Pathways to Math Literacy (Loose Leaf)
1st Edition
ISBN: 9781259218859
Author: David Sobecki Professor, Brian A. Mercer
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 4.10, Problem 13A
One of the best reasons for understanding exponential growth is that it will help you plan for your financial future. Let’s dream a little: suppose that you win $100,000 in a lottery. Sure, you could blow it on silly stuff like food and shelter, but instead you choose to invest it and let it grow for 20 years. Smart! In 20 years, you look back to analyze the growth of your investment, and you find the values in the next table.
| Years from now (x) | Value (y) |
|---|---|
| 0 | $100,000 |
| 5 | $133,775 |
| 7 | $150,440 |
| 13 | $212,055 |
| 20 | $324,410 |
Graph the equation with a graphing calculator and use the graph to estimate how long it would take for the investment to grow to $500,000.
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An article describes an experiment in which several types of boxes were compared with respect to compression strength (lb). The table below presents the results of a single-factor ANOVA experiment involving I = 4 types of boxes.
Type of Box
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1
655.5 788.3 734.3 721.4 679.1 699.4
713.00
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2
3
789.2 772.5 786.9 686.1 732.1 774.8
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4
535.1 628.7 542.4 559.0 586.9 520.0
698.07
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37.20
39.87
ЛUSE SALT
Suppose that the compression strength observations on the fourth type of box had been 648.1, 741.7, 655.4, 672.0, 699.9, and 633.0 (obtained by adding 113 to each previous X4;). Assuming no change in the remaining observations, carry out an F test with α = 0.05.
State the appropriate hypotheses.
O Ho M₁ =μ₂ = μ3 = μ4
Ha at least two μ's are unequal
Ho: M₁ = μ2 #M3 #μ4
H₂:
all four μ's are equal
O Ho M₁ = M2 = μ3 = μ4
Ha all four μ's are unequal
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O Ho: M1 M2 M3 & M4
Ha at least two μ's are…
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One estimate of the proportion of children with autism in the United States is 1 in 100 (Source: http://www.cbsnews.com/stories/2009/10/05/health/main5363192.shtml). Suppose you are interested in the rate of autism among current school-aged children in Utah. You collect a sample of 400 children between the ages of 5 and 18 and find that three have had a previous diagnosis of an autism disorder. You plan to calculate a 95% confidence interval estimator of the proportion of school-aged children in Utah who have ever had a diagnosis of an autism disorder.
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Chapter 4 Solutions
Pathways to Math Literacy (Loose Leaf)
Ch. 4.1 - After reading the opening paragraph, what do you...Ch. 4.1 - Prob. 1GCh. 4.1 - Prob. 2GCh. 4.1 - Prob. 3GCh. 4.1 - Prob. 4GCh. 4.1 - Prob. 5GCh. 4.1 - Prob. 6GCh. 4.1 - Prob. 1CCh. 4.1 - Prob. 2CCh. 4.1 - Prob. 3C
