The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an explosion in the oil rig Deepwater Horizon,which resulted in the deaths of 11 people and triggered a massive oil spill into the Gulf of Mexico. Estimates of the exact amount of theoil spilled vary based on the source, but it is clearly a function of the number of days n it lasted and the leak rate of the oil, estimatedby the United States Geological Service (USGS) to be 504,000 gallons each day! The function u that estimates the amount of oil spilledin n days can be defined as u(n) = 504,000n gallons/day.To find out how much oil spilled the first month (30 days), let n = 30:u(30) = 504,000 (30)U.S. Coast Guard photoa(n) :According to BP's worse-case scenario, the amount of oil spilled in n days can be estimated by the function b(n) = 2.520n million.gallons, while the function r(n) = 441,000n gallons represents the amount of oil that can be recovered in n days.(a) The function a(n) = b(n) — r(n) represents the actual amount of oil that spilled into the Gulf daily. Find a(n).million gallons== 15,120,000 gallons.(b) How many gallons were actually spilled into the Gulf over a 50-day period?million gallons

The function bn is given by: bn=2.520n million gallons where, bn represents the…

Answered: The worst ecological disaster in U.S.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Shelia’s doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 136 milligrams per deciliter (mg/dl) one hour after ingesting a sugary drink. Shelia’s measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 125 mg/dl and σ = 11 mg/dl. a)What are the mean and standard deviation of the distribution of sample proportion if measurements are made instead on 40 separate days? b)If measurements are made on 40 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational diabetes? c)Let’s consider what could happen if we took 40 separate measurements from Shelia. What is the blood glucose level L such that the probability…
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Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of μ = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 40 waves showed an average wave height of x = 16.9 feet. Previous studies of severe storms indicate that σ = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use α = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: μ = 16.4 ft; H1: μ < 16.4 ftH0: μ > 16.4 ft; H1: μ = 16.4 ft H0: μ < 16.4 ft; H1: μ = 16.4 ftH0: μ = 16.4 ft; H1: μ > 16.4 ftH0: μ = 16.4 ft; H1: μ ≠ 16.4 ft…
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