
Mathematical Excursions (MindTap Course List)
4th Edition
ISBN: 9781305965584
Author: Richard N. Aufmann, Joanne Lockwood, Richard D. Nation, Daniel K. Clegg
Publisher: Cengage Learning
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Textbook Question
Chapter 12.2, Problem 26ES
Evaluate the expression.
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8–23. Sketching vector fields Sketch the following vector fields
25-30. Normal and tangential components For the vector field F and
curve C, complete the following:
a. Determine the points (if any) along the curve C at which the vector
field F is tangent to C.
b. Determine the points (if any) along the curve C at which the vector
field F is normal to C.
c. Sketch C and a few representative vectors of F on C.
25. F
=
(2½³, 0); c = {(x, y); y −
x² =
1}
26. F
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x
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27. F(x, y); C = {(x, y): x² + y² = 4}
28. F = (y, x); C = {(x, y): x² + y² = 1}
29. F = (x, y); C =
30. F = (y, x); C =
{(x, y): x = 1}
{(x, y): x² + y² = 1}
Chapter 12 Solutions
Mathematical Excursions (MindTap Course List)
Ch. 12.1 - In a stack of 12 identical-looking coins, one is...Ch. 12.1 - In a stack of 13 identical-looking coins, one is...Ch. 12.1 - List the elements of the sample space defined by...Ch. 12.1 - List the elements of the sample space defined by...Ch. 12.1 - List the elements of the sample space defined by...Ch. 12.1 - List the elements of the sample space defined by...Ch. 12.1 - List the elements of the sample space defined by...Ch. 12.1 - List the elements of the sample space defined by...Ch. 12.1 - List the elements of the sample space defined by...Ch. 12.1 - List the elements of the sample space defined by...
Ch. 12.1 - Prob. 9ESCh. 12.1 - List the elements of the sample space defined by...Ch. 12.1 - List the sample space of paths that start at A and...Ch. 12.1 - Prob. 12ESCh. 12.1 - Use the counting principle to determine the number...Ch. 12.1 - Use the counting principle to determine the number...Ch. 12.1 - Use the counting principle to determine the number...Ch. 12.1 - Use the counting principle to determine the number...Ch. 12.1 - Prob. 17ESCh. 12.1 - Prob. 18ESCh. 12.1 - Use the following experiment. Two digit numbers...Ch. 12.1 - Prob. 20ESCh. 12.1 - Use the following experiment. Two digit numbers...Ch. 12.1 - Prob. 22ESCh. 12.1 - Prob. 23ESCh. 12.1 - Use the following experiment. Two digit numbers...Ch. 12.1 - Prob. 25ESCh. 12.1 - Use the following experiment. Four cards labeled...Ch. 12.1 - Prob. 27ESCh. 12.1 - Use the following experiment. Four cards labeled...Ch. 12.1 - Prob. 29ESCh. 12.1 - Use the following experiment. A state lottery game...Ch. 12.1 - Use the following experiment. A state lottery game...Ch. 12.1 - Use the following experiment. A state lottery game...Ch. 12.1 - Prob. 33ESCh. 12.1 - Prob. 34ESCh. 12.1 - Prob. 35ESCh. 12.1 - Prob. 36ESCh. 12.2 - For each of the following exercises, assume that a...Ch. 12.2 - For each of the following exercises., assume that...Ch. 12.2 - For each of the following exercises, assume that a...Ch. 12.2 - For each of the following exercises, assume that