Ch. 4.1 - Prob. 4CCh. 4.1 - Prob. 5CCh. 4.1 - This phenomenon is so common, in fact, that data...Ch. 4.1 - Find the standard deviation for Ji-Mins golf...Ch. 4.1 - Discuss how comparing the two standard deviations...Ch. 4.1 - A standard package of Oreos is supposed to contain...Ch. 4.1 - A standard package of Oreos is supposed to contain...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - Prob. 1RCh. 4.1 - Prob. 2RCh. 4.1 - Prob. 3RCh. 4.1 - Prob. 4RCh. 4.1 - Prob. 1ACh. 4.1 - Prob. 2ACh. 4.1 - Prob. 3ACh. 4.1 - In a group of 500 women, how many would you expect...Ch. 4.1 - Prob. 5ACh. 4.1 - Prob. 6ACh. 4.2 - Prob. 0LOCh. 4.2 - Prob. 1CCh. 4.2 - Prob. 2CCh. 4.2 - Prob. 3CCh. 4.2 - Prob. 4CCh. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - Prob. 5CACh. 4.2 - Suppose that we know that the distance between...Ch. 4.2 - How does the distance between points P and Q...Ch. 4.2 - The lower illustration also shows points P, Q, M,...Ch. 4.2 - Based on the scale provided on the two-dimensional...Ch. 4.2 - Illustrate the grade of each trail by drawing a...Ch. 4.2 - Use the Pythagorean theorem to estimate the true...Ch. 4.2 - Prob. 7GCh. 4.2 - How far would you actually drive in covering that...Ch. 4.2 - Prob. 9GCh. 4.2 - Prob. 11GCh. 4.2 - What does the Pythagorean theorem say? When can...Ch. 4.2 - Why cant you just find the distance between two...Ch. 4.2 - Prob. 3RCh. 4.2 - Estimate the elevation of point A.Ch. 4.2 - Prob. 2ACh. 4.2 - How far would you walk along the trail from point...Ch. 4.2 - Prob. 4ACh. 4.3 - Prob. 0LOCh. 4.3 - The amount of profit that a company makes when...Ch. 4.3 - If he decides to make the play area 5 feet wide,...Ch. 4.3 - Prob. 2GCh. 4.3 - Prob. 3GCh. 4.3 - Based on the graph, what width makes the area as...Ch. 4.3 - Prob. 5GCh. 4.3 - Prob. 6GCh. 4.3 - Prob. 7GCh. 4.3 - Prob. 8GCh. 4.3 - Prob. 9GCh. 4.3 - Prob. 10GCh. 4.3 - Prob. 11GCh. 4.3 - Prob. 12GCh. 4.3 - Prob. 13GCh. 4.3 - Prob. 14GCh. 4.3 - Prob. 15GCh. 4.3 - Prob. 1TCh. 4.3 - If youre looking at a graph, what are some key...Ch. 4.3 - Prob. 2RCh. 4.3 - Type a short answer to each question. Think of...Ch. 4.3 - Prob. 4RCh. 4.3 - About how high above the ground was the ball when...Ch. 4.3 - How far away from where it was kicked did the ball...Ch. 4.3 - How high did the punt go?Ch. 4.3 - The hang time of a punt is how long its in the air...Ch. 4.3 - After how many seconds was the ball 45 feet above...Ch. 4.3 - Prob. 7ACh. 4.3 - Prob. 8ACh. 4.4 - Prob. 0LOCh. 4.4 - Describe the differences between linear and...Ch. 4.4 - Prob. 2CCh. 4.4 - Prob. 3CCh. 4.4 - Prob. 4CCh. 4.4 - Prob. 5CCh. 4.4 - Prob. 6CCh. 4.4 - Prob. 7CCh. 4.4 - Prob. 8CCh. 4.4 - Prob. 9CCh. 4.4 - Prob. 10CCh. 4.4 - If youre the coffee drinker represented by the...Ch. 4.4 - Find the relative change in caffeine for each...Ch. 4.4 - Complete this important statement about...Ch. 4.4 - Looking at the graph of the caffeine remaining in...Ch. 4.4 - Whats the multiplication factor that youd need to...Ch. 4.4 - Prob. 6GCh. 4.4 - Prob. 7GCh. 4.4 - Prob. 8GCh. 4.4 - Prob. 9GCh. 4.4 - Use either TABLE or TRACE commands on your...Ch. 4.4 - Prob. 11GCh. 4.4 - Compare exponential growth and exponential decay....Ch. 4.4 - What did you learn in this lesson about the value...Ch. 4.4 - Prob. 3RCh. 4.4 - How much money is Joe earning when hes 30?Ch. 4.4 - How much money is he allowing himself to spend...Ch. 4.4 - How much is Joe earning when hes 35? Show a...Ch. 4.4 - How much money is Joe allowing himself to spend...Ch. 4.4 - Carefully explain the meaning of the crossover...Ch. 4.5 - Prob. 0LOCh. 4.5 - Prob. 