For males born in a certain country in the year 1991, their life expectancy was 66.4 years. For males born in the same country in the year 2000, their life expectancy hadrisen to 69.1 years. Let E represent the life expectancy in year t and let t represent the number of years since 1991.AnswerThe linear function E(t) that fits the data is E(t) =The life expectancy of males in the year 2005 isKeypadKeyboard Shortcutsyears.

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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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The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. grams55606570758085 Vitamin Ccontent in mg11.614.115.918.920.322.825.5 A) Find the regression equation: y= x+Round your answers to 3 decimal placesB) Answer the following questions using your un-rounded regression equation. If we test 115 grams of raspberries what is the expected Vitamin C content? mg(round to the nearest tenth)
How do I prove the following statements: (a) For all a, b, c ∈ Z, if a < b, then a + c < b + c.(b) For all integers a, b, if 0 < a and a < b, then a^2<b^2(c) 0 < 1 Using these rules: ● (O1) If a ∈ Z, then exactly one of the following is true: 0 < a, a = 0, 0 > a. ● (O2) For all a, b ∈ Z, if 0 < a and 0 < b, then 0 < a + b. ● (O3) For all a, b ∈ Z, if 0 < a and 0 < b, then 0 < a ⋅ b. ● (O4) for all a, b ∈ Z, a < b exactly when 0 < b − a.
A sporting goods company sold 830 soccer balls in 2014. Since then, they have sold 10 fewer soccer balls each year. Write a linear function for N t( ), the number of soccer balls sold t years since 2014.
In 2000,53 % of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.1 % per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents,Upper P left parenthesis x right parenthesis comma who regularly used the news outlet x years after 2000.
Tom is driving to Seattle. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Tom has 54 miles to his destination after 49 minutes of driving, and he has 33.2 miles to his destination after 75 minutes of driving. How many miles will he have to his destination after 91 minutes of driving?
The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is (almost) inversely proportional to gas mileage; higher gas mileage means lower fuel cost and vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is purchased, it is easy to calculate gas mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr. Hebert's 2015 Jeep Wrangler Unlimited. 12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 e. Does this data show any skew or symmetry? A. Left - Skewed B. Right - Skewed C. Symmetrical
The follow table shows total dollar sales (in thousands) for a local retailer for various years. Year 2019 2020 2021 2022 2023 Sales ($) 16 21 26 31 36 a) What was the dollar amount of sales for 2022? $ b) By how much did sales increase each year? $ c) Find a linear function S(x) that models the above data, where x is the number of years after 2018 (so that the year 2019 corresponds to x = 1, the year 2020 corresponds to x = 2, and so on) and S(x) is the dollar amount of sales in thousands. S(x) = X + d) Use S(x) to predict sales in 2025. $ If needed, round answer to 5 decimal plates. Enter DNE for Does Not Exist, oo for Infinity Question Help: Message instructor Submit Question thousand thousand thousand
3 days after picking apples, a family had 100 apples left. After 6 days, 76 apples were left. Assuming a linear function, write an equation in the form a(t) = mt + b that shows the number of apples, a(t), left t days after picking them. Be sure to Include "a(t) =" in your answer.
the operating expesnes of amazon increased from 3.6 billion in 2008 to 16.3 billion in 2012. use the information to find a linear model for amazons operating expesne E as a function of time t in years since 2010
Your starting salary is $40000 and it increased by $10675 over the next seven years. Let t be years and s your salary, and your salary is a linear function of time. Find a formula for your salary in time years.
The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is (almost) inversely proportional to gas mileage; higher gas mileage means lower fuel cost and vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is purchased, it is easy to calculate gas mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr. Hebert's 2015 Jeep Wrangler Unlimited. 12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 f. Construct a 95% confidence interval to estimate the average fuel economy of the jeep. enter your response here≤μ≤enter your response here (Round your answers to 2 decimal places.)
As part of a study at a large university, data were collected on n = 224 freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): X 1= average high school grade in mathematics (HSM) X 2 = average high school grade in science (HSS) X 3 = average high school grade in English (HSE) X 4 = SAT mathematics score (SATM) x 5 = SAT verbal score (SATV) A first-order model was fit to the data with the following results: SOURCE DF MS F VALUE PROB>F MODEL 28.64 5.73 11.69 0001 ERROR 218 106 82 0.49 TOTAL 223 135.46 ROOT MSE DEP MEAN 0.700 R-SQUARE 0.211 4.635 ADJ R-SQ 0.193 PARAMETER STANDARD T FOR O VARIABLE ESTIMATE ERROR PARAMETER -0 PROB> ITI INTERCEPT 2.327 0.039 5.817 0.0001 0.0003 XI HSM) X2 (HSS) X3 (HSE) X4 (SATM) X5 (SATV) 0.146 0.037 3.718 a.036 0.038 0.950 0.3432…

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