a...Ch. 12.2 - For each of the following exercises, assume that a...Ch. 12.2 - Prob. 1ESCh. 12.2 - Prob. 2ESCh. 12.2 - Prob. 3ESCh. 12.2 - Prob. 4ESCh. 12.2 - Evaluate the expression. (83)!Ch. 12.2 - Prob. 6ESCh. 12.2 - Evaluate the expression. P(8,5)Ch. 12.2 - Evaluate the expression. P(7,2)Ch. 12.2 - Evaluate the expression. P(9,7)Ch. 12.2 - Prob. 10ESCh. 12.2 - Evaluate the expression. P(8,0)Ch. 12.2 - Evaluate the expression. P(7,0)Ch. 12.2 - Evaluate the expression. P(8,8)Ch. 12.2 - Prob. 14ESCh. 12.2 - Evaluate the expression. P(8,2)P(5,3)Ch. 12.2 - Prob. 16ESCh. 12.2 - Evaluate the expression. P(6,0)P(6,6)Ch. 12.2 - P(10,4)P(8,4) Evaluate the expression....Ch. 12.2 - Evaluate the expression. C(9,2)Ch. 12.2 - Prob. 20ESCh. 12.2 - Evaluate the expression. C(12,0)Ch. 12.2 - Prob. 22ESCh. 12.2 - Prob. 23ESCh. 12.2 - Evaluate the expression. C(8,5)C(9,4)Ch. 12.2 - Prob. 25ESCh. 12.2 - Evaluate the expression. C(4,3)C(5,2)C(9,5)Ch. 12.2 - Prob. 27ESCh. 12.2 - Prob. 28ESCh. 12.2 - Prob. 29ESCh. 12.2 - Evaluate the expression. 5!C(18,0)Ch. 12.2 - How many combinations are possible? Assume that...Ch. 12.2 - How many combinations are possible? Assume that...Ch. 12.2 - How many combinations are possible? Assume that...Ch. 12.2 - Prob. 34ESCh. 12.2 - Is it possible to calculate C(7,9)? Think of your...Ch. 12.2 - Prob. 36ESCh. 12.2 - Music Downloads A student downloaded 5 music tiles...Ch. 12.2 - Elections The board of directors of a corporation...Ch. 12.2 - Elections A committee of 16 students must select a...Ch. 12.2 - The Olympics A gold, a silver, and a bronze medal...Ch. 12.2 - Music Festival Six country music bands and 3 rock...Ch. 12.2 - Prob. 42ESCh. 12.2 - Passwords A password require 8 characters. If a...Ch. 12.2 - Gardening A gardener is planting a row of tulip...Ch. 12.2 - Prob. 45ESCh. 12.2 - Platoons A typical platoon consists of 20...Ch. 12.2 - Exam Questions A professor gives his students 7...Ch. 12.2 - Test Banks A math quiz is generated by randomly...Ch. 12.2 - Committee Selection A committee of 6 people is...Ch. 12.2 - Quality Control In a shipment of 20 smart phones,...Ch. 12.2 - Prob. 51ESCh. 12.2 - Basketball In the Eastern Conference of the...Ch. 12.2 - Prob. 53ESCh. 12.2 - Prob. 54ESCh. 12.2 - Softball Eighteen people decide to play softball....Ch. 12.2 - Bowling Fifteen people decide to form a bowling...Ch. 12.2 - Signal Flags The Coast Guard uses signal flags as...Ch. 12.2 - Pizza Toppings A restaurant offers a special pizza...Ch. 12.2 - Letter Arrangements How many different letter...Ch. 12.2 - Prob. 60ESCh. 12.2 - Coin Tosses Ten identical coins are tossed. How...Ch. 12.2 - Coin Tosses Twelve identical coins are tossed. How...Ch. 12.2 - Prob. 63ESCh. 12.2 - Prob. 64ESCh. 12.2 - Refer to a standard deck of playing cards. Assume...Ch. 12.2 - Prob. 66ESCh. 12.2 - Refer to a standard deck of playing cards. Assume...Ch. 12.2 - Prob. 68ESCh. 12.2 - Prob. 69ESCh. 12.2 - Refer to a standard deck of playing cards. Assume...Ch. 12.2 - Prob. 71ESCh. 12.2 - Prob. 72ESCh. 12.2 - Prob. 73ESCh. 12.3 - Using the recorded data, calculate the empirical...Ch. 12.3 - The theoretical probability that a toothpick will...Ch. 12.3 - Prob. 3EECh. 12.3 - Prob. 4EECh. 12.3 - Prob. 5EECh. 12.3 - Prob. 6EECh. 12.3 - List the elements of the sample space for each...Ch. 12.3 - Prob. 2ESCh. 12.3 - List the elements of the sample space for each...Ch. 12.3 - List the elements of the sample space for each...Ch. 12.3 - List the elements of the sample space for each...Ch. 12.3 - List the elements of the sample space for each...Ch. 12.3 - Assume that it is equally likely for a child to be...Ch. 12.3 - Assume that it is equally likely for a child to be...Ch. 12.3 - Assume that it is equally likely for a child to be...Ch. 12.3 - Prob. 10ESCh. 12.3 - Assume that it is equally likely for a child to be...Ch. 12.3 - Assume that it is equally likely for a child to be...Ch. 12.3 - Assume that it is equally likely for a child to be...Ch. 12.3 - Prob. 14ESCh. 12.3 - Assume that it is equally likely for a child to be...Ch. 12.3 - Prob. 16ESCh. 12.3 - A coin is tossed 4 times. Assuming the coin is...Ch. 12.3 - A coin is tossed 4 times. Assuming the coin is...Ch. 12.3 - In Exercises 19 to 22, a dodecahedral die (one...Ch. 12.3 - In Exercises 19 to 22, a dodecahedral die (one...Ch. 12.3 - In Exercises 19 to 22, a dodecahedral die (one...Ch. 12.3 - Prob. 22ESCh. 12.3 - In Exercises 23 to 32, 2 regular 6-sided dice are...Ch. 12.3 - Prob. 24ESCh. 12.3 - In Exercises 23 to 32, 2 regular 6-sided dice are...Ch. 12.3 - Prob. 26ESCh. 12.3 - In Exercises 23 to 32, 2 regular 6-sided dice are...Ch. 12.3 - Prob. 28ESCh. 12.3 - In Exercises 23 to 32, 2 regular 6-sided dice are...Ch. 12.3 - In Exercises 23 to 32, 2 regular 6-sided dice are...Ch. 12.3 - In Exercises 23 to 32, 2 regular 6-sided dice are...Ch. 12.3 - Prob. 32ESCh. 12.3 - If 2 dice are rolled, compute the probability of...Ch. 12.3 - Prob. 34ESCh. 12.3 - In Exercises 35 to 38. a card is selected at...Ch. 12.3 - Prob. 36ESCh. 12.3 - In Exercises 35 to 38. a card is selected at...Ch. 12.3 - Prob. 38ESCh. 12.3 - Voter Characteristics In Exercises 39 to 44, use...Ch. 12.3 - Prob. 40ESCh. 12.3 - Voter Characteristics In Exercises 39 to 44, use...Ch. 12.3 - Voter Characteristics In Exercises 39 to 44, use...Ch. 12.3 - Voter Characteristics In Exercises 39 to 44, use...Ch. 12.3 - Prob. 44ESCh. 12.3 - Education Levels In Exercises 45 to 48, a survey...Ch. 12.3 - Education Levels In Exercises 45 to 48, a survey...Ch. 12.3 - Education Levels In Exercises 45 to 48, a survey...Ch. 12.3 - Education Levels In Exercises 45 to 48, a survey...Ch. 12.3 - Annual Salaries A random survey asked respondents...Ch. 12.3 - Prob. 50ESCh. 12.3 - Annual Salaries A random survey asked respondents...Ch. 12.3 - Prob. 52ESCh. 12.3 - Prob. 53ESCh. 12.3 - Prob. 54ESCh. 12.3 - Genotypes The eye color of mice is determined by a...Ch. 12.3 - Genotypes The height of a certain plant is...Ch. 12.3 - Prob. 57ESCh. 12.3 - Prob. 58ESCh. 12.3 - The odds in favor of an event are given. Compute...Ch. 12.3 - Prob. 60ESCh. 12.3 - The odds in favor of an event are given. Compute...Ch. 12.3 - Prob. 62ESCh. 12.3 - The odds in favor of an event are given. Compute...Ch. 12.3 - Prob. 64ESCh. 12.3 - The probability of an event is given. Find the...Ch. 12.3 - Prob. 66ESCh. 12.3 - Prob. 67ESCh. 12.3 - Prob. 68ESCh. 12.3 - The