1GCh. 4.5 - Prob. 2GCh. 4.5 - Prob. 3GCh. 4.5 - Prob. 4GCh. 4.5 - Prob. 5GCh. 4.5 - Prob. 6GCh. 4.5 - Prob. 7GCh. 4.5 - Prob. 8GCh. 4.5 - Prob. 9GCh. 4.5 - Prob. 10GCh. 4.5 - Prob. 11GCh. 4.5 - Prob. 1CCh. 4.5 - Prob. 2CCh. 4.5 - Prob. 3CCh. 4.5 - Prob. 4CCh. 4.5 - Prob. 5CCh. 4.5 - Prob. 6CCh. 4.5 - Prob. 7CCh. 4.5 - Prob. 8CCh. 4.5 - Prob. 9CCh. 4.5 - Prob. 10CCh. 4.5 - Prob. 11CCh. 4.5 - Prob. 12CCh. 4.5 - Prob. 13CCh. 4.5 - Prob. 14CCh. 4.5 - Prob. 15CCh. 4.5 - Prob. 16CCh. 4.5 - Prob. 1RCh. 4.5 - Prob. 2RCh. 4.5 - Prob. 3RCh. 4.5 - Prob. 4RCh. 4.5 - Prob. 1ACh. 4.5 - Prob. 2ACh. 4.5 - Prob. 3ACh. 4.5 - Prob. 4ACh. 4.6 - Prob. 0LOCh. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Prob. 5CCh. 4.6 - Prob. 6CCh. 4.6 - Prob. 7CCh. 4.6 - Prob. 8CCh. 4.6 - Prob. 9CCh. 4.6 - Prob. 10CCh. 4.6 - Prob. 11CCh. 4.6 - Prob. 12CCh. 4.6 - Use Newtons law of universal gravitation to find...Ch. 4.6 - Prob. 14CCh. 4.6 - Prob. 1GCh. 4.6 - Prob. 2GCh. 4.6 - Prob. 3GCh. 4.6 - Prob. 5GCh. 4.6 - Prob. 6GCh. 4.6 - Prob. 7GCh. 4.6 - A fun fact: you can use a microwave oven and a bar...Ch. 4.6 - Prob. 1RCh. 4.6 - Prob. 2RCh. 4.6 - Prob. 3RCh. 4.6 - Prob. 4RCh. 4.6 - Prob. 1ACh. 4.6 - Prob. 2ACh. 4.6 - Prob. 3ACh. 4.6 - Prob. 4ACh. 4.6 - Prob. 5ACh. 4.6 - Prob. 6ACh. 4.6 - Prob. 7ACh. 4.7 - Prob. 0LOCh. 4.7 - Prob. 1GCh. 4.7 - Prob. 2GCh. 4.7 - Prob. 3GCh. 4.7 - Prob. 4GCh. 4.7 - Prob. 5GCh. 4.7 - Prob. 6GCh. 4.7 - Prob. 7GCh. 4.7 - Prob. 8GCh. 4.7 - Prob. 9GCh. 4.7 - Prob. 10GCh. 4.7 - Prob. 11GCh. 4.7 - From years of experience, the owner of a small...Ch. 4.7 - Prob. 13GCh. 4.7 - Prob. 14GCh. 4.7 - Prob. 15GCh. 4.7 - Prob. 16GCh. 4.7 - Prob. 17GCh. 4.7 - Prob. 18GCh. 4.7 - Prob. 19GCh. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - Prob. 5CCh. 4.7 - Prob. 6CCh. 4.7 - Prob. 7CCh. 4.7 - Our next goal is to multiply (x5)by(x2+3x+4). a....Ch. 4.7 - Prob. 9CCh. 4.7 - What is a polynomial? What is meant by the phrase...Ch. 4.7 - Prob. 2RCh. 4.7 - What questions do you have about this lesson?Ch. 4.7 - Prob. 1ACh. 4.7 - Prob. 2ACh. 4.7 - Prob. 3ACh. 4.7 - Prob. 4ACh. 4.7 - Prob. 5ACh. 4.7 - Prob. 6ACh. 4.7 - Prob. 7ACh. 4.7 - Prob. 8ACh. 4.7 - Prob. 9ACh. 4.7 - Prob. 10ACh. 4.8 - Prob. 0LOCh. 4.8 - Perform the multiplication: 57=Ch. 4.8 - Prob. 2GCh. 4.8 - If the volume in the YouTube window is set at half...Ch. 4.8 - If the volume in the YouTube window is set at half...Ch. 4.8 - If the volume in the YouTube window is set all the...Ch. 4.8 - To get the overall volume, we _______ the...Ch. 4.8 - Prob. 7GCh. 4.8 - Prob. 8GCh. 4.8 - Prob. 9GCh. 4.8 - Prob. 10GCh. 4.8 - Prob. 11GCh. 4.8 - Prob. 12GCh. 4.8 - Prob. 1CCh. 4.8 - For the polynomial P(x)=(x1)(x+5), find each...Ch. 4.8 - Use the table and graph provided for...Ch. 4.8 - Prob. 4CCh. 4.8 - Prob. 5CCh. 4.8 - y(x)=(x+5)(x+4)(x2) Zeros: x intercepts:Ch. 4.8 - Prob. 7CCh. 4.8 - Prob. 8CCh. 4.8 - Prob. 9CCh. 4.8 - Prob. 10CCh. 4.8 - Prob. 11CCh. 4.8 - Prob. 12CCh. 4.8 - Prob. 13CCh. 4.8 - Prob. 14CCh. 4.8 - Prob. 15CCh. 4.8 - Prob. 16CCh. 4.8 - Prob. 17CCh. 4.8 - Prob. 18CCh. 4.8 - Prob. 19CCh. 4.8 - If the current yield per tree is 800, and will go...Ch. 4.8 - If the current yield per tree is 800, and will go...Ch. 4.8 - Prob. 22CCh. 4.8 - Prob. 23CCh. 4.8 - Prob. 24CCh. 4.8 - Prob. 1RCh. 4.8 - Prob. 2RCh. 4.8 - Prob. 3RCh. 4.8 - Prob. 