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- Find the mean hourly cost when the cell phone described above is used for 240 minutes.Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
- 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?Table 4 gives the population of a town (in thousand) from 2000 to 2008. What was the average rate of change of population (a) between 2002 and 2004, and (b) between 2002 and 2006?Can the average rate of change of a function be constant?
- What methods could an environment geographer use to investigate the relationship between acidity level and distance from a pollution source?The population of a small country by year is shown in the table below. Year 1960 1955 284496 Population 367825 The absolute change in the between 1960 and 1965 is: 83329 The percentage change in the population between 1960 and 1965 : 773 • The average rate of change in the population between 1960 and 1965 is: Interpolate to predict the population of the state in 1963. • Interpolate to predict the population of the state in 1968. • Extrapolate to predict the population of the state in 1977. 1965 1970 510844 679471 (Round your answer to o ong decimal place) people per year (Give your exact answer) people people (Round to the nearest whole number) people (Round to the nearest whole number) people (Round to the nearest whole number)The population of a small country by year is shown in the table below. Year 1955 1960 Population 284496 367825 The absolute change in the between 1960 and 1965 is: 83329 The percentage change in the population between 1960 and 1965 is: 77.3 The average rate of change in the population between 1960 and 1965 is Interpolate to predict the population of the state in 1963. • Interpolate to predict the population of the state in 1968. • Extrapolate to predict the population of the state in 1977. 1965 1970 510844 679471 people (Round your answer to ong decimal place.) people per year (Give your exact answer) people (Round to the nearest whole number) people (Round to the nearest whole number) people (Round to the nearest whole number)
- pan's high population density has resulted in a multitude of resource-usage problems. One especially serious difficulty concerns waste removal. An article reported the development of a new compression machine for processing sewage sludge. An important part of the investigation involved relating the moisture content of compressed pellets (y, in %) to the machine's filtration rate (x, in kg-DS/m/hr). The following data was read from a graph in the article. x 125.8 98.1 201.4 147.3 145.9 124.7 112.2 120.2 161.2 178.9 159.5 145.8 75.1 151.5 144.2 125.0 198.8 133.9 y 77.9 76.8 81.5 79.8 78.2 78.3 77.5 77.0 80.1 80.2 79.9 79.0 76.9 78.2 79.5 78.1 81.5 71.0 (a) Determine the slope and intercept of the estimated regression line. (Round your answers to 5 decimal places, if needed.)slope: intercept: (b) Does there appear to be a useful linear relationship? Carry out a test using the ANOVA approach and a significance level of 0.05. State the appropriate null and alternative hypotheses.…In a study to determine the relationship between ambient outdoor temperature and the rate of evaporation of water from soil, measurements of average daytime temperature in °C and evaporation in mm/day were taken for 40 days. The results are shown in the following table. Temp. Evap. Temp. Evap. Temp. Evap. Temp. Evap. 11.8 2.4 11.8 3.8 18.6 3.5 14.0 1.1 21.5 4.4 24.2 5.0 25.4 5.5 13.6 3.5 16.5 5.0 15.8 2.6 22.1 4.8 25.4 5.1 23.6 4.1 26.8 8.0 25.4 4.8 17.7 2.0 24.8 24.7 24.3 19.1 6.0 5.4 22.6 3.2 5.7 21.6 5.9 26.2 4.2 24.4 5.1 4.7 31.0 4.8 14.2 4.4 15.8 3.3 25.8 5.8 3.0 7.1 18.9 14.1 2.2 22.3 4.9 28.3 5.8 24.2 30.3 5.7 23.2 7.4 29.8 7.8 19.1 1.6 15.2 1.2 19.7 3.3 26.5 5.1 Estimate the parameters (Bo = y-intercept and ß1 = slope) of the least square line for predicting evaporation (y) from temperature (x). b. Compute the 95% confidence intervals for ßo and ß1. Predict the evaporation rate when the temperature is 20°C. а. с.This is a chart with Temperature Anomalies and Time, what does it indicate about global warming if y = 0.0018x + 0.7418R² = 0.1015
