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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1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30 second time interval. We take speedometer readings every five seconds and record them in the following table: Time (seconds) Velocity (m/sec) 10 15 20 25 30 23 29 32 39 45 43 41 Write a sentence, including units, stating the upper and lower estimates of the distance traveled over the first 30 seconds.
(2W RW gl|SC| ( | M Si | JI W Er cation.com/ext/map/index.html?_con=con&external_browser=0&launch itags | Tag Ge...... What is 90 percent... Netflix Netflix Instagram Chapter 4 (Sections 4.1 through 4.5) Below are monthly rents paid by 30 students who live off campus. 730 730 730 930 700 570 690 1,030 740 620 720 670 560 740 650 660 850 930 600 620 760 690 710 500 730 800 820 720 700 Click here for the Excel Data File (a) Using Excel, find the mean, median, mode, and standard deviation. (Round your answer Descriptive Statistics Data Mean Median Mode Standard Deviation (b) Which measure or measures of central tendency are most appropriate for this data set? The mean or the median because these measures are close in value, which suggests th The median because the data set is strongly skewed. The moge because the data is integer valued with a very small range. 7 of 9 of 9 Ne < Prev W Di | Pr|1 Url=https%253A%252 MovieStarPlanet-F... G Saved
Objects such as asteroids and comets that come into proximity with the Earth are called near-Earth objects (NEOS). The National Aeronautics and Space Administration (NASA) tracks and catalogues all NEOS that are at least 1 kilometer wide. Data on NEOS can be found on the NASA website. The accompanying table gives the relative velocities in kilometers per second (km/s), arranged in increasing order, for some of the NEO close approaches to the Earth during June 2013. The sample mean and sample standard deviation of these velocities are 11.5 km/s and 6.0 km/s, respectively. Complete parts (a) through (c) below. E Click the icon to view the data table, Data table a. Compare the percentage of the observations that actually lie within two standard deviations to either side of the mean with that given by Chebyshev's rule with k = 2. The percentage of observations that actually lie within two standard deviations to either side of the mean is%. 4 5 5 (Type an integer or decimal rounded to one…
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-one wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, σ can be assumed to be 265 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec
Compared to the aftershocks ,the earth quakes off the east coast of japan to the nearest whole number was.......times stronger
A park ranger is searching for bears in a region of the park where on average there are 5 bears per square mile. The bears are solitary independent creatures, so it is reasonable to assume that the numbers of bears in disjoint regions are independent unknowns and that the number expected in any region is proportional to the area of the region. The ranger can also assume that in a very tiny region, say a square inch, it is impossible to find more than one bear. What is the standard deviation in area (in square miles) he has to search in order to find 16 bears?
Throughout the first semester of 2015, Macro Inc. sold plums in three deliveries as follows: 300 boxes of plums at $2.25 per box, 250 boxes at $1.90 per box and 400 boxes at $1.75 per box, respectively. Find the average price per box during the term in question. (Provide your answer to two decimal places)
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-three wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, ? can be assumed to be 255 cm/sec.
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-five wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, ? can be assumed to be 255 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit ______cm/sec upper limit _____cm/sec
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since your only allowed to answer in 3 sub parts please answers questions 2 at a time in each subpart please !!! 4.The average distance from Earth to everyone's favorite dwarf planet, Pluto, is 3.27 billion miles. At the speed of 25,054 miles per hour, how long would it take to reach Pluto? Give your answer in years. 5.Space travel is expensive! For their trip to the Moon, the Apollo astronauts' living quarters were only 213 cubic feet (that's smaller than a typical small bathroom in a house). How many dollar bills could fit in there? A dollar bill's dimensions are: length: 6.14 inches, width: 2.61 inches, thickness: 0.0043 inches 6.The current US debt as of 8/23/21 was about $28.7 trillion. Calculate how far a stack of dollar bills in this amount would reach in miles. Assume the dollar bills are being stacked laying flat. show your work. Make sure to include units in your work 7.The current US debt as of 8/31/20 was about $26.7 trillion. Using the distance you found in…
At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-one wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, σ can be assumed to be 285 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec

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