probability of an event is given. Find the...Ch. 12.3 - Prob. 70ESCh. 12.3 - Game Shows The game board for the television show...Ch. 12.3 - Prob. 72ESCh. 12.3 - If a single fair die is rolled, what are the odds...Ch. 12.3 - Prob. 74ESCh. 12.3 - A coin is tossed 4 limes. What are the odds...Ch. 12.3 - Prob. 76ESCh. 12.3 - Use the table, which is based on information from...Ch. 12.3 - Prob. 78ESCh. 12.3 - Football A bookmaker has placed 8 to 3 odds...Ch. 12.3 - Candy Colors A snack-size bag of M&Ms candies...Ch. 12.3 - If 4 cards labeled A, B, C, and D are randomly...Ch. 12.3 - Prob. 82ESCh. 12.3 - Prob. 83ESCh. 12.3 - Prob. 84ESCh. 12.3 - Prob. 85ESCh. 12.3 - Prob. 86ESCh. 12.3 - Prob. 87ESCh. 12.3 - Prob. 88ESCh. 12.3 - Roulette Exercises 86(091 use the casino game...Ch. 12.3 - Prob. 90ESCh. 12.3 - Prob. 91ESCh. 12.4 - Prob. 1EECh. 12.4 - Prob. 2EECh. 12.4 - Prob. 3EECh. 12.4 - Prob. 4EECh. 12.4 - Some casinos will let you choose up to 20 numbers....Ch. 12.4 - If 20 numbers are chosen, find the probability of...Ch. 12.4 - Prob. 1ESCh. 12.4 - Prob. 2ESCh. 12.4 - In Exercises 3 to 6, first verify that the...Ch. 12.4 - Prob. 4ESCh. 12.4 - In Exercises 3 to 6, first verify that the...Ch. 12.4 - Prob. 6ESCh. 12.4 - If P(A)=0.2,P(B)=0.5, and P(AandB)=0.1. find...Ch. 12.4 - Prob. 8ESCh. 12.4 - If P(A)=0.3,P(B)=0.8, and P(AorB)=0.9. Find...Ch. 12.4 - Prob. 10ESCh. 12.4 - In Exercises 11 to 14, suppose you ask a friend to...Ch. 12.4 - Prob. 12ESCh. 12.4 - In Exercises 11 to 14, suppose you ask a friend to...Ch. 12.4 - Prob. 14ESCh. 12.4 - In Exercises 15 to 20, two dice are rolled....Ch. 12.4 - Prob. 16ESCh. 12.4 - In Exercises 15 to 20, two dice are rolled....Ch. 12.4 - Prob. 18ESCh. 12.4 - In Exercises 15 to 20, two dice are rolled....Ch. 12.4 - In Exercises 15 to 20, two dice are rolled....Ch. 12.4 - In Exercises 21 to 26, a single card is drawn from...Ch. 12.4 - Prob. 22ESCh. 12.4 - In Exercises 2110 26. a single card is drawn from...Ch. 12.4 - Prob. 24ESCh. 12.4 - In Exercises 2110 26. a single card is drawn from...Ch. 12.4 - Prob. 26ESCh. 12.4 - Employment In Exercises 27 to 30, use the data in...Ch. 12.4 - Employment In Exercises 27 to 30, use the data in...Ch. 12.4 - Employment In Exercises 27 to 30, use the data in...Ch. 12.4 - Prob. 30ESCh. 12.4 - Contests If the probability of winning a...Ch. 12.4 - Prob. 32ESCh. 12.4 - Professional Sports The National Collegiate -...Ch. 12.4 - Prob. 34ESCh. 12.4 - Use the formula for the probability of the...Ch. 12.4 - Prob. 36ESCh. 12.4 - Use the formula for the probability of the...Ch. 12.4 - Prob. 38ESCh. 12.4 - Use the formula for the probability of the...Ch. 12.4 - Use the formula for the probability of the...Ch. 12.4 - Prob. 41ESCh. 12.4 - Prob. 42ESCh. 12.4 - Prob. 43ESCh. 12.4 - Prob. 44ESCh. 12.4 - Prob. 45ESCh. 12.4 - Prob. 46ESCh. 12.4 - Prob. 47ESCh. 12.4 - If a person draws 3 cards from a standard deck...Ch. 12.4 - Prob. 49ESCh. 12.4 - Prob. 50ESCh. 12.4 - Prob. 51ESCh. 12.4 - Coins A bag contains 44 U.S. quarters and 6...Ch. 12.4 - Prob. 53ESCh. 12.4 - Prob. 54ESCh. 12.4 - Door Codes A planned community has 300 homes, each...Ch. 12.4 - Monty Hall Problem When someone is first presented...Ch. 12.4 - Prob. 57ESCh. 12.4 - Prob. 58ESCh. 12.5 - Prob. 1EECh. 12.5 - Prob. 2EECh. 12.5 - Prob. 3EECh. 12.5 - Prob. 4EECh. 12.5 - Prob. 1ESCh. 12.5 - Prob. 2ESCh. 12.5 - In Exercises 3 to 6, compute the conditional...Ch. 12.5 - Prob. 4ESCh. 12.5 - In Exercises 3 to 6, compute the conditional...Ch. 12.5 - In Exercises 3 to 6, compute the conditional...Ch. 12.5 - Employment In Exercises 7 to 10, use the data in...Ch. 12.5 - Employment In Exercises 7 to 10, use the data in...Ch. 12.5 - Employment In Exercises 7 to 10, use the data in...Ch. 12.5 - Prob. 10ESCh. 12.5 - Video Games In Exercises 11 to 14, use the data in...Ch. 12.5 - Video Games In Exercises 11 to 14, use the data in...Ch. 12.5 - Video Games In Exercises 11 to 14, use the data in...Ch. 12.5 - Prob. 14ESCh. 12.5 - A pair of dice is tossed. Find the probability...Ch. 12.5 - Prob. 16ESCh. 12.5 - A pair of dice is tossed. What is the probability...Ch. 12.5 - Prob. 18ESCh. 12.5 - What is the probability of drawing 2 cards in...Ch. 12.5 - Prob. 20ESCh. 12.5 - Two cards are drawn from a standard deck without...Ch. 12.5 - Prob. 22ESCh. 12.5 - Candy Colors In Exercises 23 to 26, a snack-size...Ch. 12.5 - Prob. 24ESCh. 12.5 - Candy Colors In Exercises 23 to 26, a snack-size...Ch. 12.5 - Prob. 26ESCh. 12.5 - In Exercises 27 to 30, 3 cards are dealt from a...Ch. 12.5 - Prob. 28ESCh. 12.5 - In Exercises 27 to 30, 3 cards are dealt from a...Ch. 12.5 - Prob. 30ESCh. 12.5 - Student Attendance In Exercises 31 to 34, the...Ch. 12.5 - Prob. 32ESCh. 12.5 - Student Attendance In Exercises 31 to 34, the...Ch. 12.5 - Student Attendance In Exercises 31 to 34, the...Ch. 12.5 - Prob. 35ESCh. 12.5 - Prob. 36ESCh. 12.5 - Prob. 37ESCh. 12.5 - Prob. 38ESCh. 12.5 - Prob. 39ESCh. 12.5 - Prob. 40ESCh. 12.5 - Prob. 41ESCh. 12.5 - In Exercises 39 to 44, a pair of dice is tossed...Ch. 12.5 - Prob. 43ESCh. 12.5 - Prob. 44ESCh. 12.5 - Prob. 45ESCh. 12.5 - Prob. 46ESCh. 12.5 - Prob. 47ESCh. 12.5 - Prob. 48ESCh. 12.5 - Prob. 49ESCh. 12.5 - In Exercises 4910 54, a card is drawn from a...Ch. 12.5 - Prob. 51ESCh. 12.5 - Prob. 52ESCh. 12.5 - Prob. 53ESCh. 12.5 - Prob. 54ESCh. 12.5 - A standard deck of playing cards is shuffled, and...Ch. 12.5 - Prob. 56ESCh. 12.5 - A hag contains 5 red marbles, 4 green marbles, and...Ch. 12.5 - Prob. 58ESCh. 12.5 - Prob. 59ESCh. 12.5 - Prob. 60ESCh. 12.5 - Prob. 61ESCh. 12.5 - Prob. 62ESCh. 12.5 - Monty Hall Problem This is another explanation,...Ch. 12.6 - Compute the probability that if a bet is placed on...Ch. 12.6 - Prob. 2EECh. 12.6 - Prob. 3EECh. 12.6 - Prob. 4EECh. 12.6 - Prob. 5EECh. 12.6 - Determine the expectation for wagering $1 on the...Ch. 12.6 - Prob. 7EECh. 12.6 - Prob. 8EECh. 12.6 - Prob. 1ESCh. 12.6 - The outcomes of an experiment and the probability...Ch. 12.6 - Roulette One of the wagers in the game of roulette...Ch. 12.6 - Roulette One of the wagers in roulette is to bet...Ch. 12.6 - Casino Games Many casinos have a game called the...Ch. 12.6 - Casino Games Many casinos have a game called the...Ch. 12.6 - Casino Games Many casinos have a game called the...Ch. 12.6 - Casino Games Many casinos have a game called the...Ch. 12.6 - Life Insurance Exercises 9 to 14 use data taken...Ch. 