An emergency field hospital was built in theremaining piece of government-owned land. Giventhat if twenty one (21) tents are built, the averagenumber of COVID cases per tent will be eight (8),and the average number of cases increases by two(2) per tent for each additional tent in the samearea due to overcrowding. Determine the rate atwhich the total average number of COVID caseschanges when there are fifteen (15) tents and thenumber of tents increases by one (1) per day.Please take note of the following requirements:Make sure to declare the variable to be usedaccurately. There is no need to draw an illustrationfor the given problem.Write the given information or values from theproblem using correct mathematical symbols.For the detailed solution, please do remember thatyou need to supply transition statements (in words)as you explain the steps in solving a related ratesproblem.Please make sure that your working equation iscorrect before you differentiate and substitute thegiven values.

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Answered: An emergency field hospital was built…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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dolve all parts within 30 minutes.
An engineer believes that by employing robots instead of humans for certain jobs in the manufacturing of USB sticks, the average number of faults may be reduced. The average number of bad drives per 1000 people is 18. State the alternative hypothesis.
Three different corrosion-resistant coatings are being considered for use on iron pipes. Ten pieces of pipe are marked off in six equal segments. For each pipe, two segments received coating A, two received coating B, and the remaining two received coating C. The pipes were placed in a corrosive environment for a period of time; then the depth of the deepest pit (in mm) caused by corrosion was measured for each segment on each pipe. The effect of interest is the coating; the pipe is a blocking factor, and there were two replications on each pipe. The following sums of squares were calculated: sum of squares for blocks = 11.2, sum of squares for treatments = 4.8, sum of squares for interactions = 18.4, total sum of squares = 44.7. a) Construct an ANOVA table. You may give ranges for the P-values. b) Are the assumptions for a randomized complete block design satisfied? Explain. c) Does the ANOVA table provide evidence that mean pit depth differs among coatings? Explain.
The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table. Tensile Strength Outside Diameter Amount of Molybdenum Place (PSI ) Y (mm) X1 (Units) X2 A 11 0.3 6 B 9 0.2 5 C 16 0.4 8 D 12 0.3 7 Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2. a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum? b) Interpret the value of b1 in the equation.
A campus deli serves 300 customers over a busy lunch period from 11:30 to 1:30pm. A quick count of the number of customers waiting in line and being served by the deli staff shows that an average of 15 customers are in the process of waiting at any point in time. What is the average amount of time that a customer spends in the deli process during this busy lunch period?
3. During a heavy rainstorm, a city in Florida received 12 nches of rain 25 hours. What is the appronimate rainfall rate in inches per hour?
The highway department wants to estimate the proportion of vehicles on a Toll road at KM 25 between midnight and 5:00 A.M. The department head wanted to see how many 18-wheel tractor trailers passed along the road. These estimates will be used to determine road improvement and construction considerations and in road patrol planning. The department head asked researchers to calculate the estimated vehicles at different locations on the inter-island road over the past 7 days. Of the 3,481 vehicles counted, 927 were 18 wheelers. However, out of a total of 927, there were 74 who had accidents, so the sample was calculated based on the results of reducing the number of accidents. Determine the point estimate for the proportion of vehicles traveling on KM 25 during this time period which are 18 wheelers! (Assume the confidence level is 99%). What is the benefit of estimating the estimated value in this case (analyze the answers you have obtained)?
The following data are given for a biogas digester suitable for the output of six cows. The volume of digester is 6.6 m³, the volume of gas holder is 3.1 m and the retention time is 29 days. Find the height of gas holder height of gas holder =, cm
A local micro-brewery dispenses its various non-alcoholic and alcoholic products into 473 millilitre (mL)glasses - the amount of a pint. Not all the micro-brewery’s servers are consistent when filling “one pint”glasses with product. The amount of product filled in 473 ml glasses (there is a line on each glass indicatingwhen to stop filling) various from one server to the next. This server-to-server variation of the amount ofproduct dispensed can be modeled by the Normal probability model with a mean of 471 mL and a standarddeviation of 1.5 mL.(a) You have ordered a “pint” of something at this micro-brewery. Compute the probability that you aregiven between 470 mL and 472 mL.(b) Compute the 90th percentile, x90. Then, interpret its meaning in the context of these data.(c) An “overfill” occurs when the server has provided you with more than 473 mL of product. Computethe chance that the glass of product received in part (a) was “overfilled”?(d) You randomly pick n = 30 “pints”. Compute…
The highway department wants to estimate the proportion of vehicles on a Highway at KM 25 between midnight and 5:00 A.M. The head of the department wants to see how many 18-wheel tractor trailers pass on the road. These estimates will be used to determine highway repairs and construction considerations and in highway patrol planning. The department chief asked investigators to calculate estimates of vehicles at different locations on inter-island roads over the past 7 days. From 3,481 vehicles counted there are 927 are 18-wheel drive. However, out of the total 927, there were 51 vehicles that had accidents so that the sample was calculated based on the results of a reduction in the number of accidents. Specify an approximate point for the proportion of vehicles performingtravel on KM 25 during this time period which is an 18-wheeled vehicle!(Assume the confidence level is 99%). What are the benefits of estimating value estimates in this case (analysis of the answers you have obtained)?
A state fisheries commission wants to estimate the number of bass caught in a givenlake during a season in order to restock the lake with the appropriate number ofyoung fish. The commission has information on the seasonal catch (CATCH) inthousands of bass per square mile; the size of the lake in square miles (SIZE); thenumber of lakeshore residences per square mile (RESIDENCE); the number of livingplaces for bass (i.e. weed beds, sunken trees, drop offs etc.) (STRUCTURE) andACCESS a dummy variable equal to 1 if the lake has public access and 0 if not. What do you think are the expected signs of the regression coefficients?Justify your choice. Using R-studio, estimate the multiple linear regression model. ALL input codes and output tables should be provided.(b) Is the overall regression equation statistically significant at the 1% level?Justify your answer. Ensure that you state the null hypothesis(es) and thedecision rule in your analysis.(c) Find and interpret a 95% confidence…
Radon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered “acceptable” Radon levels in a house vary from week to week. In one house, a sample of 6 weeks had the following readings for radon level (in pCi/L): 1.9 2.8 3.9 3.9 4.2 5.7 Find the variance and standard deviation (definitional formula). Show your work using a table.

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