During a clinical trial, an experimental medication is administered to several patients, and theconcentration of the drug in the patients' bloodstreams are measured.It is found that the bloodstream concentration, C (in µg/mL), can be modeled by C'(x):is the number of hours after the dose is taken.Additionally, 92 hours after treatment, no trace of the drug could be found in the patients' systems.A) What is the expected concentration of the medication in a patient's bloodstream 10 hours afteradministration? (Round your answer to at least 3 decimal places.)µg/mLB) What is the domain of the function C(x)?16xx² + 4C) What is a realistic domain of C'(x) in the context of this problem?=-where

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Answered: During a clinical trial, an…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
What is the y -intercept on the graph of the logistic model given in the previous exercise?
An investigation was carried out to study the relationship between speed (ft/sec) and stride rate (number of steps taken/sec) among female marathon runners. Resulting summary quantities includedn = 11, E(speed) = 205.5, E(speed)2 = 3884.08, E(rate) = 35.15, E(rate)2 = 112.691, and E(speed)(rate) = 660.136. (a) Calculate the equation of the least squares line that you would use to predict stride rate from speed. (Round all numerical values to four decimal places.) (b) Calculate the equation of the least squares line that you would use to predict speed from stride rate. (Round all numerical values to four decimal places.) (c) Calculate the coefficient of determination for the regression of stride rate on speed of part (a) and for the regression of speed on stride rate of part (b). (Round your answers to three decimal places.) for part (a) for part (b)
A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.
A certain chemical pollutant in the Pasig River has been constant for several years with mean u = 34 ppm (parts per million). A group of industry representatives claim that their waste management programs have lowered this average significantly.
A worker with a weight of 65 kg and a body surface area of 1.74 , performs physical work activities in several work environments as shown in the following table. The work activities of these workers require energy and a measured metabolic rate of 400 W/m2. During their work activities, the worker wears a coverall made of polyolefin and wears a headgear (1) Calculate the average WBGT of the work environment. (2) Perform an analysis related to the heat stress experienced by the worker, if the worker performs his work activities for 75% of his total working time and the rest is rest, (note: use TLV from ACGIH and ISO 7243)
"Space Mountain", a classic attraction at Disneyland Park, attracts many tourists to take a ride. Each ride can take tourist at a rate of 5 persons/min. The park is opened at 9:00 AM. Based on daily observations, it is found that the tourist arrival rate is 8 persons/min during 9:00 AM - 12:00 PM, 5 persons/min during 12:00 PM - 3:00 PM and 2 persons/min after 3:00 PM. Apply a D/D/1 queuing model to calculate what is the maximum number of tourists waiting in the queue? (Round to the nearest integer and fill in the blank with a number only.) Tourist # 180 D/D/1 360 Time (min) A
Sulfur compounds cause "off‑odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25 micrograms per liter of wine (?g/L ). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given. 30 30 42 35 22 33 31 29 19 23 (a) Assume that the standard deviation of the odor threshold for untrained noses is known to be ?=7?g/Lσ To access the complete data set, click the link for your preferred software format: Do the three simple conditions hold in this case? Make a stemplot and use it to check the shape of the distribution. (b) STATE: What is the average (mean) DMS odor threshold, ?μ , for all untrained people? PLAN: Using the four‑step process, give a 95%95% confidence interval for the mean DMS odor threshold among all students. SOLVE: We have assumed that we…
Doctors developed an intensive intervention program for obese patients with heart disease. Subjects with a BMI of 30 kg/m² or more, with heart disease were assigned to a three-month lifestyle change of diet and exercise. Patients' Left Ventricle Ejection Fraction (LVEF) are measured before and after intervention, A normal heart's ejection fraction may be between 50 and 70 percent, higher numbers indicate a healthier heart. Assume LVEF's are normally distributed. Before After 45 56 52 60 53 63 42 59 47 57 56 67 45 55 62 67 54 57 47 57 41 50 53 63 53 58 49 61 53 61 35 56 38 51 Find the 90% confidence interval for the mean of the differences. Use technology to find the critical value and round answers to at least 4 decimal places. Did the intensive intervention program significantly increase the LVEF measurements? ? Submit Question MacBook Air ** 888 10 FS F7 F2 F3 F4 @ # $ & 2 3 4 6 7 W E T Y D F G H K * CO
A study of the relation between the rate of reproduction in Drosophila (fruit flies) bred in bottles and the density of the mated population found that the number of imagoes(sexually mature adults) per mated female per day (y) can beapproximated bylog y = 1.54 - 0.008x - 0.658 log x,where x is the mean density of the mated population (measuredas flies per bottle) over a 16-day period. Source: Elements ofMathematical Biology.a. Show that the above equation is equivalent toy = 34.711.01862-xx-0.658.b. Using your answer from part a, find the number of imagesper mated female per day when the density isi. 20 flies per bottle;ii. 40 flies per bottle.c. Using your answer from part a, find the rate of change inthe number of imagoes per mated female per day with respect to the density when the density isi. 20 flies per bottle;ii. 40 flies per bottle
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