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High School Math Calculus Glencoe Math Accelerated, Student Edition

Calculated measurement and Actual measurement when percent error of calculation is 5 % .

Calculated measurement and Actual measurement when percent error of calculation is 5 % .

Glencoe Math Accelerated, Student Edition

Glencoe Math Accelerated, Student Edition

1st Edition

ISBN: 9780076637980

Author: McGraw-Hill Glencoe

Publisher: MCG

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‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…

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Question

Chapter 6.4, Problem 33HP

To determine

To find: Calculated measurement and Actual measurement when percent error of calculation is $5%$ .

Expert Solution & Answer

Answer to Problem 33HP

When calculated measurement is $1.05$ times of Actual measurement then the percent error will be $5%$ .

Explanation of Solution

Given information:

Percent error = $5%$

Percent error $=AO×100$

Where

$A=$ Absolute value.

$O=$ Actual value.

From given information

Percent error = $5%$

Let us assume

Actual measurement as $'a'$

Calculated measurement as $'c'$

Absolute value = calculated value $−$ Actual value.

$⇒A=c−a$

Therefore,

Percent error $=c−aa×100$

$⇒5=c−aa×100⇒5100=c−aa⇒0.05=c−aa⇒c−a=0.05a⇒c=a+0.05a⇒c=1.05a$

Therefore

When calculated measurement is $1.05$ times of Actual measurement then the percent error will be $5%$ .

Assume

Actual measurement = $100$

Calculated measurement = $105$

Then

Percent error = $105−100100×100$

$⇒$ Percent error = $5100×100$

$⇒$ Percent error = $5$

Chapter 6.4, Problem 32HP

Chapter 6.4, Problem 34HP

Chapter 6 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 6.1 - Prob. 1GP Ch. 6.1 - Prob. 2GP Ch. 6.1 - Prob. 3GP Ch. 6.1 - Prob. 4GP Ch. 6.1 - Prob. 5GP Ch. 6.1 - Prob. 6GP Ch. 6.1 - Prob. 7GP Ch. 6.1 - Prob. 8GP Ch. 6.1 - Prob. 9GP Ch. 6.1 - Prob. 10GP

