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

Answers

Answer 1

Answer:

[tex]Q = 1[/tex]

[tex]M = 2[/tex]

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:

[tex]Product = 1 * 10 + 3 * 9 + 2 * 8 + 7 * 7 + 9 * 6 + 4 * 5 + 1 * 4 + 8 * 3 + 2 * 2 + Q * 1[/tex]

[tex]Product = 208 + Q *1[/tex]

[tex]Product = 208 + Q[/tex]

Equate the modulus of the product by 11 to 0

[tex]Product \% 11 = 0[/tex]

[tex](208 + Q) \% 11 = 0[/tex]

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

So, we have:

[tex](208 + Q) \% 11 = 209 \% 11[/tex]

Express 209 as 208 + 1

[tex](208 + Q) \% 11 = (208 + 1)\% 11[/tex]

By comparison:

[tex]Q = 1[/tex]

Hence, the checksum is 1

Solving (a):

Given: 2-429-39M18-6

Required: Find M

Apply the same step in (a)

So, we have:

[tex]Product = 2 * 10 + 4 * 9 + 2 * 8 + 9 * 7 + 3 * 6 + 9 * 5 + M * 4 + 1 * 3 + 8 * 2 + 6 * 1[/tex]

[tex]Product = 198 + 4M + 25[/tex]

[tex]Product = 223+ 4M[/tex]

Equate the modulus of the product by 11 to 0

[tex]Product \% 11 = 0[/tex]

[tex](223+ 4M) \% 11 = 0[/tex]

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

So, we have:

[tex](223+ 4M) \% 11 = 231 \% 11[/tex]

Express 231 as 223 + 8

[tex](223+ 4M) \% 11 = (223 + 8) \% 11[/tex]

By comparison:

[tex]4M = 8[/tex]

Divide both sides by 4

[tex]M = 2[/tex]


Related Questions

22. Eight people equally share 3 pizzas. How much pizza does each person recieve?
oc

Answers

Answer:

About 2.6 pizza's each. (round it however you see fit)

Step-by-step explanation:

Hope this helps!! Have a good day and remember to be tiger fierce!! :)

Answer:

3/8

Step-by-step explanation:

I'll give points and brainalist for answer / explanation

Answers

Answer:

D. 8

Step-by-step explanation:

C= 2πr

π= 3.14

C= 25.12

25.12 = 2 * 3.14 * r

r= 4

d= 2r

d= 8


Asha is tiling the lobby of the school with one-foot square tiles. She has 6 bags
of tiles with 50 tiles in each. The lobby is a 30-foot by 8-foot rectangle. How
many tiles will Asha have left over after she tiles the lobby?

Answers

Answer:

60 tiles left over

Step-by-step explanation:

the lobby needs 30 x 8 = 240 tiles.

she has 6 x 50 = 300 tiles

300 - 240 = 60 left over

find the area of the figure use 3.14

Answers

Answer:

466.08 m²

Step-by-step explanation:

The figure is composed of a triangle and a semicircle.

Therefore,

Area of the figure = area of the triangle + area of the semicircle

= ½*b*h + ½*πr²

Where,

b = 24 m

h = 20 m

π = 3.14

r = ½ of 24 m = 12 m

Substitute each value into the equation

Area of the figure = ½*24*20 + ½*3.14*12²

= 240 + 226.08

= 466.08 m²

HELP PLS!!
Write the inequality shown by the graph

Answers

Answer: y>-2/6+2

Step-by-step explanation:

We know it's greater then so we just need to find the line. Let's look at the Slope, since 0,2 is greater than -6,4 we start there. The y of 0,2 is 2 so we subtract 4 from 2 which is -2 and now we subtract -6 from 0 which is 6 so now we have -2/6 and the intercept is 2 so we now have y=mx+b which is the line in black: y=-2/6+2. But it is greater than so its y>-2/6+2

15, 19, 23, 27.... what is the 52nd term in the arithmetic sequence?​

Answers

Answer:

219

Step-by-step explanation:

a is the number needed to add from the first to the second which is 4(must be constant)

b is the term zero means 15-a which is 15-4=11

I will mark you brainalist

Answers

Answer:

the answer is X=-7

,,,,,

Answer:

it would be x=7

Step-by-step explanation:

brainliest pls

Ms. Annand baked an apple pie. The boys in the house ate ⅛ of it and the girls ate 3/5. What fraction of the pie did the boys and girls eat altogether? Please answer

Answers

Answer:

29/40

Step-by-step explanation:

1/8 + 3/5 =

We need a common denominator.

