Mathematical Ideas (13th Edition) - Standalone book
13th Edition
ISBN: 9780321977076
Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren
Publisher: PEARSON
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Chapter 9.8, Problem 4E
To determine
The scale factor between the large square and the small square if the original square is made up of one small square, so its size is one.
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Chapter 9 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Ch. 9.1 - Fill in each blank with the correct response. The...Ch. 9.1 - Fill in each blank with the correct response. The...Ch. 9.1 - Fill in each blank with the correct response.
3....Ch. 9.1 - Prob. 4ECh. 9.1 - Decide whether each statement is true or false. A...Ch. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
Ch. 9.1 - Decide whether each statement is true or...Ch. 9.1 - Decide whether each statement is true or false....Ch. 9.1 - Decide whether each statement is true or false....Ch. 9.1 - Decide whether each statement is true or...Ch. 9.1 - Decide whether each statement is true or...Ch. 9.1 - Prob. 16ECh. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Exercises 17-24 name portions of the line shown....Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Match each symbol in Group I with the symbol in...Ch. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Give the measure of the complement of each angle....Ch. 9.1 - Give the measure of the complement of each...Ch. 9.1 - Give the measure of the complement of each...Ch. 9.1 - Give the measure of the complement of each angle....Ch. 9.1 - Give the measure of the complement of each angle....Ch. 9.1 - Give the measure of the complement of each angle....Ch. 9.1 - Give the measure of the supplement of each...Ch. 9.1 - Give the measure of the supplement of each...Ch. 9.1 - Give the measure of the supplement of each angle....Ch. 9.1 - Give the measure of the supplement of each angle....Ch. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Complementary and Supplementary Angles Solve each...Ch. 9.1 - Complementary and Supplementary Angles Solve each...Ch. 9.1 - Complementary and Supplementary Angles Solve each...Ch. 9.1 - Complementary and Supplementary Angles Solve each...Ch. 9.1 - Name all pairs of vertical angles in each...Ch. 9.1 - Name all pairs of vertical angles in each figure.Ch. 9.1 - 59. In Exercise 57, if has a measure of , find...Ch. 9.1 - 60. In Exercise 58, if has a measure of . find...Ch. 9.1 - Find the measure of each marked angle.Ch. 9.1 - Prob. 62ECh. 9.1 - Find the measure of each marked angle.Ch. 9.1 - Prob. 64ECh. 9.1 - Prob. 65ECh. 9.1 - Prob. 66ECh. 9.1 - Find the measure of each marked angle.
67.
Ch. 9.1 - Find the measure of each marked angle.
68.
Ch. 9.1 - In Exercises 69-72, assume that lines m and n are...Ch. 9.1 - Prob. 70ECh. 9.1 - In Exercises 69-72, assume that lines m and n are...Ch. 9.1 - Prob. 72ECh. 9.1 - The sketch shows parallel lines m and n cut by a...Ch. 9.1 - 74. Use the sketch to find the measure of each...Ch. 9.1 - Prob. 75ECh. 9.2 - Fill in each blank with the correct response.
1. A...Ch. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Decide whether each statement is true or false. A...Ch. 9.2 - Decide whether each statement is true or false.
6....Ch. 9.2 - Decide whether each statement is true or false. A...Ch. 9.2 - Decide whether each statement is true or false.
