The mean surface temperature
of an Earth-like planet can be approximated based on its distance from its primary star d (in km), the radius of the star r (in km), and the temperature of the star
by the following formula.
For Exercises 117–118, use the model to find
Suppose the Sun has a mean surface temperature of
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COLLEGE ALGEBRA
- A car traveling along a straight road is clocked at a number of points. The data from the observations are given in the following table, where the time is in seconds, the distance is in feet. Use appropriate 3-point formula and data to approximate the speed at time t=0, 3, 5, and 13. Time Distance 3 225 5 383 8 623 10 742 13 993arrow_forwardFrom z= 0 to z = 1.57arrow_forwardDetermine the two values of z such that the middle 12% of the data lie between the two z-valuesRound the solutions to two decimal places , as z-values are traditionally rounded . The middle 12 % of the data lie between z= and z=arrow_forward
- Cell Phones Using the CTIA Wireless Survey for1985–2009, the number of U.S. cell phone subscribers (in millions) can be modeled byy = 0.632x2 - 2.651x + 1.209where x is the number of years after 1985.a. Graphically find when the number of U.S.subscribers was 301,617,000.b. When does the model estimate that the number ofU.S. subscribers would reach 359,515,000?c. What does the answer to (b) tell about this model?arrow_forwardAnswer the problems completely. Round off your answers up to four decimal places, with correct units and box or encircle them.arrow_forwardUse the following information to answer the next nine exercises: The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976–1977 through 2004–2005. μ = 1000 FTES median = 1,014 FTES σ = 474 FTES first quartile = 528.5 FTES third quartile = 1,447.5 FTES n = 29 years1. What percent of the FTES were from 528.5 to 1447.5? How do you know? 2. How many standard deviations away from the mean is the median?arrow_forward
- A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5–10), the middle school (ages 11–13), and the high school (ages 14–18). A histogram summarizes their findings: Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4. Which of the following data sets is represented in the histogram? A. {3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4} B. {5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18} C. {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} D. {3, 5, 10, 11, 13, 7, 18, 14, 4}arrow_forwardThe geoemetric mean of 2, 4 & 8.arrow_forwardSubject: statisticsarrow_forward
- Complete the following worksheet and then use it to calculate the coefficient of determination. (ŷ; - y)² (Yi - y)² 8.618 12.721 8.618 20.854 3.903 6.588 3.903 9.404 1.032 16.538 1.032 6.588 0.003 0.004 0.003 2.054 0.818 5.921 0.818 0.871 7.977 11.788 7.977 5.921 22.509 24.338 22.509 29.521 23.577 0.321 Ti Yi ŷ 50 20 19.369 50 21 19.369 55 19 18.409 55 19.5 18.409 60 20.5 17.449 60 19 17.449 65 16.5 16.489 8 65 15 16.489 9 70 14 15.529 10 70 15.5 15.529 11 80 13 13.609 12 80 14 13.609 13 90 11.5 11.689 14 90 11 11.689 15 40 17 21.289 i 1 2 3 4 5 6 7 The coefficient of determination (²) is -0.46 -0.02 Total What is the price elasticity of demand at a price of 50 cents? 0.03 113.297 -0.51 153.432arrow_forwardFind the value of c if, P(Z < c) = 0.25 a. -0.67 b. -0.0987 c. 0.67 d. 0.0987arrow_forwardaylor Swift wants to know the proportion of her fans who listened to her new single ME! within the first hour of it being released. In order to estimate this, she takes a sample of 150 of her fans and asks them if they listened to the song in this time period. Of the 150 fans, 135 of them (90%) responded that they did listen to the song during this time period. What is the parameter and what is its value? a. The parameter is the proportion of the 150 sampled Taylor Swift fans who listened to ME! within the first hour after it released, which is 135. b. The parameter is the group of Taylor Swift fans who were surveyed, which is 150. c. The parameter is the proportion of all Taylor Swift fans who listened to ME! within the first hour after it released, which is unknown. d. The parameter is the proportion of all Taylor Swift fans who listened to ME! within the first hour after it released, which is 0.9. e. The parameter is the…arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage