eratosthenes estimated the circumference of the earth as 250,000 stadia (the length of an athletic stadium). if we assume he used the most common length of stadia of his time, his estimate of the circumference of the Earth would be 46,620 km. Currently, the accepted average circumference of the Earth is 40,030.3 km. Find the percentage error of Eratosthenes' estimate of the circumference of the Earth

Answers

Answer 1

Answer: 16.5%

Step-by-step explanation:

given data:

estimated circumfrence of the earth = 250,000 stadia.

Actual value = 46,620km

expected Value = 40,030.3km

solution:

percentage error = actual value – expected value/ expected value * 100

= 46,620 – 40,030.3 / 40,030.3 * 100

= 6589.7 / 40,030.3 * 100

= 0.16462 * 100

= 16.5%

percentage error is 16.5%


Related Questions

The points (7,1) and (x, -4) lie on the same line. If the slope of the line is 1, what is the value of x?

Answers

Answer:

-2

Step-by-step explanation:

Find each product. Then determine which conclusion can be drawn based on the results.
√2•√2
√5•√7
√ 2•18
√2•√6
A. The product of two irrational numbers is always rational.
B. The product of two irrational numbers can be rational or irrational.
C. The product of two irrational numbers is always irrational.
D. The product of two irrational numbers cannot be determined.

Answers

Answer:

B. The product of two irrational numbers can be rational or irrational.

Step-by-step explanation:

An irrational number is a number that is real and it cannot be written or expressed as a fraction.

For example , 2√3, √5 are irrational numbers.

A rational number is a number that is real and can be expressed as a fraction. It is a whole number. For example: 5, 7 are rational numbers

In the above question, we are a pair of rational and irrational number, 2 irrational numbers and we are asked to draw conclusions from their product

a) √2•√2 = √2 × √2 = √4 = 2 = rational number

b) √5•√7 = √5 × √7 = √35 = Irrational number

c) √2•18 = √2 × 18 = 18√2 = Irrational number

d) √2•√6 = √2 × √6 = √12 = Irrational number.

My conclusion from the above results is option B, which states that

B. The product of two irrational numbers can be rational or irrational.

-J=34

Help please please ​

Answers

the answer is -34
this is because you multiple both sides by -1 and that would make 34 negative and -j positive

Answer:

-34

Step-by-step explanation:

Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present. a) t>20 b) t<20 c) 20 less than or equal to t d) t less than or equal to 20​

Answers

Answer:

get help by a tutor

Step-by-step explanation:

PLEASE HELP FAST! ITS EASY! WILL GIVE BRAINLIEST!
Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 m/h. What is this speed in km/h and km/min?

1 mile = 1.61 kilometers

1 hour = 60 minutes

Round your answers to the nearest tenth. The speed is equivalent to
( ) km/h,

or ( ) km/min

Answers

Answer:

160 kilometers per hour

9560 kilometers per minute

Answer:

Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.

-Step by Step-:

-The speed of the car is given as  99 mi/hour.

Now, WE know that 1 Mile = 1.61 KM

Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.

⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour

Also, 1 hour = 60 minutes

⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min

Pls do this quickly
Thank you

Answers

Answer:

288 cu in

Step-by-step explanation:

The Two end pieces

l = 6

w = 4

h = 4

V = l*w*h

V = 6*4*4

V = 96

But there are two end pieces. So the volume for both is 2 * 96 = 192

Middle Piece

L = 8

w = 4

h = 3

Volume = l * w * h

Volume = 8 * 4 * 3

Volume = 96

Total Volume

Total Volume = 96 + 192

Total Volume = 288 Cu in

Will give brainliest answer

Answers

Answer: (-3 , 6)

dhtyjmkuhluyjtefey

1) 13 + 3W - 9 + 16w

Answers

Answer:

4+19W

Step-by-step explanation:

You would just simplify the terms, 13-9=4 and 3W+16W=19W

Answer:

4+19w

Step-by-step explanation:

Combine all like-terms. So, do 13-9, which gives you 4. Then, combine 3w and 16w, which gives you 19w. Therefore, the answer is 4+19w. Hope this helped!

A restaurant used 8.4 ounces of cheese to make 4 slices of pizza. If each slice had the same amount of cheese, how much cheese was on each slice?

Answers

2.1 ounces were on each slice
2.1 ounces of cheese on each slice

Explanation:
8.4 / 4 = 2.1

6(42 +3)+5(22 +5) +5 = 34 + 48

Answers

Answer:

22+5=27 42+3=45+5=50(27+5)=32 34+8=42 332+42=374.

Step-by-step explanation:you have to do the ones that are in perenthesis.

The first step in setting financial goals is

Answers

Answer:

step #1: Set Realistic and Achievable Goals

Step-by-step explanation:

Answer:

See what matters to you.

Step-by-step explanation:

You need to know what you want in order to know what to set goals on. You need to write down everythig while doing this.

