The Wikipedia article on the length of dictionaries suggests there are 171,476 unique words in the English language. How many unique books are possible of length 0, 1, 2, 3, ..., k? Assuming we have a team of 1 billion very fast typists who each write unique books 1 billion times per second, rounded up to the nearest million years, how long will it take this team to write all possible texts of 6 or fewer words?

Answers

Answer 1

Answer:

806 million years

Step-by-step explanation:

From the information given:

Firstly, we need to determine the no. of ways we can choose n many words in the dictionary & array them in [tex](^{171476}_{n}) * n![/tex] ways.

Thus, the no. of unique books possible of length till K is:

[tex]\sum \limits^k _{n=0} ( ^{171476}_{n}) * n! \\ \\ = \sum \limits ^k_{n=0} \dfrac{171476!}{(171476-n)!}[/tex]

where K = 6, we have the value to be:

= 25420530373932821216635722990977

Thus, the time required to write all possible texts of 6 is:

=  (25420530373932821216635722990977)/10⁶

806 million years.


Related Questions

Leon took a total of 12 quizzes over the course of 2 weeks. How many weeks of school will Leon have to attend this quarter before he will have taken a total of 36 quizzes? Solve using unit rates.

Answers

Answer:

6 weeks.

Step-by-step explanation: Because if he answered 12 quizzes in 2 weeks then 12 times 3 equals 36 so then all you have to do is times the weeks by 3.

(CO 4) In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a standard deviation of 0.09 ounces. Find the 92% confidence interval.

Answers

Answer:

92% Confidence Interval = [8.515, 8.605]

Step-by-step explanation:

The number of samples given is 15,this less than 30, hence, we use the t score confidence Interval

= Mean ± t score × Standard deviation/√n

Mean = 8.56 ounces

Standard deviation = 0.09 ounces

n = 15

We find the degrees of freedom = n - 1

= 15 - 1 = 14

Using the T score table

T score for 92% confidence interval with degrees of freedom 14

= 1.8875

Hence:

Confidence Interval =

= 8.56 ± 1.8875 × 0.09/√15

= 8.56 ± 0.0454010035

Confidence Interval

8.56 - 0.0454010035

= 8.5145989965

≈ 8.515

8.56 + 0.0454010035

= 8.6054010035

≈ 8.605

92% Confidence Interval = [8.515, 8.605]

please help!! i need this badly please!!

Answers

Answer:

The balance is much more precise than it is accurate. All answers are very close to eachother, making it precise, but the weight is off by about 5 grams every time, making it not very accurate.

Step-by-step explanation:

write a pseudocode to calculate the volume of a cylinder​

Answers

Step-by-step explanation:

Equation of cylinder: h*pi*r^2

The equation for a cylinder is base times height where the base is a circle of area calculated by pi*r^2. I hope this helps! :)

Thank you so very much

Answers

Answer:

i think the first on means 1/3 is equal to 3

Step-by-step explanation:

second one i think is 2

if i get it rong pls dont be mad

Please help! This is due soon!

Hugo drew a right triangle that has a hypotenuse of 25 cm and a leg of 7 cm. What is the length of the other leg?

Answers

Answer:

x=24

Step-by-step explanation:

Use Pythagorean Theorem to solve for x.

7^2+x^2=25^2

49+x^2=625

-49       - 49

x^2=576

sqrt sqrt

x=24

IT'S 32 BECAUSE ALL YOU HAFTA DO US ADD.

I'm on a test and I need help, the question asks, "What's the slope of the table?"

Answers

Answer:

wym..theres no table

Step-by-step explanation:

Answer:

3.25

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

how long can a go-kart travel on 6 gallon of gas

Answers

A go-kart can go 236 miles for 6 gallons of gas

Plzzzzz help right answer gets a brainly!

Answers

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]\frac{25}{35}[/tex] (divide numerator and denominator by 5)

[tex]\frac{5}{7}[/tex]

Answer:

5/7

Step-by-step explanation:

Divide the numerator and the denominator by the Greatest Common Factor, which is 5.


PLEASE HELP ASAP!!!

Which of the following statements have the same result? Explain each step in solving each one.
1. f(2) when f(x) = 4x + 2
II. (2) when f(x) = 2x-4/5
III. 2y + 11 = 3y + 1
10 points)

Answers

Answer:

1.)10  2.)0  3.)10

Step-by-step explanation:

1.) 4 (2) = 8 + 2 = 10

2.) 2(2) - 4/5 = 0

3.)2y + 11/-11 = +3y/-3y +1

2y - 3y = 1 - 11

-1y/-1 = -10/-1 = 10

Annie spent $143.89 at Kohls and there is a 6.25% sales tax. What will she pay in sales tax and
what is the total purchase price?

Answers

Answer:

net amount 143 89 tax 6.25 % which is $8.99 gross amount is $152.88

What is the surface area of the pyramid 6 inches height 8 inches length 8 inches width

Answers

Answer:

384

Step-by-step explanation:

Formula:Length x Width x Hight

6x8=48 48x8=384

Have a good day!


