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]


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if Patty has 56 apples and And has 87 pears how many grapes do they have in total including Ava's 890 blueberries?

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Answer:

Patty has 10 onions, And has 500 watermelons and Ava has a banana

-2(n+3)=13 help plz plz plz

Answers

First move the -2 to the other side
Since it is multiplying the brackets we do the opposite and divide 13 by -2
We now have n+3=6.5
Now to get n as the subject we do the opposite of plus 3 so we minus 3 from the other side
So n=3.5

Answer:

n = -9.5 or n = -19/2

Step-by-step explanation:

Falisha spent 2/5 of her money on a bag. she gave 2/3 of the remaining amount to her sister. What fraction of her money was she left with?​

Answers

Answer:

1/5

Step-by-step explanation:

After spending 2/5 of her money on a bag, she has 3/5 of the original amount of money left. As she gave 2/3 of the remaining amount of money to her sister, she gave 2/5 of the original amount of money to her sister (3/5 × 2/3 = 2/5). Therefore, there's only 1/5 (1 - 2/5 - 2/5 = 1/5) of the original amount of money left in her bag.

I need help please do this for me

49 times 3 divided by 7 square it times 1/4 Add 3/4

Answers

Answer:

3/2 or 1.5 or 1 1/2

Step-by-step explanation:

g Based on data from the Garbage Project conducted by the Midwestern State University the weights of paper discarded by the households in a certain residential area weekly is Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb. Which value separates the top 2% of the weekly discarded paper weights in this area

Answers

Answer:

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.

This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]

Which value separates the top 2% of the weekly discarded paper weights in this area?

This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]

[tex]X - 7.95 = 2.054*3.12[/tex]

[tex]X = 14.36[/tex]

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

A cola container is in the shape of a right cylinder. The radius of the base is 4 centimeters, and the height is 12 centimeters. What is the volume of the container?


A. 225
B. 192
C. 136
D. 216

Answers

136 because it’s cola

Answer:

Step-by-step explanation:

Tanner is an 8th grader in Texas and wants to attend Stanford University after he graduates from
high school. Stanford is a private university and one year of tuition cost $46,320. He plans to attend
Stanford for four years and graduate with a bachelor's degree. His parents have committed to giving
him $8,000 each year towards tuition. Tanner plans to save for the next four years to prepare for the
cost. Determine the minimum amount of money he will need to save each month to pay for one year
of tuition.

Answers

Tanner will have to save $3,193.34 per month for 4 years to pay his tuition for Stanford.

Tanner's tuition over 4 years to get his Bachelor's degree all together will cost $185,280 (multiply 46,320×4). His parents will pay $32,000 (multiply 8,000×4) of his whole tuition. If we do the equation $185,280-$32,000 we get $153,280 which is what Tanner will have to pay. There are 48 months in 4 years. To find the answer you must solve the problem 48x= $153,280. To solve the problem divide both sides by 48. The answer to this equation is technically $3,193.3333333333 but for simplicity's sake we can round to $3,193.34. That is why the answer to this question is $3,193.34 per month of savings.

buna seara ce faceti eu sunt un om

Answers

Answer:

5

Step-by-step explanation:

Answer:

Sunt și bărbat, ești foarte înfiorător

Step-by-step explanation:

how many minutes are there in 12.5 hours​

Answers

Answer:

750 minutes

Step-by-step explanation:

there are 750 minutes in 12,5 hours hope that helps

Answer:

Everyone else is correct it's 750 minutes

the area of a 12-cm-wide rectangle is 288 cm^2 what is its length?

Answers

Answer:

24cm

Step-by-step explanation:

The area of the rectangle is length × breadth. You already know the area and the breadth, so you can find the length.

288cm² = length × 12cm

length = 288cm² ÷ 12cm

           = 24cm

Gary can paint a garage in 8 hours. Gary van do it in 6 hours. How long will it take if they all paint together?

Answers

The answer would be 2

Plss help me will mark brainliest

Answers

Answer:

45-degrees

Step-by-step explanation:

The triangle is a 90-degree triangle

Triangles = 180-degrees

90 + 45 + 45 = 180

the currency in sweden is the kronor. the exchange rate is approximately $1 for every 7 kronor. at this rate, how many dollars would you get if you exchanged 14 kronor?

Answers

Answer:

$2

Step-by-step explanation:

If $1 = 7 kronor, 2$ would = 14 kronor

We would get $2 if we exchanged 14 kronor a the given exchange rate.

What is Kronor?

Kronor is the currency of Sweden.

How much Kronor is one Dollar?

One dollar is the equivalent of 7 kronor.

It is given that $1 = 7 kronor. We have to multiply the entire equation by 2. If we multiply this by 2, we get:

$2= 14 kronor

Therefore we have found that we would get $2 if we exchanged 14 kronor a the given exchange rate of $1 for every 7 kronor.

Learn more about exchange rates here- https://brainly.com/question/1622216

#SPJ2

Allison Amy decide to meet from a party for my corner of the party hall any spots Alice at the corner of the hall diagonally opposite of her if the party hall is a rectangle that measures 100 feet by 60 feet what is the shortest distance they may have to walk to reach Alice round your answer to the nearest Foot​

Answers

Answer:

Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft.

Step-by-step explanation:

its already an explanation...

