial city population of 55,000 and an initial suburb population of 77,000, what are the long-term population levels of the city and the suburb?
- A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.part C D 33000331 UPH-1 St. Lawrence dolomite 618 0.05 2.69 2.74 2.83 48000168 Langer Platteville dolomite 127.8 0.06 2.69 2.75 2.86 52000415 3-21-13z1 Galena dolomite 575 0.04 2.72 2.76 2.83 52000415 3-21-13z1 Platteville dolomite 740 0.05 2.7 2.75 2.85 60000086 VD #1 Silurian dolomite 684 0.03 2.75 2.78 2.83 60000086 VD #1 Galena dolomite 1070 0.05 2.69 2.74 2.84 60000086 VD #1 Platteville dolomite 1142 0.02 2.77 2.79 2.83 13001466 NS-2 Tunnel City sandstone 60.1 0.14 2.41 2.54 2.79 13001466 NS-2 Tunnel City sandstone 60.2 0.28 1.93 2.21 2.67 13001466 NS-2 Tunnel City sandstone 118.3 0.3 1.88 2.18 2.7 33000331 UPH-1 St. Peter sandstone 222 0.22 2.06 2.28 2.65 33000331 UPH-1 Jordan sandstone 531 0.21 2.09 2.3 2.65 33000331 UPH-1 Tunnel City sandstone 644 0.18 2.22 2.4 2.7 33000331 UPH-1 Wonewoc sandstone 735 0.2 2.12 2.32 2.65 33000331 UPH-1 Wonewoc sandstone 840 0.27 1.93 2.2 2.66 33000331 UPH-1 Mt. Simon sandstone 927 0.18 2.31 2.49 2.81…An investor has $70,000 to divide among several instruments. Municipal bonds have an 8.5% return, C D’s a 5% return, t-bills a 6.5% return, and growth stock 13%. The following guidelines have been established: No more than 20% in municipal bonds Investment in growth stock fund should be greater than other three alternatives. At least 10% invested in treasury bills and municipal bonds Less should be invested in treasury bills and growth stocks than in CDs and municipal bonds by a ratio of 1.2 to 1. All $70,000 should be invested. Formulate a model and solve it using computer. How should the $70,000 be allocated to each alternative to maximize annual return? What is the annual return? Notes: Attach a Linear Programming computer file of the solution (QM for Windows - save it as a ".lin" file). Mac computer file is not accepted. Attach a Word file to answer the questions: How should the $70,000 be allocated to each alternative to maximize annual return? What is the annual return?
- In general, ___________% of the values in a data set lie at or below the 28 th percentile. _______________ % of the values in a data set lie at or above the 90 th percentile.. If a sample consists of 700 test scores, _________of them would be at or below the 52 th percentile. If a sample consists of 700 test scores, ________ of them would be at or above the 64 th percentile.Question 4 A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 25% of the people who receive the coupons for the free membership will use the coupon. When testing the hypothesis that at least 25% of the people who receive the coupons for the free membership will use the coupon, what is the null and alternative hypothesis?calculate d and e with good working outs ...