HOPE IT HELPED

ferds basement is flooded. the basement is 3.4 metes below the ground floor the water is 1.2 meters high

Answers

Answer:

The untouched space in the basement is the upper 2.2 meters.

Step-by-step explanation:

Find the average rate of change of g ( x ) = 5 x 3 + 4 from x = − 1 to x = 3

Answers

Answer:

Go to symbolab.com, online calculator, so good trust me

Step-by-step explanation:

The average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.

What is average rate of change of function?

"It is a measure of how much the function changed per unit, on average, over that interval."

What is the formula average rate of change of function?

The average rate of change of function f over the interval a ≤ x ≤ b, is given by this expression: [tex]\frac{f(b)-f(a)}{b-a}[/tex]

For given question,

We have been given a function [tex]g ( x ) = 5 x^3 + 4[/tex]

We need to find the average rate of change of function g(x) from x = − 1 to x = 3

Here, a = -1 and b = 3

[tex]g(a)\\= g(-1)\\=5(-1)^3+4\\=-5+4\\=-1[/tex]

and the value of g(b) is,

[tex]g(b)\\=g(3)\\=5(3)^3+4\\=135+4\\=139[/tex]

Using the formula of average rate of change of function,

[tex]\frac{f(b)-f(a)}{b-a}\\\\=\frac{139-(-1)}{3-(-1)}\\\\=\frac{140}{4}\\\\=35[/tex]

Therefore, the average rate of change of [tex]g ( x ) = 5 x^3 + 4[/tex] from x = − 1 to x = 3 is 35.

Learn more about average rate of change of function here:

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Jada can read 3/5 of a book in 1/4 of an hour. How long would it take her to read one whole
book?

Answers

Answer:

25 Minutes

Step-by-step explanation:

Well, 1/4 of an hour is obviously 15 minutes. So if she read 3/5 of the book in 15 minutes, you have to find how long it took her to read 1/5 of the book. If 15 minutes is 3/5, then 15/3 is 5, which is the time it took to read 1/5 of the book. You add 10 to 15 and you get 25. I hope this helps!

If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book

Time taken to read 3/5 of the book = 1/4 hours

To get the time taken to read 1 book, we will divide 1/4 hours by 3/5

Time taken to read 1 book = [tex]\frac{1}{4}\div \frac{3}{5}[/tex]

The division sign changes to multiplication  and 3/5 is changed to its reciprocal (5/3)

Time taken to read 1 book = [tex]\frac{1}{4}\times\frac{5}{3}[/tex]

Time taken to read 1 book = [tex]\frac{5}{12}[/tex]

If Jada can read 3/5 of a book in 1/4 of an hour, it will take her 5/12 of an hour to read one whole book

Learn more here: https://brainly.com/question/17478879

If a = 2, b = -3 and c = -4, evaluate |a - 5| - 1

Answers

Answer:

2

Step-by-step explanation:

the absolute value of a-5 is 3, 3-1 is 2

Answer:

2

Step-by-step explanation:

1) I a - 5 I = 3 because -2 - 5 equals -3, but the absolute value of -3 is 3.

2) 3 - 1 = 2

Hope this helps!

/5/= can someone please explain this?

Answers

Answer: / = divided by

Step-by-step explanation:

One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number of sterile males that mate with fertile females but produce no offspring. Let P represent the number of female insects in a population and S the number of sterile males introduced each generation. Let r be the per capita rate of production of females by females, provided their chosen mate is not sterile. Then the female population is related to time t by

Answers

Answer:

P + S / P [(r - 1) P - S] dP

Step-by-step explanation:

If r = 0.10 and S = 900 then,

P + 900 /  P [(0.10 - 1) P - 900] dP

Solving the equation we get,

P + 900 = (B - 0.9A)P - 900A

If A = -1,

B = 0.10

t = 0 and P = 10,000

ln 10000 - 1 /9 ln (0.9 * 10000 + 900) + C

C = 10.2326.

in geometry I need to know and find the x-Find the value of x

Answers

Answer:

x = 22

Step-by-step explanation:

Degree of measure of a line: 180°

Step 1: Set up equation

5x + 6 + 3x - 2 = 180

Step 2: Solve for x

8x + 6 - 2 = 180

8x + 4 = 180

8x = 176

x = 22

22 - [1/2 • (5 x 4) + 4]​

Answers

8 because you do the multiplication which is 20 and multiply 20 by 1/2 which is 10 then add 4 which is 14. then 22-14 is 8.

I forgot how to set up 9x+3<21​

Answers

Answer:

Easy as pie:9x+3<21=11x<21.

This means 11x<21. Eleven x is less than 21.

Which is true.

