EBK MATHEMATICS FOR ELEMENTARY TEACHERS
5th Edition
ISBN: 9780134506609
Author: Beckmann
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter 15.4, Problem 2P
What is the purpose of reporting a student’s percentile on a state or national standardized test? How is this purpose different from reporting the student’s percent correct on a test?
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Each of the following statements is an attempt to show that a given series is convergent or
divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C
(for "correct") if the argument is valid, or enter | (for "incorrect") if any part of the argument is
flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.)
☐ 1. For all n > 1,
seriesΣ In(n)
In(n)
converges.
2, 1,
arctan(n)
the series arctan(n)
n³
☐ 4. For all n > 1,
123
converges.
1
n ln(n)
series In(n) diverges.
2n
.
and the seriesΣconverges, so by the Comparison Test,
2, 3, and the series converges, so by the Comparison Test, the
series-3
1
converges.
☐ 6. For all n > 2, In(n) >, and the series Σ converges, so by the Comparison Test, the
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Chapter 15 Solutions
EBK MATHEMATICS FOR ELEMENTARY TEACHERS
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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- Question 1: If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p = 13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts) Solution: A barometer works based on the principle that the pressure exerted by the liquid column balances atmospheric pressure. The pressure is given by: P = pgh Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the liquid column is inversely proportional to its density: Step 1: Given Data PHg hol=hgx Poil • Density of mercury: PHg = 13.6 g/cm³ Density of oil: Poil = 0.92 g/cm³ • Standard height of mercury at 1.00 atm: hμg Step 2: Compute Height of Oil = 760 mm = 0.760 m 13.6 hoil = 0.760 x 0.92 hoil = 0.760 × 14.78 hoil = 11.23 m Step 3: Compare Heights Since oil is less dense than mercury, the column of oil must be much taller than that of mercury. The factor by which it is taller is: Final…arrow_forwardQuestion 3: A sealed flask at room temperature contains a mixture of neon (Ne) and nitrogen (N2) gases. Ne has a mass of 3.25 g and exerts a pressure of 48.2 torr. . N2 contributes a pressure of 142 torr. • What is the mass of the N2 in the flask? • Atomic mass of Ne = 20.1797 g/mol • Atomic mass of N = 14.0067 g/mol Solution: We will use the Ideal Gas Law to determine the number of moles of each gas and calculate the mass of N2. PV = nRT where: • P = total pressure • V volume of the flask (same for both gases) n = number of moles of gas • R 0.0821 L atm/mol K • T = Room temperature (assume 298 K) Since both gases are in the same flask, their partial pressures correspond to their mole fractions. Step 1: Convert Pressures to Atmospheres 48.2 PNe = 0.0634 atm 760 142 PN2 = = 0.1868 atm 760 Step 2: Determine Moles of Ne nNe = mass molar mass 3.25 nNe 20.1797 nne 0.1611 mol Step 3: Use Partial Pressure Ratio to Find narrow_forward"I have written solutions in text form, but I need experts to rewrite them in handwriting from A to Z, exactly as I have written, without any changes."arrow_forward
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