Ch. 6.1 - Prob. 11GP Ch. 6.1 - Prob. 12GP Ch. 6.1 - Prob. 13IP Ch. 6.1 - Prob. 14IP Ch. 6.1 - Prob. 15IP Ch. 6.1 - Prob. 16IP Ch. 6.1 - Prob. 17IP Ch. 6.1 - Prob. 18IP Ch. 6.1 - Prob. 19IP Ch. 6.1 - Prob. 20IP Ch. 6.1 - Prob. 21IP Ch. 6.1 - Prob. 22IP Ch. 6.1 - Prob. 23IP Ch. 6.1 - Prob. 24IP Ch. 6.1 - Prob. 25IP Ch. 6.1 - Prob. 26IP Ch. 6.1 - Prob. 27IP Ch. 6.1 - Prob. 28IP Ch. 6.1 - Prob. 29IP Ch. 6.1 - Prob. 30IP Ch. 6.1 - Prob. 31IP Ch. 6.1 - Prob. 32IP Ch. 6.1 - Prob. 33IP Ch. 6.1 - Prob. 34IP Ch. 6.1 - Prob. 35IP Ch. 6.1 - Prob. 36IP Ch. 6.1 - Prob. 37IP Ch. 6.1 - Prob. 38IP Ch. 6.1 - Prob. 39IP Ch. 6.1 - Prob. 40IP Ch. 6.1 - Prob. 41IP Ch. 6.1 - Prob. 42HP Ch. 6.1 - Prob. 43HP Ch. 6.1 - Prob. 44HP Ch. 6.1 - Prob. 45HP Ch. 6.1 - Prob. 46HP Ch. 6.1 - Prob. 47HP Ch. 6.1 - Prob. 48HP Ch. 6.1 - Prob. 49STP Ch. 6.1 - Prob. 50STP Ch. 6.1 - Prob. 51STP Ch. 6.1 - Prob. 52STP Ch. 6.1 - Prob. 53CCR Ch. 6.1 - Prob. 54CCR Ch. 6.1 - Prob. 55CCR Ch. 6.1 - Prob. 56CCR Ch. 6.1 - Prob. 57CCR Ch. 6.1 - Prob. 58CCR Ch. 6.1 - Prob. 59CCR Ch. 6.1 - Prob. 60CCR Ch. 6.1 - Prob. 61CCR Ch. 6.1 - Prob. 62CCR Ch. 6.1 - Prob. 63CCR Ch. 6.1 - Prob. 64CCR Ch. 6.1 - Prob. 65CCR Ch. 6.1 - Prob. 66CCR Ch. 6.1 - Prob. 67CCR Ch. 6.1 - Prob. 68CCR Ch. 6.1 - Prob. 69CCR Ch. 6.1 - Prob. 70CCR Ch. 6.1 - Prob. 71CCR Ch. 6.1 - Prob. 72CCR Ch. 6.2 - Prob. 1GP Ch. 6.2 - Prob. 2GP Ch. 6.2 - Prob. 3GP Ch. 6.2 - Prob. 4GP Ch. 6.2 - Prob. 5GP Ch. 6.2 - Prob. 6GP Ch. 6.2 - Prob. 7GP Ch. 6.2 - Prob. 8GP Ch. 6.2 - Prob. 9GP Ch. 6.2 - Prob. 10GP Ch. 6.2 - Prob. 11GP Ch. 6.2 - Prob. 12GP Ch. 6.2 - Prob. 13GP Ch. 6.2 - Prob. 14GP Ch. 6.2 - Prob. 15GP Ch. 6.2 - Prob. 16GP Ch. 6.2 - Prob. 17GP Ch. 6.2 - Prob. 18GP Ch. 6.2 - Prob. 19GP Ch. 6.2 - Prob. 20GP Ch. 6.2 - Prob. 21GP Ch. 6.2 - Prob. 22IP Ch. 6.2 - Prob. 23IP Ch. 6.2 - Prob. 24IP Ch. 6.2 - Prob. 25IP Ch. 6.2 - Prob. 26IP Ch. 6.2 - Prob. 27IP Ch. 6.2 - Prob. 28IP Ch. 6.2 - Prob. 29IP Ch. 6.2 - Prob. 30IP Ch. 6.2 - Prob. 31IP Ch. 6.2 - Prob. 32IP Ch. 6.2 - Prob. 33IP Ch. 6.2 - Prob. 34IP Ch. 6.2 - Prob. 35IP Ch. 6.2 - Prob. 36IP Ch. 6.2 - Prob. 37IP Ch. 6.2 - Prob. 38IP Ch. 6.2 - Prob. 39IP Ch. 6.2 - Prob. 40IP Ch. 6.2 - Prob. 41IP Ch. 