12.6 - Life Insurance Exercises 9 to 14 use data taken...Ch. 12.6 - Prob. 11ESCh. 12.6 - Prob. 12ESCh. 12.6 - Prob. 13ESCh. 12.6 - Prob. 14ESCh. 12.6 - Construction A construction company has been hired...Ch. 12.6 - Prob. 16ESCh. 12.6 - Design Consultant A consultant has been hired to...Ch. 12.6 - Prob. 18ESCh. 12.6 - If a pair of regular dice is tossed once, use the...Ch. 12.6 - Consider rolling a pair of unusual dice, for which...Ch. 12.6 - Prob. 21ESCh. 12.6 - Suppose you purchase a ticket for a prize and your...Ch. 12.6 - Prob. 23ESCh. 12.6 - Prob. 24ESCh. 12 - List the elements of the sample space for the...Ch. 12 - Prob. 2RECh. 12 - Prob. 3RECh. 12 - Prob. 4RECh. 12 - An athletic shoe store sells running shoes in 3...Ch. 12 - Prob. 6RECh. 12 - Prob. 7RECh. 12 - Prob. 8RECh. 12 - Prob. 9RECh. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Prob. 15RECh. 12 - A matching test has 7 definitions that are to be...Ch. 12 - A matching test has 7 definitions to be matched...Ch. 12 - Prob. 18RECh. 12 - Twelve identical coins are tossed. How many...Ch. 12 - Work Shifts Three positions are open at a...Ch. 12 - A professor assigns 25 homework problems, of which...Ch. 12 - Prob. 22RECh. 12 - Quality Control A quality control inspector...Ch. 12 - Prob. 24RECh. 12 - 25. How many 5-card poker hands consist of 4 of a...Ch. 12 - Prob. 26RECh. 12 - Prob. 27RECh. 12 - Prob. 28RECh. 12 - Use the table below, which shows the number of...Ch. 12 - Use the table below, which shows the number of...Ch. 12 - Prob. 31RECh. 12 - Prob. 32RECh. 12 - Prob. 33RECh. 12 - Prob. 34RECh. 12 - Prob. 35RECh. 12 - Prob. 36RECh. 12 - Prob. 37RECh. 12 - Prob. 38RECh. 12 - Prob. 39RECh. 12 - Prob. 40RECh. 12 - Prob. 41RECh. 12 - Prob. 42RECh. 12 - Prob. 43RECh. 12 - Prob. 44RECh. 12 - Two cards are drawn, without replacement, from a...Ch. 12 - Prob. 46RECh. 12 - A box contains 24 different colored chips that are...Ch. 12 - Prob. 48RECh. 12 - A box contains 24 different colored chips that are...Ch. 12 - Prob. 50RECh. 12 - A box contains 24 different colored chips that are...Ch. 12 - Prob. 52RECh. 12 - Use the table below, which shows the number of...Ch. 12 - Use the table below, which shows the number of...Ch. 12 - Use the table below, which shows the number of...Ch. 12 - Prob. 56RECh. 12 - Prob. 57RECh. 12 - Prob. 58RECh. 12 - Prob. 59RECh. 12 - Prob. 60RECh. 12 - Prob. 61RECh. 12 - Prob. 62RECh. 12 - Prob. 63RECh. 12 - Prob. 64RECh. 12 - 1 will flip 2 coins. If both coins come up tails,...Ch. 12 - Raffle Tickets For a fundraiser, an elementary...Ch. 12 - Prob. 67RECh. 12 - Prob. 68RECh. 12 - Life Insurance The probability that a 19-year-old...Ch. 12 - Construction A construction company has bid on a...Ch. 12 - Prob. 1TCh. 12 - Computer Systems A computer system can be...Ch. 12 - Prob. 3TCh. 12 - Prob. 4TCh. 12 - Prob. 5TCh. 12 - Prob. 6TCh. 12 - Prob. 7TCh. 12 - Prob. 8TCh. 12 - Prob. 9TCh. 12 - Prob. 10TCh. 12 - Prob. 11TCh. 12 - Prob. 12TCh. 12 - Prob. 13TCh. 12 - Prob. 14T
