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- Visualize that two tributaries A and B at their confluence form a river C. Statistical properties of flow data for tributaries A and B indicate that tributary A has a yearly discharge rate smaller than its mean flow rate (?̅?) in 50% of the years while tributary B has a yearly discharge rate smaller than its mean flow rate (?̅?) in 60% of the time. In 70% of the years in which tributary A has a discharge rate smaller than its mean discharge rate (?̅?), tributary B also has a discharge rate smaller than its mean discharge rate (?̅?). Compute the probability that (i) both tributaries have a discharge rate smaller than their mean discharge rates, (ii) at least one tributary has a discharge rate smaller than its mean discharge rate, (iii) tributary A has a discharge rate smaller than its mean discharge rate given that tributary B has a discharge rate smaller than its mean discharge rate, (iv) at least one tributary has discharge rate higher than its mean discharge rate, and (v) probability…Smith is studying the relationship between length (X) and weight (Y) of infants. Please help him fit an exponential growth model to find the relationship between length and weight. Write down the model and explain how to fit the model (i.e., how to estimate regression coefficients) and what the intercept is for the relationship between X and Y (in symbolic form).An economist wants to compare the economic growth rate (%) within 50 kilometers and 100 kilometers to cities in a country. He collected 6 cities of the country, and calculated the growth rates with 50km and 100km as shown in the following table. Choose an appropriate test to validate that regions within 100km have higher economic growth rate than the regions within 50km to cities. You can make certain assumptions, but need to write to indicate your assumption. Show calculations by hand.
- The rate of increase of COVID-19 infection is directly proportional to the number of people infected and to the number people not yet infected. An isolated remote barangay of population 10,000 records its first case on June 15, 2020. After two days, 100 people are infected. Develop a model that predicts the number of COVID-19 cases in the barangay. How long will it take for 90% of the population to be infected? Assume that the virus persists in the person infected.7. The average cost of a meal prepared outside of the home was $12.96 in October 2020 and isincreasing at a rate of $0.71 per year. (a) Create a model for this situation. (Recall that you should define the independent anddependent variables and their units, as well as provide an equation.) (b) If this trend continues, what will be the average cost of a meal in April 2023?The success of a project depends on the effort level of a worker. In case of successthe revenues will be 400,000 TL whereas in case of no-success the revenues will be 0. The workercan provide a low effort level or a high effort level. The effort level cannot be observed by theprincipal. The worker requires an expected salary of 60,000 TL to provide the low effort leveland an expected salary of 80,000 TL to provide the high effort level. The success probabilitiesfor the project are 40% in case of low effort level and 80% in case of high effort level. Whatshould be the minimum bonus (that is awarded in addition to the base salary in case of success)and the base salary for the worker so that the worker has the incentives to provide the higheffort level?
- incorrect,4.6.29-BE Question Help A commercial cherry grower estimates from past records that if 15 trees are planted per acre, then each tree will yield an average of 31 pounds of cherries per season. If, for each additional tree planted per acre (up to 22), the average yield per tree is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield?Figure shows that attitudes about some life goals have changed dramatically over the years. In particular, the freshman class of 2013 was more interested in making money than the freshmen of 1969 had been. In 1969, 42% of first-year college students considered “being well-off financially” essential or very important. For the period from 1969 through 2013, this percentage increased by approximately 0.9 each year. If this trend continues, by which year will all college freshmen consider “being well-off financially” essential or very important?(1 point) A tank initially contains 200 gallons of brine, with 50 pounds of salt in solution. Brine containing 2 pounds of salt per gallon is entering the tank at the rate of 4 gallons per minute and is is flowing out at the same rate. If the mixture in the tank is kept uniform by constant stirring, find the amount of salt in the tank at the end of 40 minutes. The amount of salt in the tank at the end of 40 minutes is ( ? ) pounds.
- As production level increases, the average cost for a company to produce each unit of its product also increases , Determine whether the statement makes sense or does not make sense, and explain your reasoning.Women in the Workforce The following table givesthe number of women age 16 years and older (inmillions) in the U.S. civilian workforce for selectedyears from 1950 and projected to 2050.a. Use x as the number of years past 1950 to create acubic model using these data.b. During what year does the model indicate that thenumber of women in the workforce will reach itsmaximum?Researchers have created every possible "knockout" line in yeast. Each line has exactly one gene deleted and all the other genes present (Steinmetz et al. 2002). The growth rate—how fast the number of cells increases per hour—of each of these yeast lines has also been measured, expressed as a multiple of the growth rate of the wild type that has all the genes present. In other words, a growth rate greater than 11 means that a given knockout line grows faster than the wild type, whereas a growth rate less than 11 means it grows more slowly. The growth rate of a random sample of knockout lines is 0.86, 1.02, 1.02, 1.01, 1.02, 1, 0.99, 1.01, 0.91, 0.83, 1.01 What is the standard deviation and variance of growth rate for this sample?
