Math in Our World
4th Edition
ISBN: 9781264357116
Author: sobecki
Publisher: MCG
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Chapter 4.1, Problem 46E
To determine
To write: The number 93 by using multiplicative grouping system.
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Chapter 4 Solutions
Math in Our World
Ch. 4.1 - Try This One 1
The pharmacist at the hospital...Ch. 4.1 - Find the numerical value of each Egyptian numeral.Ch. 4.1 - Prob. 3TTOCh. 4.1 - Prob. 4TTOCh. 4.1 - Prob. 5TTOCh. 4.1 - Prob. 6TTOCh. 4.1 - Using the symbols in Example 7, write the symbols...Ch. 4.1 - Prob. 8TTOCh. 4.1 - Prob. 9TTOCh. 4.1 - Prob. 10TTO
Ch. 4.1 - Prob. 11TTOCh. 4.1 - Prob. 12TTOCh. 4.1 - Prob. 13TTOCh. 4.1 - Write each number using the Babylonian numeration...Ch. 4.1 - Prob. 15TTOCh. 4.1 - Describe the difference between a number and a...Ch. 4.1 - Briefly describe how a grouping system works.Ch. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Both the Roman and Egyptian systems use symbols to...Ch. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - For Exercises 714, write each number using...Ch. 4.1 - For Exercises 714, write each number using...Ch. 4.1 - For Exercises 714, write each number using...Ch. 4.1 - Prob. 12ECh. 4.1 - For Exercises 714, write each number using...Ch. 4.1 - For Exercises 714, write each number using...Ch. 4.1 - For Exercises 714, write each number using...Ch. 4.1 - For Exercises 714, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 1524, write each number using...Ch. 4.1 - For Exercises 2530, perform the indicated...Ch. 4.1 - For Exercises 2530, perform the indicated...Ch. 4.1 - For Exercises 2530, perform the indicated...Ch. 4.1 - For Exercises 2530, perform the indicated...Ch. 4.1 - For Exercises 2530, perform the indicated...Ch. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - For Exercises 3136, write each number using...Ch. 4.1 - For Exercises 3136, write each number using...Ch. 4.1 - For Exercises 3136, write each number using...Ch. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - For Exercises 3742, write each number using...Ch. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - For Exercises 4548, write each number in expanded...Ch. 4.1 - For Exercises 4548, write each number in expanded...Ch. 4.1 - For Exercises 4548, write each number in expanded...Ch. 4.1 - Prob. 54ECh. 4.1 - For Exercises 4952, write the number in the...Ch. 4.1 - For Exercises 4952, write the number in the...Ch. 4.1 - For Exercises 4952, write the number in the...Ch. 4.1 - For Exercises 4952, write the number in the...Ch. 4.1 - Prob. 59ECh. 4.1 - For Exercises 5360, write each number using...Ch. 4.1 - Prob. 61ECh. 4.1 - For Exercises 5360, write each number using...Ch. 4.1 - For Exercises 5360, write each number using...Ch. 4.1 - For Exercises 5360, write each number using...Ch. 4.1 - For Exercises 5360, write each number using...Ch. 4.1 - For Exercises 5360, write each number using...Ch. 4.1 - For Exercises 6168, write each number using...Ch. 4.1 - Prob. 68ECh. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - Prob. 73ECh. 4.1 - Prob. 74ECh. 4.1 - For Exercises 6976, write each number in the...Ch. 4.1 - For Exercises 6976, write each number in the...Ch. 4.1 - For Exercises 6976, write each number in the...Ch. 4.1 - For Exercises 6976, write each number in the...Ch. 4.1 - For Exercises 6976, write each number in the...Ch. 4.1 - For Exercises 6976, write each number in the...Ch. 4.1 - Prob. 81ECh. 4.1 - Prob. 82ECh. 4.1 - For Exercises 7784, write each number in Roman...Ch. 4.1 - For Exercises 7784, write each number in Roman...Ch. 4.1 - For Exercises 7784, write each number in Roman...Ch. 4.1 - For Exercises 7784, write each number in Roman...Ch. 