Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)

5th Edition

ISBN: 9780137442812

Author: Sybilla Beckmann

Publisher: PEARSON+

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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which…

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Textbook Question

Chapter 14.4, Problem 1P

a. Draw a ray with endpoint A. Use a straighedge and compass to carefully construct a 45° angle to your ray at A. Briefly describe your method. and explain Why it makes sense. '
b. Draw a ray with endpoint B. Use a straightedge and compass to carefully construct a 22.5° angle to your ray at B. Briefly describe your method, and explain why it makes sense. (Hint: Notice that 22.5 is halt of 45.)

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Chapter 14.3, Problem 15P

Chapter 14.4, Problem 2P

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iid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²

2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and the standard normal CDF Fz(·).

3. We'd like to know the first time when the population reaches 7000 people. First, graph the function from part (a) on your calculator or Desmos. In the same window, graph the line y = 7000. Notice that you will need to adjust your window so that you can see values as big as 7000! Investigate the intersection of the two graphs. (This video shows you how to find the intersection on your calculator, or in Desmos just hover the cursor over the point.) At what value t> 0 does the line intersect with your exponential function? Round your answer to two decimal places. (You don't need to show work for this part.) (2 points)

Chapter 14 Solutions

Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)

Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - Prob. 14P Ch. 14.1 - On a piece of paper, draw a point Q and a separate...Ch. 14.1 - On a piece of paper, draw a point P and a separate...Ch. 14.1 - For each of the following transformations,...Ch. 14.1 - For each of the following transformations,...Ch. 14.1 - Describe what a reflection across the diagonal...Ch. 14.1 - Describe what a 90° counterclockwise rotation...Ch. 14.1 - Describe what a reflection across the diagonal...Ch. 14.1 - investigate the following questions, either with...Ch. 14.1 - Investigate the following questions, either with...Ch. 14.1 - Investigate the questions that follow, either with...Ch. 14.2 - Find examples of symmetrical designs from a...Ch. 14.2 - Determine all the symmetries of Design 1 and...Ch. 14.2 - Prob. 3P Ch. 14.2 - Prob. 4P Ch. 14.2 - Prob. 5P Ch. 14.2 - Determthe at! the symmetries of Destgn 9 and...Ch. 14.2 - Prob. 7P Ch. 14.2 - a. Determine all the symmetries of a square....Ch. 14.2 - Compare translation and translation symmetry ....Ch. 14.2 - Prob. 10P Ch. 14.2 - Comapare (mathematical) reflection an reflection...Ch. 14.2 - Prob. 12P Ch. 14.2 - Prob. 13P Ch. 14.2 - Prob. 14P Ch. 14.2 - Prob. 15P Ch. 14.2 - Prob. 16P Ch. 14.3 - Suppose that Ada, Bada, and Cada are three cities...Ch. 14.3 - Write a paragraph in which you discuss. In your...Ch. 14.3 - Is there a side side side side congruence...Ch. 14.3 - Is there an angle-angle-angle congruence criterion...Ch. 14.3 - Give your own example to explain why there is not...Ch. 14.3 - Prob. 7P Ch. 14.3 - See Flour. 14.46 . We are given that sides DG and...Ch. 14.3 - See Figure 14.47 . Given that QR and TR are the...Ch. 14.3 - See the quadrilateral in Figure 14.48 . Given that...Ch. 14.3 - This problem continues the Investigation of CIass...Ch. 14.3 - Prob. 12P Ch. 14.3 - Ann and Kelly are standing on a liver bank,...Ch. 14.3 - Prob. 14P Ch. 14.3 - Here is an old-fashioned way to make a rectangular...Ch. 14.4 - a. Draw a ray with endpoint A. Use a straighedge...Ch. 14.4 - a. On a blank piece of paper, draw a ray with...Ch. 14.4 - a. Draw a rhombus that is naturally associated...Ch. 14.4 - On a piece of paper, draw a point P and a separate...Ch. 14.4 - On a piece of paper, draw a point Q and a separate...Ch. 14.4 - On a piece of paper, draw a line n and a point R...Ch. 14.4 - Use a straightedge and compass (but not a...Ch. 14.4 - Prob. 8P Ch. 14.4 - Prob. 9P Ch. 14.4 - Describe how to use a compass to construct the...Ch. 14.4 - a. Use a compass to draw a pattern of circles like...Ch. 14.4 - Prob. 12P Ch. 14.4 - Prob. 13P Ch. 14.4 - Prob. 14P Ch. 14.5 - Using your own examples, discuss the mathematical...Ch. 14.5 - Frank’s dog, Fido, Is 16 Inches tall and 30 inches...Ch. 14.5 - Tyler’s Flag Problem: Tyler has designed his own...Ch. 14.5 - Jasmine’s Flag Problem: Jasmine has designed her...Ch. 14.5 - Kelsey wants to make a scale drawing of herself...Ch. 14.5 - A painting that is 4 feet 3 inches by 6 feet 4...Ch. 14.5 - Write two problems about similar shapes or...Ch. 14.5 - Prob. 8P Ch. 14.5 - An art museum owns a painting that it would like...Ch. 14.5 - Cameras that use film produce a negative, which Is...Ch. 14.5 - If the map in Flgure 14.65 has a scale such that 1...Ch. 14.5 - Sue has a rectangular garden. If she makes her...Ch. 14.6 - a. If two shapes are congruent, are they also...Ch. 14.6 - Is there an angIe-angle-angle-angle similarity...Ch. 14.6 - Prob. 3P Ch. 14.6 - After applying a dilation centered at O, the...Ch. 14.6 - Ms. Winstead’s class went outside on a sunny day...Ch. 14.6 - A Thumb Sighting Problem: Suppose you are looking...Ch. 14.6 - Explain and draw a picture to show how you could...Ch. 14.6 - Suppose you have a TV whose screen is 36 inches...Ch. 14.6 - Prob. 9P Ch. 14.6 - A city has a large cone-shaped Christmas tree that...Ch. 14.6 - Prob. 11P Ch. 14.6 - Prob. 12P Ch. 14.6 - Prob. 13P Ch. 14.6 - Prob. 14P Ch. 14.6 - Prob. 15P Ch. 14.7 - In triangle ADE shown In Flguro 14.92 , the point...Ch. 14.7 - A scale model is constructed for a domed baseball...Ch. 14.7 - Og, a giant mentioned in the Bible, might have...Ch. 14.7 - An artist plans to make a Iarge sculpture of a...Ch. 14.7 - According to one description, King Kong was 19...Ch. 14.7 - If you know the volume of an object in cubic...Ch. 14.7 - Suppose that a gasoline-powered engine has a gas...Ch. 14.7 - A cup has a circular opening and a circular base....

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