8 = 2^3

5 = 5

8 and 5 have no common factors, so the LCD is their product.

LCD = 5 * 8 = 40

1/8 + 3/5 =

= 5/40 + 24/40

= 29/40

answer fast plz sjsjzjz​

Answers

Answer:

104

Step-by-step explanation:

Just separate the whole thing into two shapes. Multiply the first shape: 12 x 7 = 84

Multiply the second shape: 5 x 4 = 20

A number greater than or equal to 41.

Answers

Answer:

42

Step-by-step explanation:

¯\_(ツ)_/¯

8. Determine the area of a sector
with a central angle of 42° in a
circle with radius 3 inches.

NEED IT ASAP

Answers

Answer:

[tex]\boxed {\boxed {\sf A \approx 3.3 \ in^2}}[/tex]

Step-by-step explanation:

Since we are given the central angle in degrees, we should use the following formula for sector area.

[tex]A= \frac {\theta}{360}* \pi r^2[/tex]

The angle is 42 degrees and the radius is 3 inches. Therefore,

[tex]\theta= 42 \\r=3 \ in[/tex]

[tex]A=\frac {42}{360} * \pi (3 \ in)^2[/tex]

Solve the exponent.

(3 in)²= 3 in*3in = 9 in²

[tex]A=\frac {42}{360} * \pi (9 \ in^2)[/tex]

Multiply all three numbers together.

[tex]A= 0.116666666667* 3.14159265359 * 9 \ in^2[/tex]

[tex]A=3.29867228627 \ in^2[/tex]

Let's round to the tenth place. The 9 in the hundredth place tells us to round the 2 up to a 3.

[tex]A \approx 3.3 \ in^2[/tex]

The area of the sector is approximately 3.3 square inches.

Need someone to help me with my maths tutorial ASP!!​

Answers

Answer:

hi! how can i help? <3

Step-by-step explanation:

okay i can stand in for you

Answer please. Tysm!

Answers

Answer:

6a5 + 5b

Step-by-step explanation:

Write each product using an exponent. 9 x 9 x 9 x 9 x9
(Will be giving brainliest)

Answers

Answer: 9^ 5

Step-by-step explanation: since there is 5 9’s multiplied by each other, it would be 9 to the 5th power.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathtt{9\times9\times9\times9\times9}\\\mathtt{= 81\times 81\times9}\\\mathtt{= 6,561\times9}\\\mathtt{= 59,049}\\\mathtt{= 9\times 9\times 9 \times 9 \times 9 \rightarrow 9^5}[/tex]


[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathtt{9^5}}\huge\checkmark[/tex]


[tex]\huge\boxed{\mathtt{Good \ luck \ on \ your \ assignment\ \& \ enjoy}}\\\huge\boxed{\mathtt{your \ day!}}[/tex]



~[tex]\frak{Amphitritr1040:)}[/tex]

3 |a| +5 |b| if a = −2; b = −1
WILL AWARD BRAINLIEST

Answers

Answer:

-11

Step-by-step explanation:

[tex]3( - 2) + 5( - 1)[/tex]

[tex] - 6 + ( - 5)[/tex]

[tex] - 11[/tex]

Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8
million people, and in 2010, there were 8.7 million people.

Answers

Answer:

The annual percentage rate of change for the population of Oregon is of 8.125%.

Step-by-step explanation:

Total percentage change:

Change multiplied by 100 and divided by the initial value.

Change: 8.7 - 4.8 = 3.9 million

Initial value: 4.8

Percentage change: 3.9*100/4.8 = 81.25%

Annual percentage rate of change

81.25% during 10 years(from 2000 to 2010).

So, per year

81.25%/10 = 8.125%

The annual percentage rate of change for the population of Oregon is of 8.125%.

solve for x
please help​

Answers

Answer:

x = 63.5°

Step-by-step explanation:

To find the value of x in the given right triangle, we would apply trigonometric function.

Reference angle = x

Side length Opposite to x = 17

Hypotenuse length = 19

Apply SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

which technique is best to use for x² + 4x = 15

Answers

U want to go x2 plus x so its x3 then 4x3times -15 so x=3.33333

PLEASE HELP DUE IN 3 minutes

Answers

Answer:

B

Step-by-step explanation:

B option 2nd histograms  matches with the data given in table...

Select all the expressions that have the same value

Answers

so what was the question again?

Answer:

Step-by-step explanation:

A recipe calls for 2 cups flour and 1 1/2 cup milk to make seven servings. Ming has plenty of​ flour, but only 5 cups of milk. How many servings can he​ make? Ming can make (answer) servings with 5 cups of milk.