8....Ch. 9.2 - Decide whether each statement is true or false. A...Ch. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Prob. 34ECh. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Classify each triangle as acute, right, or obtuse....Ch. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Find the measure of each angle in triangle ABC.Ch. 9.2 - Prob. 40ECh. 9.2 - Find the measure of each angle in triangle ABC.Ch. 9.2 - Prob. 42ECh. 9.2 - 43. Angle Measures In triangle ABC, angles A and B...Ch. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Using the points, segments, and lines in the...Ch. 9.2 - 50. In the classic 1939 movie The Wizard of , the...Ch. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - 59. Investigate Proposition II of Book I of...Ch. 9.2 - Prob. 60ECh. 9.3 - Prob. 1ECh. 9.3 - In Exercises 1-6, provide a STATEMENTS/REASONS...Ch. 9.3 - In Exercises 1-6, provide a STATEMENTS/REASONS...Ch. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Exercises 7-10 refer to the given figure, which...Ch. 9.3 - Prob. 8ECh. 9.3 - Exercises 7-10 refer to the given figure, which...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Name the corresponding angles and the...Ch. 9.3 - Prob. 14ECh. 9.3 - Name the corresponding angles and the...Ch. 9.3 - Prob. 16ECh. 9.3 - Find all unknown angle measures in each pair of...Ch. 9.3 - Prob. 18ECh. 9.3 - Find all unknown angle measures in each pair of...Ch. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Find the unknown side lengths in each pair of...Ch. 9.3 - Prob. 24ECh. 9.3 - Find the unknown side lengths in each pair of...Ch. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - In each diagram, there are two similar triangles....Ch. 9.3 - Solve each problem. Height of a Tree A tree casts...Ch. 9.3 - Solve each problem. Height of a Tower A forest...Ch. 9.3 - Solve each problem.
37. Lengths of Sides of a...Ch. 9.3 - Prob. 38ECh. 9.3 - Solve each problem. Height of a Building A house...Ch. 9.3 - Solve each problem. Height of the World's Tallest...Ch. 9.3 - Prob. 41ECh. 9.3 - Prob. 42ECh. 9.3 - In Exercises 43-50, a and h represent the two legs...Ch. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Refer to Exercise 50 in Section 9.2. Correct the...Ch. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 - Prob. 67ECh. 9.3 - Prob. 68ECh. 9.3 - Prob. 69ECh. 9.3 - Prob. 70ECh. 9.3 - Prob. 71ECh. 9.3 - Prob. 72ECh. 9.3 - Solve each problem. (You may wish to review...Ch. 9.3 - Prob. 74ECh. 9.3 - Solve each problem. (You may wish to review...Ch. 9.3 - Prob. 76ECh. 9.3 - Prob. 77ECh. 9.3 - Prob. 78ECh. 9.3 - Prob. 79ECh. 9.3 - Prob. 80ECh. 9.3 - Proof of the Pythagorean Theorem by Similar...Ch. 9.3 - Prob. 82ECh. 9.3 - Prob. 83ECh. 9.3 - Prob. 84ECh. 9.3 - Prob. 85ECh. 9.3 - Prob. 86ECh. 9.3 - Prob. 87ECh. 9.3 - Prob. 88ECh. 9.3 - Prob. 89ECh. 9.3 - Prob. 90ECh. 9.3 - Prob. 91ECh. 9.3 - Prob. 92ECh. 9.3 - Prob. 93ECh. 9.3 - Prob. 94ECh. 9.4 - In Exercises 1-5, fill in each blank with the...Ch. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - 6. Perimeter or Area? Decide whether perimeter or...Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 8ECh. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 10ECh. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 12ECh. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 14ECh. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 18ECh. 9.4 - Use the formulas of this section to find the area...Ch. 9.4 - Prob. 20ECh. 9.4 - Solve each problem. Window Side Length A...Ch. 9.4 - Prob. 22ECh. 9.4 - Solve each problem. Dimensions of a Lot A lot is...Ch. 9.4 - Prob. 24ECh. 9.4 - Solve each problem, Radius of a Circular...Ch. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Solve each problem, Search Area A search plane...Ch. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - Prob. 35ECh. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Prob. 39ECh. 9.4 - Prob. 40ECh. 9.4 - Each figure has the perimeter indicated. (Figures...Ch. 9.4 - Prob. 42ECh. 9.4 - Each figure has the perimeter indicated. (Figures...Ch. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Prob. 46ECh. 9.4 - Each figure has the area indicated. Find the value...Ch. 9.4 - Prob. 48ECh. 9.4 - Each circle has the circumference or area...Ch. 9.4 - Prob. 50ECh. 9.4 - Each circle has the circumference or area...Ch. 9.4 - Prob. 52ECh. 9.4 - Work the parts of this exercise in order, and make...Ch. 9.4 - Prob. 54ECh. 9.4 - Prob. 55ECh. 9.4 - Prob. 56ECh. 9.4 - Prob. 57ECh. 9.4 - Prob. 58ECh. 9.4 - Prob. 59ECh. 9.4 - Prob. 60ECh. 9.4 - Prob. 61ECh. 9.4 - Prob. 62ECh. 9.4 - Prob. 63ECh. 9.4 - Prob. 64ECh. 9.4 - Prob. 65ECh. 9.4 - Prob. 66ECh. 9.4 - Prob. 67ECh. 9.4 - Prob. 68ECh. 9.4 - Prob. 69ECh. 9.4 - Prob. 70ECh. 9.4 - Prob. 71ECh. 9.4 - Prob. 72ECh. 9.4 - Prob. 73ECh. 9.4 - Prob. 74ECh. 9.4 - Prob. 75ECh. 9.4 - Prob. 76ECh. 9.4 - Prob. 77ECh. 9.4 - Prob. 78ECh. 9.4 - Area of a Square The area of square PQRS is 1250...Ch. 9.4 - Prob. 80ECh. 9.4 - Prob. 81ECh. 9.4 - Prob. 82ECh. 9.4 - Prob. 83ECh. 9.4 - Prob. 84ECh. 9.4 - 85. Area of a Quadrilateral Find the area of...Ch. 9.4 - Prob. 86ECh. 9.4 - Prob. 87ECh. 9.4 - Prob. 88ECh. 9.5 - Decide whether each statement is true or false. A...Ch. 9.5 - Prob. 2ECh. 9.5 - Decide whether each statement is true or false. A...Ch. 9.5 - Prob. 4ECh. 9.5 - Decide whether each statement is true or false.
5....Ch. 9.5 - Decide whether each statement is true or false. A...Ch. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Prob. 8ECh. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Prob. 12ECh. 9.5 - Find (a) the volume and (b) the surface area of...Ch. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Volumes of Common Objects Find each volume. Use...Ch. 9.5 - Prob. 18ECh. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - Prob. 21ECh. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.5 - Prob. 24ECh. 9.5 - Prob. 25ECh. 9.5 - Volumes of Common Objects Find each volume. Use...Ch. 9.5 - Prob. 27ECh. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - Prob. 30ECh. 9.5 - Prob. 31ECh. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Solve each problem. Irrigation Tank An irrigation...Ch. 9.5 - Prob. 36ECh. 9.5 - Prob. 37ECh. 9.5 - Prob. 38ECh. 9.5 - Prob. 39ECh. 9.5 - Prob. 40ECh. 9.5 - Prob. 41ECh. 9.5 - Prob. 42ECh. 9.5 - Prob. 43ECh. 9.5 - Prob. 44ECh. 9.5 - Prob. 45ECh. 9.5 - Prob. 46ECh. 9.5 - Prob. 47ECh. 9.5 - Prob. 48ECh. 9.5 - Prob. 49ECh. 9.5 - Prob. 50ECh. 9.5 - Exercises 49-58 require some ingenuity, but all...Ch. 9.5 - Prob. 52ECh. 9.5 - Prob. 53ECh. 9.5 - Prob. 54ECh. 9.5 - Prob. 55ECh. 9.5 - Prob. 56ECh. 9.5 - Prob. 57ECh. 9.5 - Prob. 58ECh. 9.5 - Prob. 59ECh. 9.5 - Euler's Formula Many crystals and some viruses are...Ch. 9.5 - Euler's Formula Many crystals and some viruses are...Ch. 9.5 - Prob. 62ECh. 9.5 - Prob. 63ECh. 9.5 - Prob. 64ECh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Prob. 15ECh. 9.6 - Prob. 16ECh. 9.6 - Prob. 17ECh. 9.6 - Prob. 18ECh. 9.6 - Prob. 19ECh. 9.6 - Prob. 20ECh. 9.6 - Prob. 21ECh. 9.6 - Prob. 22ECh. 9.6 - Prob. 23ECh. 9.6 - Prob. 24ECh. 9.6 - Prob. 25ECh. 9.6 - Prob. 26ECh. 9.6 - Prob. 27ECh. 9.6 - Prob. 28ECh. 9.6 - Prob. 29ECh. 9.6 - Prob. 30ECh. 9.6 - Prob. 31ECh. 9.6 - Prob. 32ECh. 9.6 - Prob. 33ECh. 9.6 - Prob. 34ECh. 9.6 - Prob. 35ECh. 9.6 - Prob. 36ECh. 9.6 - Prob. 37ECh. 9.6 - Prob. 38ECh. 9.6 - Prob. 39ECh. 9.6 - Prob. 40ECh. 9.6 - Prob. 41ECh. 9.6 - Prob. 42ECh. 9.6 - Perform the indicated size transformation....Ch. 9.6 - Prob. 44ECh. 9.6 - Prob. 45ECh. 9.6 - Prob. 46ECh. 9.6 - Prob. 47ECh. 9.6 - Prob. 48ECh. 9.6 - Prob. 49ECh. 9.6 - Prob. 50ECh. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Prob. 7ECh. 9.7 - Study the chart below, and use it to respond to...Ch. 9.7 - Prob. 9ECh. 9.7 - Prob. 10ECh. 9.7 - In Exercises 11 and 12, project the given shape...Ch. 9.7 - Prob. 12ECh. 9.7 - Prob. 13ECh. 9.7 - Prob. 14ECh. 9.7 - Prob. 15ECh. 9.7 - Prob. 16ECh. 9.7 - Prob. 17ECh. 9.7 - Prob. 18ECh. 9.7 - Prob. 19ECh. 9.7 - Prob. 20ECh. 9.7 - Prob. 21ECh. 9.7 - Prob. 22ECh. 9.7 - Prob. 23ECh. 9.7 - Prob. 24ECh. 9.7 - Prob. 25ECh. 9.7 - Prob. 26ECh. 9.7 - Prob. 27ECh. 9.7 - Prob. 28ECh. 9.7 - Prob. 29ECh. 9.7 - Prob. 30ECh. 9.7 - Give the genus of each object. a compact discCh. 9.7 - Give the genus of each object. a phonograph recordCh. 9.7 - Prob. 33ECh. 9.7 - Prob. 34ECh. 9.7 - Prob. 35ECh. 9.7 - Prob. 36ECh. 9.7 - Prob. 37ECh. 9.7 - Prob. 38ECh. 9.8 - Exercises 1-25 are taken from an issue of Student...Ch. 9.8 - Prob. 2ECh. 9.8 - Prob. 3ECh. 9.8 - Prob. 4ECh. 9.8 - Prob. 5ECh. 9.8 - Prob. 6ECh. 9.8 - Prob. 7ECh. 9.8 - Prob. 8ECh. 9.8 - Prob. 9ECh. 9.8 - Prob. 10ECh. 9.8 - Prob. 11ECh. 9.8 - Prob. 12ECh. 9.8 - Prob. 13ECh. 9.8 - Prob. 14ECh. 9.8 - Prob. 15ECh. 9.8 - Prob. 16ECh. 9.8 - Prob. 17ECh. 9.8 - Prob. 18ECh. 9.8 - Prob. 19ECh. 9.8 - Prob. 20ECh. 9.8 - Prob. 21ECh. 9.8 - Prob. 22ECh. 9.8 - Prob. 23ECh. 9.8 - Prob. 24ECh. 9.8 - Prob. 25ECh. 9.8 - Prob. 26ECh. 9 - 1. Consider a angle. Answer each of the...Ch. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Explain why a rhombus must be a quadrilateral, but...Ch. 9 - 8. Which one of the statements A-D is false?
