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- A well-known maker of jams and jellies packages its james in jars labeled ~250 milliliters. The process used to fill the jars is known to disoense an amount of jam that is Normally distrubted variable with μ = 252 milliliters and σ= 0.9 milliliters. What proportion of jars from this filling process will contain no more than 253.5 milliliters?There is an environmentaldebate over the use of cloth versus disposable disperse if we asume that between birth and 2.5 y of age, a child uses 3 diapers per day estimate the total number of disposable diaper used in EU per yearAn fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 126 pounds, and will sell for $4.7 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 1.8 pounds, while the price per pound will decrease by $0.06.A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.)
- What does it mean if two quantities vary directly?The decay of radioactive elements can sometimes be used to date events from Earth’s past. In a living organism, the ratio of radioactive carbon, carbon-14, to ordinary carbon stays fairly constant during the lifetime of the organism, being approximately equal to the ratio in the organism’s atmosphere at the time. After the organism’s death, however, no new carbon is ingested, and the proportion of carbon-14 in the organism’s remains decreases as the carbon-14 decays. Scientists who do carbon-14 dating often use a figure of 5730 years for its half-life. Find the age of a sample in which 10% of the radioactive nuclei originally present have decayed.The number of days a barrel of water lasts varies inversely with the people who consume it. If a barrel of water lasts four days for five people, how long will it last if the consumer will be ten people? 1. As you have observed on your solution, what happen to the number of days a barrel of water could last as the number of persons increases from 5 up to 10 people? 2. Dealing with the same problem, crrate your ow questio regarding the number of days the barrel could last if there is a certain number of consumers. Also show your solution to your problem.
- An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 127 pounds, and will sell for $4.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 2.1 pounds, while the price per pound will decrease by $0.07. A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.) Answer: __________ (rounded to the nearest tenth) B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.) Answer: ____________ dollars (rounded to the nearest dollar)The U.S. government wants to determine whether immigrants should be tested for a contagious disease, and it is planning to base this decision on financial considerations. Assume that each immigrant who is allowed to enter the United States and has the disease costs the country $100,000. Also, assume that each immigrant who is allowed to enter the United States and does not have the disease will contribute $10,000 to the national economy. Finally, assume that x percent of all potential immigrants have the disease. The U.S. government can choose to admit all immigrants, admit no immigrants, or test immigrants for the disease before determining whether they should be admitted. It costs T dollars to test a person for the disease, and the test 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 test negative. The government’s goal is to maximize the expected net financial benefits per…Based on the regression equation, an advertising expenditure of KShs. 1.9 million should produce what amount of sales on the average.
- Suppose that poaching reduces the population of an endangered animal by 4% per year. Further suppose that when the population of this animal falls below 70, it's extinction is inevitable. If the current population of the animal is 1500, when will it face extinction?The price of a one-way Amtrak train ticket between Washington and Boston was $64.00 in 2004. In 2020, that same ticket costs $129.00. A Greyhound Bus ticket between the same two cities cost $28.00 in 2004 and $45.00 in 2020. 2004 A 2020 B Amtrak $64.00 $129.00 Grey Hound $22.00 $45.00 Which ticket has increased more in relative terms (%)? Show your calculations to back up your answer. Adjusting for inflation, what is the percentage increase in the cost of the Amtrak ticket between 2004 and 2020?An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 130 pounds, and will sell for $0.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 7 pounds, while the price per pound will decrease by $0.02.A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.)Answer: (rounded to the nearest tenth)B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.)Answer: dollars (rounded to the nearest dollar)