Answers

Answer:

21 or 23 servings.

Step-by-step explanation:

What is the 100th term of this sequence:

an=2n-5

Answers

a(100) = 2(100) - 5 = 195

This means 195 is the 100th term. Hope this helps!!

The 100th term of the sequence is 195.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

a(n) = 2n - 5

For n = 100,

a(100):

= 2 x 100 - 5

= 200 - 5

= 195

Thus,

The 100th term is 195.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

Help..................

Answers

Triangle has 180 degrees:
180=2m-3+m+4+3m+5
Combine like terms
180 = 6m+6
Subtract 6 from 180
174=6m
Divide by 6
m=29

Brainliest if that helped, please :)
The sum of all the angles in a triangle is 180°.

(m+4) + (3m+5) + (2m-3) = 180°

m + 4 + 3m + 5 + 2m - 3 = 180°

6m + 6 = 180°

6m = 180° - 6

6m = 174

m = 29°

Calculate the SQRT485 Express answer to nearest hundredth.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 22.02

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Cart 1 (500 g) moves to the right at 0.40 m/s. Cart 2 (250g) moves to the left at 0.50 m/s. a. If the carts stick after the collision, what will be their velocity?

Answers

Answer:

after the collision cart 1 will stop and cart 2 will keep moving will 0.1.m/s after stop.

6) Supplementary Exercise 5.51

A consumer advocate claims that 80 percent of cable television subscribers are not satisfied with their cable service. In an attempt to justify this claim, a randomly selected sample of cable subscribers will be polled on this issue.

(a)

Suppose that the advocate's claim is true, and suppose that a random sample of five cable subscribers is selected. Assuming independence, use an appropriate formula to compute the probability that four or more subscribers in the sample are not satisfied with their service. (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)

The answer for 6(a) is P( Xâ¥4) = P ( x = 4) + P (x = 5) = 5/4 * 0.84 * 0.21 + 5/5 * 0.85 * 0.20 = 0.737

(b)

Suppose that the advocate's claim is true, and suppose that a random sample of 25 cable subscribers is selected. Assuming independence, find each of the following: (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)

1.

The probability that 15 or fewer subscribers in the sample are not satisfied with their service.

The answer for 6(b)1 is P(Yâ¤15) = 1 - P( Y > 20) - X20, i = 16 P ( Y = i) = 1- 0.421 - 0.562 = 0.017

2.

The probability that more than 20 subscribers in the sample are not satisfied with their service.

The answer for 6(b)2 is

3.

The probability that between 20 and 24 (inclusive) subscribers in the sample are not satisfied with their service.

The answer for 6(b)3 is P(20 > Y < 24) = 1 - 0.421 - 0.1867 - 0.1358 - 0.0708 - 0.0236 = 0.1621

4.

The probability that exactly 24 subscribers in the sample are not satisfied with their service.

The answer for 6(b)4 is P( Y = 24) = 0.0236

(c)

Suppose that when we survey 25 randomly selected cable television subscribers, we find that 15 are actually not satisfied with their service. Using a probability you found in this exercise as the basis for your answer, do you believe the consumer advocate's claim? Explain. (Round your answer to 4 decimal places.)

Answers

Answer:

[tex]P(X \le 4) = 0.7373[/tex]

[tex]P(x \le 15) = 0.0173[/tex]

[tex]P(x > 20) = 0.4207[/tex]

[tex]P(20\ge x \le 24)= 0.6129[/tex]

[tex]P(x = 24) = 0.0236[/tex]

[tex]P(x = 15) = 1.18\%[/tex]

Step-by-step explanation:

Given

[tex]p = 80\% = 0.8[/tex]

The question illustrates binomial distribution and will be solved using:

[tex]P(X = x) = ^nC_xp^x(1 - p)^{n-x}[/tex]

Solving (a):

Given

[tex]n =5[/tex]

Required

[tex]P(X\ge 4)[/tex]

This is calculated using

[tex]P(X \le 4) = P(x = 4) +P(x=5)[/tex]

This gives:

[tex]P(X \le 4) = ^5C_4 * (0.8)^4*(1 - 0.8)^{5-4} + ^5C_5*0.8^5*(1 - 0.8)^{5-5}[/tex]

[tex]P(X \le 4) = 5 * (0.8)^4*(0.2)^1 + 1*0.8^5*(0.2)^0[/tex]

[tex]P(X \le 4) = 0.4096 + 0.32768[/tex]

[tex]P(X \le 4) = 0.73728[/tex]

[tex]P(X \le 4) = 0.7373[/tex] --- approximated

Solving (b):

Given

[tex]n =25[/tex]

i)

Required

[tex]P(X\le 15)[/tex]

This is calculated as:

[tex]P(X\le 15) = 1 - P(x>15)[/tex] --- Complement rule

[tex]P(x>15) = P(x=16) + P(x=17) + P(x =18) + P(x = 19) + P(x = 20) + P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]

[tex]P(x > 15) = {25}^C_{16} * p^{16}*(1-p)^{25-16} +{25}^C_{17} * p^{17}*(1-p)^{25-17} +{25}^C_{18} * p^{18}*(1-p)^{25-18} +{25}^C_{19} * p^{19}*(1-p)^{25-19} +{25}^C_{20} * p^{20}*(1-p)^{25-20} +{25}^C_{21} * p^{21}*(1-p)^{25-21} +{25}^C_{22} * p^{22}*(1-p)^{25-22} +{25}^C_{23} * p^{23}*(1-p)^{25-23} +{25}^C_{24} * p^{24}*(1-p)^{25-24} +{25}^C_{25} * p^{25}*(1-p)^{25-25}[/tex]

[tex]P(x > 15) = 2042975 * 0.8^{16}*0.2^9 +1081575* 0.8^{17}*0.2^8 +480700 * 0.8^{18}*0.2^7 +177100 * 0.8^{19}*0.2^6 +53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]  

[tex]P(x > 15) = 0.98266813045[/tex]

So:

[tex]P(X\le 15) = 1 - P(x>15)[/tex]

[tex]P(x \le 15) = 1 - 0.98266813045[/tex]

[tex]P(x \le 15) = 0.01733186955[/tex]

[tex]P(x \le 15) = 0.0173[/tex]

ii)

[tex]P(x>20)[/tex]

This is calculated as:

[tex]P(x>20) = P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]

[tex]P(x > 20) = 12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]

[tex]P(x > 20) = 0.42067430925[/tex]

[tex]P(x > 20) = 0.4207[/tex]

iii)

[tex]P(20\ge x \le 24)[/tex]

This is calculated as:

[tex]P(20\ge x \le 24) = P(x = 20) + P(x = 21) + P(x = 22) + P(x =23) + P(x = 24)[/tex]

[tex]P(20\ge x \le 24)= 53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1[/tex]

[tex]P(20\ge x \le 24)= 0.61291151859[/tex]

[tex]P(20\ge x \le 24)= 0.6129[/tex]

iv)

[tex]P(x = 24)[/tex]

This is calculated as:

[tex]P(x = 24) = 25* 0.8^{24}*0.2^1[/tex]

[tex]P(x = 24) = 0.0236[/tex]

Solving (c):

[tex]P(x = 15)[/tex]

This is calculated as:

[tex]P(x = 15) = {25}^C_{15} * 0.8^{15} * 0.2^{10}[/tex]

[tex]P(x = 15) = 3268760 * 0.8^{15} * 0.2^{10}[/tex]

[tex]P(x = 15) = 0.01177694905[/tex]

[tex]P(x = 15) = 0.0118[/tex]

Express as percentage

[tex]P(x = 15) = 1.18\%[/tex]

The calculated probability (1.18%) is way less than the advocate's claim.

Hence, we do not believe the claim.


A scientist is experimenting with bacteria growth populations. He starts with 100 bacteria in a petri dish and estimates that the population will triple each day

Answers

Day 1: 100 bacteria
Day 2: 100x3=300
Day3:300x3= 900
Day4: 900x3= 2700
Day 5: 2700x3= 8100
Continued...

pls just look at the pic to find the question

Answers

If you count the squares, you will see that there is 3 squares or units between Q and R and 7 squares or units between P and Q
Answer is D.

What is the lateral surface area of this net



Help!!!

Answers

9514 1404 393

Answer:

  720 square feet

Step-by-step explanation:

The lateral area is the area of the central rectangle of the net. It is 12+12+12 = 36 feet long and 20 ft wide.

The lateral area is (36 ft)(20 ft) = 720 ft².

For the following right triangle, find the side length x.
15

Answers

Answer: 17

Step-by-step explanation:

Pythagorean Theorem

a^2+b^2=c^2

8^2+15^2=c^2

64+225=c^2

289=c^2

Now square both sides

x=17

Answer:

x = 17

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 8^{2} + 15^{2}[/tex]

[tex]c^{2} = 64 + 225[/tex]

[tex]c^{2} = 289[/tex]

[tex]\sqrt{c^2} = \sqrt{289}[/tex]

[tex]c = 17[/tex]

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