A. A...Ch. 9 - Prob. 9TCh. 9 - Identify each of the following curves as simple,...Ch. 9 - Prob. 11TCh. 9 - Prob. 12TCh. 9 - Prob. 13TCh. 9 - Prob. 14TCh. 9 - Prob. 15TCh. 9 - 16. Area of a Shaded Figure What is the area (to...Ch. 9 - Prob. 17TCh. 9 - Prob. 18TCh. 9 - Prob. 19TCh. 9 - Prob. 20TCh. 9 - Prob. 21TCh. 9 - Prob. 22TCh. 9 - Prob. 23TCh. 9 - Prob. 24TCh. 9 - Prob. 25TCh. 9 - Prob. 26TCh. 9 - List several main distinctions between Euclidean...Ch. 9 - Prob. 28TCh. 9 - Prob. 29TCh. 9 - Prob. 30T
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- D and E onlyarrow_forwardThe records of 1492 high school students were examined, and the following information was obtained: 1072 graduates took biology, 679 took geometry, and 271 of those who took geometry did not take biology. How many students took both biology and geometry? How many students took biology but not geometry?arrow_forwardAn undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department has determined that there should be 10% A's given, 30% B's given, 40% C's, 10% D's, and 10% F's given as final grades for the course. For the spring 2021 semester, 500 students took the course and 100 students received A's, 200 students received B's, 100 students received C's, 50 students received D's, and 50 students received F's, so those are my observed frequencies. We want to do a Chi- square Multinomial Goodness of Fit test to see if our grading guidelines match up with what is actually happening. What is the correct number of degrees of freedom for this hypothesis test?arrow_forward
- In 1835, Samuel Morse, a professor of art at New York University, devised a code that could be transmitted over a wire by using an electric current. This was the invention of the telegraph. The code used is called Morse code. It consists of a dot or a dash or a combination of up to 5 dots and/or dashes. For instance the letter "c" is represented by —•—• How many different symbols can be represented using Morse code?arrow_forwardJeff Friedman was a section chief for an electric utility company. After the numbers in one of his reports to the management of the utility didn't add up, he was reassigned to the home economics department. He interviewed 119 people in a suburban shopping center to discover some of their cooking habits. He obtained the results shown to the right. 53 use microwave ovens; 63 use electric ranges; 52 use gas ranges; 23 use microwave ovens and electric ranges; 20 use microwave ovens and gas ranges; 8 use both gas and electric ranges; 2 use all three; 4 uses none of the three. Should he be reassigned one more time? Why or why not? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Yes, he should be reassigned. He says that he interviewed 119 people, but the numbers in his report indicate that he actually interviewed some error, he should be reassigned. people. Since he made B. No he should not be reassigned. He says that he interviewed 119…arrow_forwardSuppose that you read through this year's issues of the New York Times and record each number that appears in a news article-the income of a CEO, the number of cases of wine produced by a winery, the total charitable contribution of a politician during the previous tax year, the age of a celebrity, and so on. Now focus on the leading digit of each number, which could be 1, 2, ..., 8, or 9. Your first thought might be that the leading digit X of a randomly selected number would be equally likely to be one of the nine possibilities (a discrete uniform distribution). However, much empirical evidence as well as some theoretical arguments suggest an alternative probability distribution called Benford's law, given below. x + 1 x = 1, 2, ..., 9 P(x) = P(1st digit is x) = log,o (a) without computing individual probabilities from this formula, show that it specifies a legitimate pmf. x+ : ? v1 for all x = 1, ..., 9, so log,o ? v 0. x + 1 First, Next, check that the probabilities sum to 1. lo910…arrow_forward
- b. As an IT executive, one of the task is to manage the issues of information security. For this reason, the executive need to identify how many username and password that can be generated. Several questions have been asked before any report can be presented. Help this IT executive by solving the question below. i. How many possible 6 alphanumeric usernames (which 3 uppercase followed by 3 digit), if uppercase and digit letter can be repeated. ii. By given allowed uppercase is A, B, C, D, E, F, and G, how many possible 6 11. alphabet password if uppercase letter only can be repeated? By given allowed uppercase is A, B, C, D, E, F, and G, how many possible 6 111. alphabet password if uppercase letter can only be used once?arrow_forwardYour Mark: OUT OF 2 Instruction: There are two parts (a to b) to this question. Answer all of them. Fill in your answer in the coloured box below. Question 1 The administrator of the undergraduate program of a University is interested in determining the post-program employment of the grads. The survey asked a series of questions including the following: 1) What is your post-program employment position? 2) What is your post-program employment location (country)? 3) What is your post-program employment position base salary in dollars (rounded to the nearest thousands)? 4) How many months after graduation did you find the job? A random sample of 50 graduates' responses are collected. a. Identify how many cases are collected. b. Identify whether the responses…arrow_forwardHow would you then interpret this question based on the findings?arrow_forward
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