6.2 - Prob. 42IP Ch. 6.2 - Prob. 43IP Ch. 6.2 - Prob. 44IP Ch. 6.2 - Prob. 45IP Ch. 6.2 - Prob. 46IP Ch. 6.2 - Prob. 47IP Ch. 6.2 - Prob. 48IP Ch. 6.2 - Prob. 49IP Ch. 6.2 - Prob. 50IP Ch. 6.2 - Prob. 51IP Ch. 6.2 - Prob. 52HP Ch. 6.2 - Prob. 53HP Ch. 6.2 - Prob. 54HP Ch. 6.2 - Prob. 55HP Ch. 6.2 - Prob. 56HP Ch. 6.2 - Prob. 57STP Ch. 6.2 - Prob. 58STP Ch. 6.2 - Prob. 59STP Ch. 6.2 - Prob. 60STP Ch. 6.2 - Prob. 61CCR Ch. 6.2 - Prob. 62CCR Ch. 6.2 - Prob. 63CCR Ch. 6.2 - Prob. 64CCR Ch. 6.2 - Prob. 65CCR Ch. 6.2 - Prob. 66CCR Ch. 6.2 - Prob. 67CCR Ch. 6.2 - Prob. 68CCR Ch. 6.2 - Prob. 69CCR Ch. 6.2 - Prob. 70CCR Ch. 6.3 - Prob. 1GP Ch. 6.3 - Prob. 2GP Ch. 6.3 - Prob. 3GP Ch. 6.3 - Prob. 4GP Ch. 6.3 - Prob. 5GP Ch. 6.3 - Prob. 6GP Ch. 6.3 - Prob. 7GP Ch. 6.3 - Prob. 8GP Ch. 6.3 - Prob. 9IP Ch. 6.3 - Prob. 10IP Ch. 6.3 - Prob. 11IP Ch. 6.3 - Prob. 12IP Ch. 6.3 - Prob. 13IP Ch. 6.3 - Prob. 14IP Ch. 6.3 - Prob. 15IP Ch. 6.3 - Prob. 16IP Ch. 6.3 - Prob. 17IP Ch. 6.3 - Prob. 18IP Ch. 6.3 - Prob. 19IP Ch. 6.3 - Prob. 20IP Ch. 6.3 - Prob. 21IP Ch. 6.3 - Prob. 22IP Ch. 6.3 - Prob. 23IP Ch. 6.3 - Prob. 24IP Ch. 6.3 - Prob. 25IP Ch. 6.3 - Prob. 26IP Ch. 6.3 - Prob. 27IP Ch. 6.3 - Prob. 28IP Ch. 6.3 - Prob. 29IP Ch. 6.3 - Prob. 30HP Ch. 6.3 - Prob. 31HP Ch. 6.3 - Prob. 32HP Ch. 6.3 - Prob. 33HP Ch. 6.3 - Prob. 34HP Ch. 6.3 - Prob. 35STP Ch. 6.3 - Prob. 36STP Ch. 6.3 - Prob. 37STP Ch. 6.3 - Prob. 38STP Ch. 6.3 - Prob. 39CCR Ch. 6.3 - Prob. 40CCR Ch. 6.3 - Prob. 41CCR Ch. 6.3 - Prob. 42CCR Ch. 6.3 - Prob. 43CCR Ch. 6.3 - Prob. 44CCR Ch. 6.3 - Prob. 45CCR Ch. 6.3 - Prob. 46CCR Ch. 6.3 - Prob. 47CCR Ch. 6.3 - Prob. 48CCR Ch. 6.3 - Prob. 49CCR Ch. 6.3 - Prob. 50CCR Ch. 6.3 - Prob. 51CCR Ch. 6.3 - Prob. 52CCR Ch. 6.3 - Prob. 53CCR Ch. 6.3 - Prob. 54CCR Ch. 6.4 - Prob. 1GP Ch. 6.4 - Prob. 2GP Ch. 6.4 - Prob. 3GP Ch. 6.4 - Prob. 4GP Ch. 6.4 - Prob. 5GP Ch. 6.4 - Prob. 6GP Ch. 6.4 - Prob. 7IP Ch. 6.4 - Prob. 8IP Ch. 6.4 - Prob. 9IP Ch. 6.4 - Prob. 10IP Ch. 6.4 - Prob. 11IP Ch. 6.4 - Prob. 12IP Ch. 6.4 - Prob. 13IP Ch. 6.4 - Prob. 14IP Ch. 6.4 - Prob. 15IP Ch. 6.4 - Prob. 16IP Ch. 6.4 - Prob. 17IP Ch. 6.4 - Prob. 18IP Ch. 6.4 - Prob. 19IP Ch. 6.4 - Prob. 20IP Ch. 6.4 - Prob. 21IP Ch. 6.4 - Prob. 22IP Ch. 6.4 - Prob. 23IP Ch. 6.4 - Prob. 24IP Ch. 6.4 - Prob. 25IP Ch. 6.4 - Prob. 26IP Ch. 6.4 - Prob. 27IP Ch. 6.4 - Prob. 28IP Ch. 6.4 - Prob. 29IP Ch. 6.4 - Prob. 30IP Ch. 6.4 - Prob. 31IP Ch. 6.4 - Prob. 32HP Ch. 6.4 - Prob. 33HP Ch. 6.4 - Prob. 34HP Ch. 6.4 - Prob. 35HP Ch. 6.4 - Prob. 36HP Ch. 6.4 - Prob. 37STP Ch. 6.4 - Prob. 38STP Ch. 6.4 - Prob. 39STP Ch. 6.4 - Prob. 40STP Ch. 6.4 - Prob. 41CCR Ch. 6.4 - Prob. 42CCR Ch. 6.4 - Prob. 43CCR Ch. 6.4 - Prob. 44CCR Ch. 6.4 - Prob. 45CCR Ch. 6.4 - Prob. 46CCR Ch. 6.4 - Prob. 47CCR Ch. 6.4 - Prob. 48CCR Ch. 6.4 - Prob. 49CCR Ch. 6.4 - Prob. 50CCR Ch. 6.4 - Prob. 51CCR Ch. 6.4 - Prob. 52CCR Ch. 6.4 - Prob. 53CCR Ch. 6.4 - Prob. 54CCR Ch. 6.4 - Prob. 55CCR Ch. 6.4 - Prob. 56CCR Ch. 6.5 - Prob. 1GP Ch. 6.5 - Prob. 2GP Ch. 6.5 - Prob. 3GP Ch. 6.5 - Prob. 4GP Ch. 6.5 - Prob. 5GP Ch. 6.5 - Prob. 6GP Ch. 6.5 - Prob. 7GP Ch. 6.5 - Prob. 8GP Ch. 6.5 - Prob. 9GP Ch. 6.5 - Prob. 10IP Ch. 6.5 - Prob. 11IP Ch. 6.5 - Prob. 12IP Ch. 6.5 - Prob. 13IP Ch. 6.5 - Prob. 14IP Ch. 6.5 - Prob. 15IP Ch. 6.5 - Prob. 16IP Ch. 6.5 - Prob. 17IP Ch. 6.5 - Prob. 18IP Ch. 6.5 - Prob. 19IP Ch. 6.5 - Prob. 20IP Ch. 6.5 - Prob. 21IP Ch. 6.5 - Prob. 22IP Ch. 6.5 - Prob. 23IP Ch. 6.5 - Prob. 24IP Ch. 6.5 - Prob. 25IP Ch. 6.5 - Prob. 26IP Ch. 6.5 - Prob. 27IP Ch. 6.5 - Prob. 28IP Ch. 6.5 - Prob. 29IP Ch. 6.5 - Prob. 30IP Ch. 6.5 - Prob. 31IP Ch. 6.5 - Prob. 32IP Ch. 6.5 - Prob. 33IP Ch. 6.5 - Prob. 34IP Ch. 6.5 - Prob. 35IP Ch. 6.5 - Prob. 36IP Ch. 6.5 - Prob. 37IP Ch. 6.5 - Prob. 38IP Ch. 6.5 - Prob. 39IP Ch. 6.5 - Prob. 40HP Ch. 6.5 - Prob. 41HP Ch. 6.5 - Prob. 42HP Ch. 6.5 - Prob. 43HP Ch. 6.5 - Prob. 44HP Ch. 6.5 - Prob. 45HP Ch. 6.5 - Prob. 46STP Ch. 6.5 - Prob. 47STP Ch. 6.5 - Prob. 48STP Ch. 6.5 - Prob. 49STP Ch. 6.5 - Prob. 50CCR Ch. 6.5 - Prob. 51CCR Ch. 6.5 - Prob. 52CCR Ch. 6.5 - Prob. 53CCR Ch. 6.5 - Prob. 54CCR Ch. 6.5 - Prob. 55CCR Ch. 6.5 - Prob. 56CCR Ch. 6.5 - Prob. 57CCR Ch. 6.5 - Prob. 58CCR Ch. 6.5 - Prob. 59CCR Ch. 6.5 - Prob. 60CCR Ch. 6.5 - Prob. 61CCR Ch. 6.5 - Prob. 62CCR Ch. 6.5 - Prob. 63CCR Ch. 6.5 - Prob. 64CCR Ch. 6.5 - Prob. 65CCR Ch. 6.5 - Prob. 66CCR Ch. 6.5 - Prob. 67CCR