Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Textbook Question
Chapter 15.3, Problem 19P
a. The histogram at the top of Figure 15.22 shows thedistribution of annual household incomes in SwankCounty. Without calculating the median or averageannual household income in Swank County, make aneducated guess about which one is greater. Describeyour thinking.
Figure 15.22 Annual household Incomes in Swankand Middle Counties.
b. Determine the approximate values of the median andaverage annual household incomes in Swank Countyfrom the histogram at the top of Figure 15.22. Whichis greater, the average or the median? Compare with part(a).
c. The histogram at the bottom of Figure 15.22 shows the distribution of annual household incomes in Middle County. Without calculating the median or average annual household income in Middle County, make an educated guess about which one is greater. Describe your thinking.
d. Determine the approximate values of the median and average annual household income in Middle County from the histogram at the bottom of Figure 15.22. Which is greater, the average or the median?
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5. (a) State the Residue Theorem. Your answer should include all the conditions required
for the theorem to hold.
(4 marks)
(b) Let y be the square contour with vertices at -3, -3i, 3 and 3i, described in the
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L
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ཙ
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da.
(11 marks)
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for L(y).
(1 mark)
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contour. Suppose there exists a finite real number M such that |f(z)| < M for
all z in the image of y. Prove that
<
||, f(z)dz| ≤ ML(y).
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Chapter 15 Solutions
Mathematics for Elementary Teachers with Activities (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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