Mathematics for Elementary Teachers with Activities Plus MyLab Math -- Title-Specific Access Card Package (5th Edition)
5th Edition
ISBN: 9780134754208
Author: Beckmann, Sybilla
Publisher: PEARSON
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Textbook Question
Chapter 15.1, Problem 1P
Give two examples of a statistical question and contrast each with a related question that is not statistical.
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Problem: The probability density function of a random variable is given by the exponential
distribution
Find the probability that
f(x) = {0.55e-0.55 x 0 < x, O elsewhere}
a. the time to observe a particle is more than 200 microseconds.
b. the time to observe a particle is less than 10 microseconds.
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Chapter 15 Solutions
Mathematics for Elementary Teachers with Activities Plus MyLab Math -- Title-Specific Access Card Package (5th Edition)
Ch. 15.1 - Give two examples of a statistical question and...Ch. 15.1 - A class has a collection of 100 bottle caps and...Ch. 15.1 - Neil, a third-grader, asked 10 of his classmates...Ch. 15.1 - An announcer of a TV program invited viewers to...Ch. 15.1 - There is a bowl containing 300 plastic tiles. Some...Ch. 15.1 - There is a bowl containing 80 green tiles and an...Ch. 15.1 - At a factory that produces doorknobs, 1500...Ch. 15.1 - At a factory that produces switches, 3000 switches...Ch. 15.1 - At a light bulb factory, 1728 light bulbs are...Ch. 15.1 - Carter has a large collection of marbles. He knows...
Ch. 15.1 - The following problem is an example of the...Ch. 15.1 - A group studying violence wants to determine the...Ch. 15.2 - Three third-grade classes are having a contest to...Ch. 15.2 - Find 3 coins of any type (as long as all 3 have a...Ch. 15.2 - Table 15.3 shows women’s 400-meter freestyle...Ch. 15.2 - Using an Internet browser, go to census.gov, the...Ch. 15.2 - Using an Internet browser, go to the webpage of...Ch. 15.2 - Using an Internet browser, go to one of the...Ch. 15.2 - Using an Internet browser, go to one of the...Ch. 15.2 - a. Describe in detail an activity suitable for use...Ch. 15.3 - In your own words, explain why the following two...Ch. 15.3 - Explain why the mean of a list of numbers must...Ch. 15.3 - Explain why the mean of two numbers is exactly...Ch. 15.3 - Shante caught 17 ladybugs every day for 4 days....Ch. 15.3 - John’s average annual income over a 4-year period...Ch. 15.3 - Tracy’s times swimming 200 yards were as follows:...Ch. 15.3 - Explain how you can quickly calculate the mean of...Ch. 15.3 - Explain how you can quickly calculate the mean of...Ch. 15.3 - average on her first 3 math tests was 80. Her...Ch. 15.3 - A teacher gives a 10-point test to a class of 10...Ch. 15.3 - In your own words, describe how to view the mean...Ch. 15.3 - Discuss Jessica’s reasoning about calculating the...Ch. 15.3 - ]The dot plot in Figure 15.21 represents the...Ch. 15.3 - For each of the following situations, decide...Ch. 15.3 - A teacher gives a 10-point test to a class of 9...Ch. 15.3 - A teacher gives a 10-point test to a class of 9...Ch. 15.3 - In Ritzy County, the average annual household...Ch. 15.3 - In county A, the average score on the grade 5 Iowa...Ch. 15.3 - a. The histogram at the top of Figure 15.22 shows...Ch. 15.3 - * Ms. Smith needs to figure her students’ homework...Ch. 15.3 - The average speed of a moving object during a...Ch. 15.4 - What is the difference between scoring in the 90th...Ch. 15.4 - What is the purpose of reporting a student’s...Ch. 15.4 - The three histograms in Figure 15.37 show the...Ch. 15.4 - At a math center in a class, there is a bag filled...Ch. 15.4 - Refer to Figure 15.26 on page 706. a. Refer to the...Ch. 15.4 - Refer to Figure 15.26 on page 706. a. Refer to the...Ch. 15.4 - Refer to Figure 15.26 on page 706. a. Write at...Ch. 15.4 - Use the NAEP long-term trend data about...Ch. 15.4 - Determine the median and interquartile range for...Ch. 15.4 - a. Make a box plot for the data in Figure 15.38....Ch. 15.4 - Determine the medians and interquartile ranges for...Ch. 15.4 - a. Make box plots for the dot plots in Figure...Ch. 15.4 - A fifth-grade class is wondering ¡f girls’ names...Ch. 15.4 - Compute the mean and the MAD for each of the dot...Ch. 15.4 - On a state-wide test graded on a 10-point scale,...Ch. 15.4 - A 400-point test is given to a group of students....
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- Refer to page 138 of the shared file for the numerical methods problem. Use Newton's method to approximate the solution of the given nonlinear system of equations. Start with an initial guess provided in the problem and iterate for at least two steps. Link: [https://drive.google.com/file/d/1RQ2OZk-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Show the Jacobian matrix, iteration formulas, and each step of the computation.arrow_forwardUnknown to a medical researcher, 7 out of 24 patients have a heart problem that will result in death if they receive the test drug. 5 patients are randomly selected to receive the drug and the rest receive a placebo. What is the probability that less than 4 patients will die? Express as a fraction or a decimal number rounded to four decimal places.arrow_forwardRefer to page 128 for the heat equation problem. Solve the one-dimensional heat equation with the given initial and boundary conditions. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Use Fourier series or other appropriate methods.arrow_forward
- Go to page 137 for the real analysis problem. Determine whether the given infinite series converges or diverges using appropriate convergence tests, such as the ratio test, root test, or comparison test. Justify your choice of test and provide clear steps. Link: [https://drive.google.com/file/d/1RQ2OZk-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Explain your reasoning and show all calculations.arrow_forwardRefer to page 132 of the document for the linear algebra problem. Solve the given nonhomogeneous system of equations using Gaussian elimination or matrix inverses, and express the general solution in parametric form. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Justify each step in the elimination process and interpret the solution.arrow_forwardTum to page 134 for the vector calculus problem. Verify Stokes' theorem by calculating the surface integral of the curl of a vector field over the given surface S and comparing it to the line integral of the same field over the boundary curve C. Link: [https://drive.google.com/file/d/1RQ2OZk-LSxpRyej KEMg1t2q15dbpVLCS/view? usp=sharing] Provide all detailed steps for calculating the curl, surface integral, and line integral.arrow_forward
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