Ch. 6.5 - Prob. 68CCR Ch. 6.5 - Prob. 69CCR Ch. 6.5 - Prob. 70CCR Ch. 6.6 - Prob. 1GP Ch. 6.6 - Prob. 2GP Ch. 6.6 - Prob. 3GP Ch. 6.6 - Prob. 4GP Ch. 6.6 - Prob. 5GP Ch. 6.6 - Prob. 6GP Ch. 6.6 - Prob. 7GP Ch. 6.6 - Prob. 8GP Ch. 6.6 - Prob. 9GP Ch. 6.6 - Prob. 10IP Ch. 6.6 - Prob. 11IP Ch. 6.6 - Prob. 12IP Ch. 6.6 - Prob. 13IP Ch. 6.6 - Prob. 14IP Ch. 6.6 - Prob. 15IP Ch. 6.6 - Prob. 16IP Ch. 6.6 - Prob. 17IP Ch. 6.6 - Prob. 18IP Ch. 6.6 - Prob. 19IP Ch. 6.6 - Prob. 20IP Ch. 6.6 - Prob. 21IP Ch. 6.6 - Prob. 22IP Ch. 6.6 - Prob. 23IP Ch. 6.6 - Prob. 24IP Ch. 6.6 - Prob. 25IP Ch. 6.6 - Prob. 26IP Ch. 6.6 - Prob. 27IP Ch. 6.6 - Prob. 28IP Ch. 6.6 - Prob. 29IP Ch. 6.6 - Prob. 30IP Ch. 6.6 - Prob. 31IP Ch. 6.6 - Prob. 32IP Ch. 6.6 - Prob. 33HP Ch. 6.6 - Prob. 34HP Ch. 6.6 - Prob. 35HP Ch. 6.6 - Prob. 36HP Ch. 6.6 - Prob. 37HP Ch. 6.6 - Prob. 38STP Ch. 6.6 - Prob. 39STP Ch. 6.6 - Prob. 40STP Ch. 6.6 - Prob. 41STP Ch. 6.6 - Prob. 42CCR Ch. 6.6 - Prob. 43CCR Ch. 6.6 - Prob. 44CCR Ch. 6.6 - Prob. 45CCR Ch. 6.6 - Prob. 46CCR Ch. 6.6 - Prob. 47CCR Ch. 6.6 - Prob. 48CCR Ch. 6.6 - Prob. 49CCR Ch. 6.6 - Prob. 50CCR Ch. 6.6 - Prob. 51CCR Ch. 6.6 - Prob. 52CCR Ch. 6.6 - Prob. 53CCR Ch. 6 - Prob. 1CR Ch. 6 - Prob. 2CR Ch. 6 - Prob. 3CR Ch. 6 - Prob. 4CR Ch. 6 - Prob. 5CR Ch. 6 - Prob. 6CR Ch. 6 - Prob. 7CR Ch. 6 - Prob. 8CR Ch. 6 - Prob. 9CR Ch. 6 - Prob. 10CR Ch. 6 - Prob. 11CR Ch. 6 - Prob. 12CR Ch. 6 - Prob. 13CR Ch. 6 - Prob. 14CR Ch. 6 - Prob. 15CR Ch. 6 - Prob. 16CR Ch. 6 - Prob. 17CR Ch. 6 - Prob. 18CR Ch. 6 - Prob. 19CR Ch. 6 - Prob. 20CR Ch. 6 - Prob. 21CR Ch. 6 - Prob. 22CR Ch. 6 - Prob. 23CR Ch. 6 - Prob. 24CR Ch. 6 - Prob. 25CR Ch. 6 - Prob. 26CR Ch. 6 - Prob. 27CR Ch. 6 - Prob. 28CR Ch. 6 - Prob. 29CR Ch. 6 - Prob. 30CR Ch. 6 - Prob. 31CR Ch. 6 - Prob. 32CR Ch. 6 - Prob. 33CR Ch. 6 - Prob. 34CR Ch. 6 - Prob. 35CR Ch. 6 - Prob. 36CR Ch. 6 - Prob. 37CR Ch. 6 - Prob. 38CR Ch. 6 - Prob. 39CR Ch. 6 - Prob. 40CR Ch. 6 - Prob. 41CR Ch. 6 - Prob. 42CR Ch. 6 - Prob. 43CR Ch. 6 - Prob. 44CR Ch. 6 - Prob. 45CR Ch. 6 - Prob. 46CR Ch. 6 - Prob. 47CR Ch. 6 - Prob. 48CR Ch. 6 - Prob. 49CR Ch. 6 - Prob. 50CR

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