2.3 x 10^4 x 6.7 x 10^3 divide by
5 x 10-^8

Answers

Answer:

0.3082

Step-by-step explanation:

PLEASE HELP ME !! 100 POINTS

Answers

Answer: i cant read that could you type it out

Step-by-step explanation:

Answer:

can't even see the text, man

Step-by-step explanation:

To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
the equation by which of the following numbers?
6, 10, 16, 30

6 or 10
16 or 30
30 only
6, 10, or 30

Answers

Answer:

6,10,or 30 is your answer

Janet can make 4/5 of a necklace in 20 minutes at this straight how many necklaces to the nearest 10th of a necklace can Janet make in one hour.

Please help

Answers

12/15 i hope this helps , 20 goes into one hour 3 times so i multiplied 4/5 x 3

HELP! i'll mark you brainliest . find y

Answers

Answer: Thanks for points by the way what grade are you in ???

Step-by-step explanation:

Estimate the slope of the tangent line to the curve f(x) = x2 at the point (1, f(1)) by examining the trend in the secant slopes calculated.

Answers

Answer:

f'(1) = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Calculus

The definition of a derivative is the slope of the tangent line.

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

f(x) = x²

Point (1, f(1))

Step 2: Differentiate

Basic Power Rule:                     f'(x) = 2 · x²⁻¹Simplify:                                     f'(x) = 2x

Step 3: Find Slope

Use the point (1, f(1)) to find the instantaneous slope

Substitute in x:                        f'(1) = 2(1)Multiply:                                   f'(1) = 2

This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)

Write two equivalent fractions for the perimeter of this rectangle. (not sure if this helps but the perimeter is 18 I'm pretty sure)

Answers

Answer:

Step-by-step explanation:

perimeter P= 2(L+W)

P =2(x-2+5)=2(x+3)=2x+6P=2L+2W=2(x-2)+2(5)=2x-4=10=2x+6these are 2 equivalent fractions for the perimeter

what is 3 1/3 *2/3?​

Answers

Answer:2 2/9

Step-by-step explanation:

3 1/3= 10/3, 10/3 x 2/3= 20/9= 2 2/9

Answer:

2.2222222

Step-by-step explanation:

Use a calculator

Which of the following is a perfect square trinomial?
O A. 25x2 - 30xy +9y2
O B. 25x2 + 16xy - 9y2
O C. 25x2 - 16xy + 9y2
O D. 25x2 + 30 xy - 9y2
What is the answer I can’t find it

Answers

Answer:A

Step-by-step explanation:

Arrange the numbers in order from least to greatest.
− 3 , 2, -1.5, 2 , 2 10 510

Answers

-3, -1.5, 2, 2, 2, 5, 10

Write the center and radius of a circle with the equation: x^2+8x+y^2-24y+144=0

Answers

Answer:

It's D!

Step-by-step explanation:

In a class of 888, there are 333 students who have done their homework. If the teacher chooses 222 students, what is the probability that both of them have done their homework?

Answers

555 of the students haven’t did there work

Answer:

3/28

Step-by-step explanation:

3/8 * 2/7 = 6/56 = 3/28

What's the center of a circle whose equation is (x – 14)2 + (y + 21)2 = 64?
Question 19 options:


1)
(–14, –21)


2)
(14, –21)


3)
(–14, 21)


4)
(14, 21)

Answers

Answer:

The center of the circle is:

[tex]\left(a,\:b\right)=\left(14,\:-21\right)[/tex]

Thus, option (2) is true.

Step-by-step explanation:

The circle equation is given by

[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]

here,

r =  raduiscenter = (a, b)

Given the equation

[tex]\left(x-14\right)^2+\left(y+21\right)^2=64[/tex]

[tex]\mathrm{Rewrite}\:\left(x-14\right)^2+\left(y+21\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]

[tex]\left(x-14\right)^2+\left(y-\left(-21\right)\right)^2=8^2[/tex]

comparing with the circle equation

[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]

Therefore, the center of the circle is:

[tex]\left(a,\:b\right)=\left(14,\:-21\right)[/tex]

Thus, option (2) is true.

Need help with this!!

Answers

Answer:

Step-by-step explanation:

i have never done that:(

Find the unit rate for number of parts manufactured per hour if 1620 parts are made in 6 hours.

Answers

Answer:

270 parts per hour

Step-by-step explanation:

given

we are told that 1620 parts are manufactured in 6 hours.

Required

Unit rate.

The unit rate in this context is defined as the number of parts that can be manufactured in one hour

Step two:

To find the unit rate, we have to divide the total parts manufactured by the total time taken

unit rate= 1620/6

unit rate= 270 parts per hour

can you please help me with this question and whoever gives me the right answer will be called brainliest ​

Answers

Answer:

! 2 red cards !

Step-by-step explanation:

Sia draws blue cards for each of her 3 turns: 4 • 3= 12

Sia draws red cards and ends up back at 0: 6 • 2 = 12

12 - 12 = 0

Sia drew 2 red cards since 6 • 2 = 12.

PLEASE SOMEONE HELP ME THIS IS DUE IN 4 MINUTES I NEED TO FINISH IT OR I FAIL

Answers

Answer:

rounded is about 70%

Step-by-step explanation:

Find the unit rate in yards per hour. 750 yards in 1/4 hour.

Answers

750 * 4 = 3,000
3,000 yards per hour
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