1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariana [72]
3 years ago
9

Books are identified by an International Standard Book Number (ISBN), a 10-digit code x1 x2...x10, assigned by the publisher. Th

ese 10 digits consist of blocks identifying the language, the publisher, the number assigned to the book by its publishing company, and finally, a 1-digit check digit that is either a digit or the letter X (used to represent 10). This check digit is selected so that \sum_{i=1}^{10} ix_i \equiv 0 \text{ mod } 11 and is used to detect errors in individual digits and transposition of digits.
a. The ISBN for a book is 1-32-794182- Q} where Q is the check digit. What is Q?
b. The ISBN of another book is 2-429-39M18-6. Find the digit M.
Mathematics
1 answer:
Sindrei [870]3 years ago
3 0

Answer:

Q = 1

M = 2

Step-by-step explanation:

Solving (a):

Given: 1-32-794182- Q

Required: Find Q

To do this, we first multiply each digit in descending order of 10.

So, we have:

Product = 1 * 10 + 3 * 9 + 2 * 8 + 7 * 7 + 9 * 6 + 4 * 5 + 1 * 4 + 8 * 3 + 2 * 2 + Q * 1

Product = 208 + Q *1

Product = 208 + Q

Equate the modulus of the product by 11 to 0

Product \% 11 = 0

(208 + Q) \% 11 = 0

The next number greater than 208 divisible by 11 is 209.

So, we have:

(208 + Q) \% 11 = 209 \% 11

Express 209 as 208 + 1

(208 + Q) \% 11 = (208 + 1)\% 11

By comparison:

Q = 1

Hence, the checksum is 1

Solving (a):

Given: 2-429-39M18-6

Required: Find M

Apply the same step in (a)

So, we have:

Product = 2 * 10 + 4 * 9 + 2 * 8 + 9 * 7 + 3 * 6 + 9 * 5 + M * 4 + 1 * 3 + 8 * 2 + 6 * 1

Product = 198 + 4M + 25

Product = 223+ 4M

Equate the modulus of the product by 11 to 0

Product \% 11 = 0

(223+ 4M) \% 11 = 0

The next number greater than 223 divisible by 11 is 231.

So, we have:

(223+ 4M) \% 11 = 231 \% 11

Express 231 as 223 + 8

(223+ 4M) \% 11 = (223 + 8) \% 11

By comparison:

4M = 8

Divide both sides by 4

M = 2

You might be interested in
Can someone please help me please
ExtremeBDS [4]

a straight horizontal line is 180 degrees

box in the middle means that angle is 90 degrees

(s+1) + 90 + (2s-1) = 180

3s + 90 = 180

s = 30

3 0
2 years ago
Y+ 1/2 =-3/4 How would you do this one
UkoKoshka [18]
y+\frac{1}{2}=-\frac{3}{4}\ \ \ |Add\ \frac{1}{2}\ to\ each\ side\\\\
y=-\frac{3}{4}-\frac{1}{2} \ \ \ |Make\ a common\ denominator\\\\
y=-\frac{3}{4}-\frac{2}{4}\\\\
y=-\frac{5}{4}=-1\frac{1}{4}\\\\
y=-1\frac{1}{4}
6 0
3 years ago
Read 2 more answers
PLEASE ANSWER + BRAINLIEST!!
Neporo4naja [7]
-4 and 0 are the x-intercepts

3 0
3 years ago
The square of a positive number increased by twice the number equals three. Find the number
koban [17]

Answer:

1

Step-by-step explanation:

Let the number be x

x² + 2x = 3

x² + 2x - 3 = 0

Product  = -3

Sum =2

Factors = 3 * (-1)

x² + 3x - x - 3 = 0

x*(x+3) - (x + 3) = 0

(x + 3)(x - 1) = 0

Ignore x + 3 because the number is a positive number

x - 1 = 0

x = 1

The number is 1

8 0
3 years ago
Scores on a history test have average of 80 with standard deviation of 6. What is the z-score for a student who earned a 74 on t
Olegator [25]

Answer:

12

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Each half of the drawbridge is about 284 feet long. How high does the drawbridge rise when x is 30?? The drawbridge rises about
    15·1 answer
  • Choose all the fractions that are equivalent to 1/7 .
    8·1 answer
  • Determine if the three side lengths could form a right triangle.<br> 4, 11, 16
    6·1 answer
  • Arithmetic Geometric or Neither...
    10·1 answer
  • Scenario:
    13·1 answer
  • The two dot plots below compare the forearm lengths of two groups of schoolchildren:
    12·1 answer
  • Solve the system of equations below:<br><br> y = 3x - 5<br><br> y = -2x + 10
    6·1 answer
  • FIRST-PERSON GETS 30 POINTS!!! Can someone please help me with numbers 5 and 6?
    15·2 answers
  • Can someone please help?​
    8·2 answers
  • Angles BAE and FAC are straight angles. What angle relationship best describes angles BAC and EAC?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!