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- R₂ = X2 2) slots per pole per phase = 3/3 1 B-180-60 msl Ka Sin (1) Isin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 s = 1000-950 1000 Copper losses 5kw Rotor input 5 6) 1 0.05 G 50105 loo kw اذا ميريد شرح الكتب فقط look 7) rotov DC ined sove in peaper I need a detailed solution on paper please 064 2- A hot ball (D=15 cm ) is cooled by forced air T.-30°C, the rate of heat transfer from the ball is 460.86 W. Take for the air -0.025 Wim °C and Nu=144.89, find the ball surface temperature a) 300 °C 16 b) 327 °C c) 376 °C d) None か = 750 01arrow_forwardAnswer questions 8.3.3 and 8.3.4 respectively 8.3.4 .WP An article in Medicine and Science in Sports and Exercise [“Electrostimulation Training Effects on the Physical Performance of Ice Hockey Players” (2005, Vol. 37, pp. 455–460)] considered the use of electromyostimulation (EMS) as a method to train healthy skeletal muscle. EMS sessions consisted of 30 contractions (4-second duration, 85 Hz) and were carried out three times per week for 3 weeks on 17 ice hockey players. The 10-meter skating performance test showed a standard deviation of 0.09 seconds. Construct a 95% confidence interval of the standard deviation of the skating performance test.arrow_forward8.6.7 Consider the tire-testing data in Exercise 8.2.3. Compute a 95% tolerance interval on the life of the tires that has confidence level 95%. Compare the length of the tolerance interval with the length of the 95% CI on the population mean. Which interval is shorter? Discuss the difference in interpretation of these two intervals.arrow_forward
- 8.6.2 Consider the natural frequency of beams described in Exercise 8.2.8. Compute a 90% prediction interval on the diameter of the natural frequency of the next beam of this type that will be tested. Compare the length of the prediction interval with the length of the 90% CI on the population mean. 8.6.3 Consider the television tube brightness test described in Exercise 8.2.7. Compute a 99% prediction interval on the brightness of the next tube tested. Compare the length of the prediction interval with the length of the 99% CI on the population mean.arrow_forwardAnswer question S8 stepwisearrow_forwardAnswer questions 8.2.11 and 8.2.12 respectivelyarrow_forward
- 8.4.2 An article in Knee Surgery, Sports Traumatology, Arthroscopy [“Arthroscopic Meniscal Repair with an Absorbable Screw: Results and Surgical Technique” (2005, Vol. 13, pp. 273–279)] showed that only 25 out of 37 tears (67.6%) located between 3 and 6 mm from the meniscus rim were healed. a. Calculate a two-sided 95% confidence interval on the proportion of such tears that will heal. b. Calculate a 95% lower confidence bound on the proportion of such tears that will heal. 8.4.3 An article in the Journal of the American Statistical Association [“Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling” (1990, Vol. 85, pp. 972–985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. a. Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95%…arrow_forward8.4.8 Use the data from Exercise 8.4.2 to compute the two-sided Agresti-Coull CI on the proportion of tears that heal. Compare and discuss the relationship of this interval to the one computed in Exercise 8.4.2.arrow_forwardAnswer questions 8.3.7 and 8.4.1 respectivelyarrow_forward
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