lodine-131, with a half-life of 8.04 days, is used in the treatment of thyroid disorders. Assuming that none of the material isexcreted from the body,what percentage of iodine-131 still will be present in the body one week after ingesting asmall amount of material?53.7%54.7%55.7%56.7%What percentage of iodine-131 still will be present in the body 30 days after ingesting a smallamount of material?7.5%8.0%8.5%9.0%

The radioactive decay is governed using the equation: N(t)=N012tt12. Here, N0 is the initial amount,…

Answered: lodine-131, with a half-life of 8.04…

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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Losses have a lognormal distribution with u = 6.9078 and o = 1.5174. Determine the percentage increase in the number of losses that exceed 1,000 if all losses are increased by 10%. A 3.80% В 4.20% 4.52% 4.78% E 5.10% REPOR
Determine the multiplier for 10.25% decay.
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. The Hill of Tara is a very important archaeological site in Ireland. It is by legend the seat of Ireland's ancient high kings†. Independent random samples from two regions in Tara gave the following phosphorous measurements (ppm). Assume the population distributions of phosphorous are mound-shaped and symmetric for these two regions. Region I: x1; n1 = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x2; n2 = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 (a) Use a calculator with mean and standard deviation keys…
Staff members of an oil refinery believe that the octane reading of a particular petrol depends on one of its raw materials. A sample of the related raw material (x) and octane number (y) was collected and the measurements below were found. E-1 X = 401.90 E-1 x;? = 23,126,35 El-1 yi = 644.00 El-1y? = 59,254.08 El-1 Xi Yi = 36,966.83 i) Estimate and interpret a fitted linear regression model for the data collected. ii) Test the hypotheses Ho : B1 = 0 versus H : B1 # 0 at a 10% level of significance. Include a p-value in your test. ii) Construct a 90% confidence interval for the estimated intercept of the linear regression model. iv) Conduct an F test at a = 0.10, to determine whether the regression model obtained in (i) is significant. v) Calculate and interpret the coefficient of determination, R². Using this value, determine whether the regression model adequate. vi) Suppose that another regression model was constructed from a similar data set where its adjusted R2 was found to be R2…
Researchers want to examine the following traits of a new medication: the half-life of the medication in the body, effectiveness of the medication in treating symptoms, and the rate of insomnia in users of the medication. Which of the variables require using a placebo during the tests? Select all that apply. A : Half-life of the medication in the body because knowing they are taking the medication will affect how fast a patient metabolizes the medication. B : Effectiveness of the medication in treating symptoms because knowing they are taking the medication will affect how patients report the effectiveness. C : Rate of insomnia in users of the medication because knowing they are taking the medication will affect how patients report insomnia.
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Previous research showed that 15% percent of teenagers between the ages of 13 and 17 smoke. A study was conducted to examine the current proportion of US teenagers between the ages of 13 and 17 who smoke. A survey asked a random sample of 785 teenagers between the ages of 13 to 17 if they smoke. 71 of the surveyed teenagers responded that they smoke. The information above is for the question below.
Air pollutants common in U.S. cities include fine particulate matter (PM) and ozone (O3). PM is measured as “inhalable” particles 10 micrometers in diameter or “fine inhalable” particles 2.5 micrometers in diameter. Suppose that studies show, for a particular region, that cities exceed PM2.5 standards 20% of the time and exceed ozone standards 10% of the time. Assume that PM2.5 and ozone measurements are statistically independent. A) Determine the probability that a city, selected at random, exceeds one of the standards. B) If a city exceeds the standards, what is the probability that it exceeds only the PM2.5 standard?
An important tool in archeological research is radiocarbon dating, developed by the American chemist Willard F. Libby.3 This is a means of determining the age of certain wood and plant remains, and hence of animal or human bones or artifacts found buried at the same levels. Radiocarbon dating is based on the fact that some wood or plant remains contain residual amounts of carbon-14, a radioactive isotope of carbon. This isotope is accumulated during the lifetime of the plant and begins to decay at its death. Since the half-life of carbon-14 is long (approximately 5730 years),4 measurable amounts of carbon-14 remain after many thousands of years. If even a tiny fraction of the original amount of carbon-14 is still present, then by appropriate laboratory measurements the proportion of the original amount of carbon-14 that remains can be accurately determined. In other words, if Q(t) is the amount of carbon-14 at time t and Q0 is the original amount, then the ratio Q(t)/Q0 can be…
Part d
A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there 150 mg. of the materials present and after 2 years it is observed that 10% of the original mass has decayed. What is the time necessary for the 25% of the original mass to have decayed? O 15 years O 22 years O 28 years O 5 years
In the period of 2010 – 2020 in the United States 1/3 of patients 55 years old or older had a seasonal flu vaccine. The risk of death for a flu-vaccinated person 55 years or older in the following 10 months is 0.6 deaths per 1,000 flu-vaccinated persons 55 years old or older. The risk of death for a non-vaccinated 55 year old or older person in the same 10 month period is 5 deaths per 1,000. Given these numbers, what is the probability that a person 55 years or older in the United States will survive 10 months into that year's flu season?

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