I dont understand this question.​

Answers

Add them all together and you should get the answer

combine liked terms the 7 and 2 y3. and then arrange them in exponential order

-2x – 4 + 5x = 8 steps to solve

Answers

Answer:

x = 4

Step-by-step explanation:

[tex] - 2x - 4 + 5x = 8[/tex]

Step 1: Collect like terms and simplify

[tex] - 2x + 5x = 8 + 4 \\ 3x = 12[/tex]

Step 2: Divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{12}{3} [/tex]

Simplify

[tex]x = 4[/tex]

Answer:

x=4

Step-by-step explanation:

What’s the correct answer please help

Answers

Answer:

I THINK its 60

Step-by-step explanation:

Select the story problem that this division problem represent 1/2 2/5

Answers

Answer:

12 is the correct answer of the question

What is the absolute value of -2 2/3 as a mixed number in simplest form

Answers

Answer:

2 2/3

Step-by-step explanation:

1) First, find the absolute value of -2 2/3. The absolute value is 2 2/3.

2) Next, convert 2 2/3 to an improper fraction because we want to find the simplest form. The improper fraction is 8/3.

3) Finally, 8/3 cannot be reduced any further, so the answer is 2 2/3.

Hope this helps!

The absolute value is denoted by |x|.

Any negative value put in absolute becomes positive.

The absolute value of [tex]-2\frac{2}{3}[/tex] as a mixed number in its simplest form is [tex]2\frac{2}{3}[/tex].

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]-2\frac{2}{3}[/tex]

We have to write its absolute value.

The absolute value is denoted by |x|.

Any negative value put in absolute becomes positive.

Example:

|-1| = 1

|1| = 1

|-2| = 2

Now,

| [tex]-2\frac{2}{3}[/tex] | = [tex]2\frac{2}{3}[/tex]

This is in its simplest form.

Thus,

The absolute value of [tex]-2\frac{2}{3}[/tex] as a mixed number in its simplest form is [tex]2\frac{2}{3}[/tex].

Learn more about expressions here:

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Evaluate (-32)^-4/5 . Do not leave any exponents in your answer.

Answers

Answer:

1/16

Step-by-step explanation:

(-32)^-4/5 =(-2^5)^-4/5 =(-2)^-(5*4/5) =(-2)^ -4=16^-1=1/16

Satara was having fun playing poker. She needed the next two cards dealt to be hearts so she could make a flush (five cards of the same suit). There are 10 cards left in the deck, and three are hearts. What is the probability that the two cards dealt to Satara (without replacement) will both be hearts? Answer choices are in percentage format, rounded to the nearest whole number.

Answers

Answer:

7%

Step-by-step explanation:

Given the following :

Total Number of cards left in deck = 10

Number of hearts left in deck = 3

Probability = (required outcome / Total possible outcomes)

Required outcome = hearts card in deck

Two cards are to be dealt to Satara without replacement :

Probability of 1st card being hearts :

P(1st card being hearts) = required outcome / Total possible outcomes

P(1st card being hearts) = 3 / 10

Probability of 2nd card being hearts :

Since it is without replacement :

Required outcome = (3 - 1). = 2

Total possible outcomes = (10 - 1) = 9

P(2nd card being hearts) = 2 /9

Probability of the two cards being hearts :

(3 / 10 × 2/9) = 6 /90 = 0.0666

0.06666 × 100% = 6.66%

= 7% (nearest whole number)

(C) It passes through the points (0,5) and (1,8).

Answers

Answer:

Step-by-step explanation:

(8-5)/(1-0) = 3/1 = 3

y - 5 = 3(x -0)

y -5 = 3x - 0

y = 3x + 5

Mark is trying to raise money for his school. His goal is to raise $400. His mom gave him $30, and he sells candy bars for $1.75 a piece to raise the money. he sells on average about 45 candy bars a day. How many candy bars will mark have to sell and about how many days will it take to reach his goal?

Answers

Answer: It will take 5 days to reach his goal

Step-by-step explanation:

How I got 5 days was if you do

1.75 x 45 = 78.75

SO you add 30.oo his mom gave his and 78.75

keep add 78.75 intill

you may go over bugget.

I went over my work on a caculator

and I got 423.75

Let me know if you get something different or I did something wrong.

Sergio is working on a research project involving the ages of students at Brooklyn College. After interviewing 500 students, he has determined that the average age of a Brooklyn College student is 20 years and 6 months. He has further determined that the range of ages of the students on campus follows a normal distribution with a standard deviation of 2 years. What is the probability of a randomly chosen student being exactly 21 years old

Answers

Answer:

The probability of of a randomly chosen student being exactly 21 years old.

= 1.293

Step-by-step explanation:

Step(i):-

Given Population  size n = 500

Mean of the Population = 20 years and 6 months

                                       = [tex]20 + \frac{6}{12} = 20 +0.5 = 20.5 years[/tex]

Standard deviation of the Population = 2 years

Let 'X' be the range of ages of the students on campus follows a normal distribution

Let   x =21

            [tex]Z = \frac{x-mean}{S.D}[/tex]

            [tex]Z = \frac{x-mean}{S.D} = \frac{21-20.6}{2} =0.2[/tex]

The probability of a randomly chosen student being exactly 21 years old.

P( Z≤21) =  0.5 + A( 0.2)

            = 0.5 +0.793

           =  1.293

           

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