A football team received a gain of 12 yards on their first play of the game. Write an integer to
represent this situation?​

Answers

The photo has the answer!

Number 1 and solve please

Answers

ok.........................................

Help please, I'm stuck ​

Answers

Answer:

Z<-3 is the anwser to this question, good luck !

Multiply through by LCM, 4

[tex] \frac{ - 3z - 1}{2} \times 4 > \: \: \: \frac{4}{1} \times 4[/tex]

[tex]2( - 3z - 1) > 16[/tex]

[tex] - 6z - 2 > 16[/tex]

[tex] - 6z > 16 + 2[/tex]

[tex] - 6z > 18[/tex]

[tex] \frac{ - 6z}{ - 6} < \frac{18}{ - 6} [/tex]

[tex]z < - 3[/tex]

Can someone please help​

Answers

Answer:

12x+3x=15+6

15x=21

divide both sides by 15

x=7/5

Answer:

hey well use transposition method in this

so 12x-15=6-3x

so.12x+3x-15=6 (we transposed-3 to other side so it became +3)

15x-15=6

15x=6+15

15x=21

X=21/15

X= 1.4

I think I'm correct but if wrong pls don't report me just correct me so I can learn

13. In the given circle, AB = 13 m, BC = 6 m, and CD = 8 m. If DE = x, find the value
of x. (The figure is not drawn to scale.)
E
x
A
B
A. 13.25 m
B. 9.75 m
C. 6.25 m
D. 14.25 m

Answers

do you know what the answer was?

Which point shows a reflection of point X(9, -2) over the x-axis?

Answers

Answer:(9,2)

Step-by-step explanation:

HELP PLEASE DUE IN 3 MINUTES

Answers

Answer:

1/5

Step-by-step explanation:

3/5 * 1/3  ==  3/15 or 1/5

Answer:

1/3 I believe I could be wrong

Step-by-step explanation:

In ΔRST, s = 3.5 cm, r = 5.4 cm and ∠R=49°. Find all possible values of ∠S, to the nearest 10th of a degree.

Answers

Answer:

29.3

Step-by-step explanation:

Sin(49)/5.4 = Sin(S)/3.5

Cross multiply.

0.4891636168

Sin^-1(0.4891636168) = 29.28562335

Round to nearest tenth.

29.3

Liz deposited $2,000 into a savings account that pays 8% compounded quarterly. Complete the table to compute the amount in the account after 1 year

Answers

2000*1.02^4=2164.86

Thank you hope this helps

plzzz help will mark you brainliest

Answers

Answer:

C, y =8x

Step-by-step explanation:

As you can see from the table, y is basically x multiplied by 8 at all instances.

Answer: y=8x

Step-by-step explanation:

y=8x means that the number in the y column (the total cost) equals whatever is in the x column (number of tickets) times by 8. The reason you do times is because in algebra when a number is next to a letter it means times.

So, you can test it using the data in the table:

16=2×8

24=3×8

32=4×8 etc.

And we know it works.

Hope this helps :)

2/7 of students in a school are in 8th grade.

How many students are in the school if 40 of them are 8th graders?

Answers

Answer:

140

Step-by-step explanation:

First we would find the unit rate of students per seventh. So we would do 40 divided by 2 which gives us 20. So per 1/7 we have 20 students. Which we can then say 7 x 20 = 140. So in total there are 140 students

Hope this helped

We are formulating a 90% confidence interval for the population mean and would like our confidence interval to have a margin of error that is not larger than 3. Experience suggests that a reasonable estimate for the population standard deviation is 15. What minimum sample size should be anticipate using? (NOTE: Round your final answer up to the next whole number).

Answers

Answer:

A sample size of 68 should be anticipated using.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Experience suggests that a reasonable estimate for the population standard deviation is 15

This means that [tex]\sigma = 15[/tex]

What minimum sample size should be anticipate using?

Margin of error at most 3, which means that the sample size is n when M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.645*15[/tex]

Simplifying both sides by 3:

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up

A sample size of 68 should be anticipated using.

Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the
test? Round to the nearest tenth if necessary

Answers

Answer:

25 questions,

$18.75

Step-by-step explanation:

Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.

1. 84%, or 21 questions of Roy's test were correct.

Let's set the number of questions on the test as "x". We can then write this equation:

84% * x = 21

Simplify.

0.84 * x = 21

Divide both sides by 0.84

x = 25

There were 25 questions on the test.

2. Cheesecake Factory question

We need to find 15% of 125.

15% * 125 =

0.15 * 125 =

18.75

They need to leave a $18.75 tip.

I hope this helps! Feel free to ask any questions!

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
15
12

Answers

Answer:

x = 9

Step-by-step explanation:

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

[tex]a^{2} = 15^{2} - 12^{2}[/tex]

[tex]a^{2} = 225 - 144[/tex]

[tex]a^{2} = 81[/tex]

[tex]\sqrt{a^2} = \sqrt{81}[/tex]

[tex]a = 9[/tex]

Can someone please give me the answer I will mark u brilliant

Answers

it should be A: (3,-1)

Adalia has a cooler where the inside is in a shape of a rectangular prism. The inside of the cooler is 20 inches wide, 14 inches high, and 12 inches long. What is the volume in cubic inches of the inside of the cooler?
( will give brainliest if u help)

Answers

Answer:

A.

Step-by-step explanation:

took test

I think the answer is A
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