1ACh. 4.8 - Prob. 2ACh. 4.8 - Prob. 3ACh. 4.8 - Prob. 4ACh. 4.8 - Prob. 5ACh. 4.8 - Prob. 6ACh. 4.9 - Prob. 0LOCh. 4.9 - Prob. 1CCh. 4.9 - Use the quadratic formula to find the two...Ch. 4.9 - One of the solutions provides the length of the...Ch. 4.9 - What is the significance of the other solution in...Ch. 4.9 - Whats the connection between the solutions of the...Ch. 4.9 - Prob. 6CCh. 4.9 - Prob. 7CCh. 4.9 - Prob. 8CCh. 4.9 - Prob. 9CCh. 4.9 - Prob. 10CCh. 4.9 - Prob. 1GCh. 4.9 - Prob. 2GCh. 4.9 - Prob. 3GCh. 4.9 - Prob. 4GCh. 4.9 - Prob. 5GCh. 4.9 - Prob. 6GCh. 4.9 - Experiment: The Time Needed To Drain a Bottle...Ch. 4.9 - Prob. 8GCh. 4.9 - Experiment: The Time Needed To Drain a Bottle...Ch. 4.9 - What is the quadratic formula used for? Why is...Ch. 4.9 - What types of applied problems can be solved using...Ch. 4.9 - Prob. 3RCh. 4.9 - Use a calculator or spreadsheet to make a table of...Ch. 4.9 - Find the vertex of the parabola using the formula...Ch. 4.9 - Explain what each coordinate of the vertex means.Ch. 4.9 - Find the intercepts for the function.Ch. 4.9 - Explain what each intercept means.Ch. 4.9 - Describe when the ball is headed upward, and when...Ch. 4.9 - Prob. 7ACh. 4.9 - The distance for golf shots is traditionally...Ch. 4.9 - Prob. 9ACh. 4.9 - Prob. 10ACh. 4.9 - Prob. 11ACh. 4.9 - Prob. 12ACh. 4.10 - After reading the opening paragraph, what do you...Ch. 4.10 - Record the data from your experiment in the table....Ch. 4.10 - Use these data to create a scatter plot. Use the...Ch. 4.10 - Using your graphing calculator, find an...Ch. 4.10 - Use your function to approximate the height of the...Ch. 4.10 - Evaluate your equation for x=0. What does your...Ch. 4.10 - What does the variable x represent?Ch. 4.10 - In the equation y=abx that models your data, what...Ch. 4.10 - In the equation y=abx that models your data, what...Ch. 4.10 - Using data from your original table, fill in this...Ch. 4.10 - Use these data to create a second scatter plot.Ch. 4.10 - Based on the scatter plot, what kind of equation...Ch. 4.10 - Use your graphing calculator to find the equation...Ch. 4.10 - Your equation has a variable in it, but also has...Ch. 4.10 - If you were to drop the golf ball from your...Ch. 4.10 - Find the relative change in height from one bounce...Ch. 4.10 - (This one requires some thought, but is the key...Ch. 4.10 - Whats the bounce height as a percentage of the...Ch. 4.10 - Write an expression that calculates the bounce...Ch. 4.10 - Write an equation that describes the bounce height...Ch. 4.10 - Using your answer to Question 17, its possible to...Ch. 4.10 - What do you think would be some sources of error...Ch. 4.10 - Type a short answer to each question. Weve studied...Ch. 4.10 - How could you tell if neither of those types of...Ch. 4.10 - Type a short answer to each question. Take another...Ch. 4.10 - What questions do you have about this lesson?Ch. 4.10 - The equation y=10,000(1.06)x describes the growth...Ch. 4.10 - Prob. 2ACh. 4.10 - The equation y=10,000(1.06)x...Ch. 4.10 - The model in Questions 1-3 is an example of...Ch. 4.10 - The model in Questions 1-3 is an example of...Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - Prob. 7ACh. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...
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