4.1 - For Exercises 7784, write each number in Roman...Ch. 4.1 - For Exercises 7784, write each number in Roman...Ch. 4.1 - For Exercises 7784, write each number in Roman...Ch. 4.1 - Prob. 90ECh. 4.1 - Prob. 91ECh. 4.1 - In Exercises 85 and 86, convert each number from...Ch. 4.1 - Prob. 93ECh. 4.1 - Prob. 94ECh. 4.1 - Prob. 95ECh. 4.1 - Prob. 96ECh. 4.1 - Prob. 97ECh. 4.1 - Prob. 98ECh. 4.1 - Prob. 99ECh. 4.1 - Prob. 100ECh. 4.1 - Prob. 101ECh. 4.1 - Prob. 102ECh. 4.1 - In Exercises 97100, write the given number in the...Ch. 4.1 - In Exercises 97100, write the given number in the...Ch. 4.1 - In Exercises 97100, write the given number in the...Ch. 4.1 - Prob. 106ECh. 4.1 - Most movies use Roman numerals in the credits to...Ch. 4.1 - Most movies use Roman numerals in the credits to...Ch. 4.1 - Most movies use Roman numerals in the credits to...Ch. 4.1 - Most movies use Roman numerals in the credits to...Ch. 4.1 - Most movies use Roman numerals in the credits to...Ch. 4.1 - Prob. 112ECh. 4.1 - Prob. 113ECh. 4.1 - Prob. 114ECh. 4.1 - Prob. 115ECh. 4.1 - Prob. 116ECh. 4.1 - Prob. 117ECh. 4.1 - Prob. 118ECh. 4.1 - Prob. 119ECh. 4.1 - Prob. 120ECh. 4.1 - Make up your own numeration system using your own...Ch. 4.1 - Prob. 123ECh. 4.1 - Prob. 124ECh. 4.1 - Find the largest number you can write with exactly...Ch. 4.1 - Prob. 128ECh. 4.1 - Prob. 129ECh. 4.1 - Prob. 130ECh. 4.1 - Prob. 131ECh. 4.2 - Use the Egyptian algorithm to multiply 22 15.Ch. 4.2 - Prob. 2TTOCh. 4.2 - Prob. 3TTOCh. 4.2 - Prob. 4TTOCh. 4.2 - Prob. 5TTOCh. 4.2 - Prob. 6TTOCh. 4.2 - Prob. 7TTOCh. 4.2 - Prob. 1ECh. 4.2 - Describe the connection between the lattice method...Ch. 4.2 - For Exercises 312, use the Egyptian algorithm to...Ch. 4.2 - For Exercises 312, use the Egyptian algorithm to...Ch. 4.2 - For Exercises 312, use the Egyptian algorithm to...Ch. 4.2 - For Exercises 312, use the Egyptian algorithm to...Ch. 4.2 - Prob. 7ECh. 4.2 - For Exercises 312, use the Egyptian algorithm to...Ch. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - For Exercises 1322, use the Russian peasant method...Ch. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - For Exercises 1322, use the Russian peasant method...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - For Exercises 2332, use the lattice method to...Ch. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - For Exercises 2332, use the lattice method to...Ch. 4.2 - For Exercises 2332, use the lattice method to...Ch. 4.2 - For Exercises 2332, use the lattice method to...Ch. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Construct a set of Napiers bones out of poster...Ch. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.3 - Prob. 1TTOCh. 4.3 - Prob. 2TTOCh. 4.3 - Prob. 3TTOCh. 4.3 - Prob. 4TTOCh. 4.3 - Prob. 5TTOCh. 4.3 - Prob. 6TTOCh. 4.3 - (a) Convert 100011001two to hexadecimal. (b)...Ch. 4.3 - Explain why the base two system requires only two...Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - How can you tell how many characters are needed...Ch. 4.3 - Explain why letters are needed in base number...Ch. 4.3 - What does the first digit in a four-digit base...Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 726, convert each number to base 10....Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 2746, write each base 10 number in...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 4756, convert each number to base...Ch. 4.3 - For Exercises 5764, convert each binary number (a)...Ch. 4.3 - For Exercises 5764, convert each binary number (a)...Ch. 4.3 - For Exercises 5764, convert each binary number (a)...Ch. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - For Exercises 6572, convert each octal number to...Ch. 4.3 - Prob. 71ECh. 4.3 - Prob. 72ECh. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Prob. 78ECh. 4.3 - Prob. 79ECh. 4.3 - Prob. 80ECh. 4.3 - Prob. 81ECh. 4.3 - Prob. 82ECh. 4.3 - Prob. 83ECh. 4.3 - Prob. 84ECh. 4.3 - Prob. 85ECh. 4.3 - Prob. 86ECh. 4.3 - Prob. 87ECh. 4.3 - Prob. 88ECh. 4.3 - Prob. 89ECh. 4.3 - Prob. 90ECh. 4.3 - Prob. 91ECh. 4.3 - Prob. 92ECh. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.3 - Prob. 95ECh. 4.3 - Prob. 96ECh. 4.3 - Prob. 97ECh. 4.3 - Prob. 98ECh. 4.3 - Prob. 99ECh. 4.3 - Prob. 100ECh. 4.3 - Prob. 101ECh. 4.3 - Prob. 102ECh. 4.3 - Prob. 103ECh. 4.3 - Colors on Web pages are determined by a six-digit...Ch. 4.3 - Prob. 105ECh. 4.3 - Prob. 106ECh. 4.3 - Prob. 107ECh. 4.3 - Colors on Web pages are determined by a six-digit...Ch. 4.3 - Prob. 109ECh. 4.3 - Prob. 110ECh. 4.3 - Prob. 111ECh. 4.3 - Prob. 112ECh. 4.3 - Prob. 113ECh. 4.3 - Prob. 114ECh. 4.3 - Prob. 115ECh. 4.3 - Prob. 116ECh. 4.3 - Prob. 117ECh. 4.3 - Prob. 118ECh. 4.3 - Prob. 119ECh. 4.3 - Prob. 120ECh. 4.4 - Add in base five: 324five + 203five.Ch. 4.4 - Prob. 2TTOCh. 4.4 - Prob. 3TTOCh. 4.4 - Prob. 4TTOCh. 4.4 - Prob. 5TTOCh. 4.4 - Prob. 6TTOCh. 4.4 - Prob. 7TTOCh. 4.4 - While hanging around one evening, your roommate is...Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Make an addition table for base four.Ch. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - Prob. 11ECh. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - For Exercises 940, perform the indicated...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - Prob. 44ECh. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - The binary, octal, and hexidecimal systems are...Ch. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - The American Standard Code for Information (ASCII)...Ch. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4 - For Exercises 15, write each number using...Ch. 4 - For Exercises 15, write each number using...Ch. 4 - For Exercises 15, write each number using...Ch. 4 - For Exercises 15, write each number using...Ch. 4 - For Exercises 15, write each number using...Ch. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - For Exercises 1120, write each number in the...Ch. 4 - For Exercises 1120, write each number in the...Ch. 4 - Prob. 13RECh. 4 - For Exercises 1120, write each number in the...Ch. 4 - For Exercises 1120, write each number in the...Ch. 4 - For Exercises 1120, write each number in the...Ch. 4 - For Exercises 1120, write each number in the...Ch. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - For Exercises 21 and 22, perform the indicated...Ch. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - For Exercises 3134, multiply using the Russian...Ch. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - For Exercises 3942, use Napiers bones (constructed...Ch. 4 - Prob. 42RECh. 4 - For Exercises 4350, write each number in base 10....Ch. 4 - For Exercises 4350, write each number in base 10....Ch. 4 - For Exercises 4350, write each number in base 10....Ch. 4 - For Exercises 4350, write each number in base 10....Ch. 4 - For Exercises 4350, write each number in base 10....Ch. 4 - Prob. 48RECh. 4 - For Exercises 4350, write each number in base 10....Ch. 4 - For Exercises 4350, write each number in base 10....Ch. 4 - For Exercises 5158, write each number in the...Ch. 4 - Prob. 52RECh. 4 - For Exercises 5158, write each number in the...Ch. 4 - For Exercises 5158, write each number in the...Ch. 4 - For Exercises 5158, write each number in the...Ch. 4 - For Exercises 5158, write each number in the...Ch. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - In Exercises 5966, subscripts are omitted since...Ch. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - For Exercises 63 and 64, convert each octal number...Ch. 4 - Prob. 65RECh. 4 - For Exercises 65 and 66, convert each hexadecimal...Ch. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 - Prob. 74RECh. 4 - For Exercises 6980, perform the indicated...Ch. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - Prob. 78RECh. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - For Exercises 15, write each number using...Ch. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - For Exercises 610, write each number in the system...Ch. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 12CTCh. 4 - Prob. 13CTCh. 4 - Prob. 14CTCh. 4 - Prob. 15CTCh. 4 - Prob. 16CTCh. 4 - Prob. 17CTCh. 4 - Prob. 18CTCh. 4 - Prob. 19CTCh. 4 - Prob. 20CTCh. 4 - Prob. 21CTCh. 4 - Prob. 22CTCh. 4 - Prob. 23CTCh. 4 - Prob. 24CTCh. 4 - Prob. 25CTCh. 4 - Prob. 26CTCh. 4 - Prob. 27CTCh. 4 - Prob. 28CTCh. 4 - Prob. 29CTCh. 4 - Prob. 30CTCh. 4 - Prob. 31CTCh. 4 - Prob. 32CTCh. 4 - Prob. 33CTCh. 4 - Prob. 34CTCh. 4 - Prob. 35CTCh. 4 - Prob. 36CTCh. 4 - Prob. 37CTCh. 4 - Prob. 38CT
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- 4. Prove that, for any random variable X, the minimum of EIX-al is attained for a = med (X).arrow_forward8. Recall, from Sect. 2.16.4, the likelihood ratio statistic, Ln, which was defined as a product of independent, identically distributed random variables with mean 1 (under the so-called null hypothesis), and the, sometimes more convenient, log-likelihood, log L, which was a sum of independent, identically distributed random variables, which, however, do not have mean log 1 = 0. (a) Verify that the last claim is correct, by proving the more general statement, namely that, if Y is a non-negative random variable with finite mean, then E(log Y) log(EY). (b) Prove that, in fact, there is strict inequality: E(log Y) < log(EY), unless Y is degenerate. (c) Review the proof of Jensen's inequality, Theorem 5.1. Generalize with a glimpse on (b).arrow_forward2. Derive the component transformation equations for tensors shown be- low where [C] = [BA] is the direction cosine matrix from frame A to B. B[T] = [C]^[T][C]T 3. The transport theorem for vectors shows that the time derivative can be constructed from two parts: the first is an explicit frame-dependent change of the vector whereas the second is an active rotational change of the vector. The same holds true for tensors. Starting from the previous result, derive a version of transport theorem for tensors. [C] (^[T])[C] = dt d B dt B [T] + [WB/A]B[T] – TWB/A] (10 pt) (7pt)arrow_forward
- Use the graph of the function y = f (x) to find the value, if possible. f(x) 8 7 6 Q5 y 3 2 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -2 -3 -4 -5 -6 -7 -8+ Olim f(z) x-1+ O Limit does not exist.arrow_forward3. Prove that, for any random variable X, the minimum of E(X - a)² is attained for a = EX. Provedarrow_forwardShade the areas givenarrow_forward
- 7. Cantelli's inequality. Let X be a random variable with finite variance, o². (a) Prove that, for x ≥ 0, P(X EX2x)≤ 02 x² +0² 202 P(|X - EX2x)<≤ (b) Find X assuming two values where there is equality. (c) When is Cantelli's inequality better than Chebyshev's inequality? (d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall, from Proposition 6.1, that an application of Chebyshev's inequality yields the bound o√√2. (e) Generalize Cantelli's inequality to moments of order r 1.arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardThe Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?arrow_forward
- The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardWhat was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forwardWhat was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forward
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