What proportion of the first 10,000 natural numbers contain a 3

Answers

Answer 1
Answer:

we know that

It is much easier to compute the number of numbers that do not contain a 3.

In the first 10 numbers 9 do not contain a 3.

In the first 100 numbers 81 do not contain a 3. (This is because these numbers are formed by selecting a digit out of

[0, 1, 2, 4, 5, 6, 7, 8, 9] for the first position and another digit out of the same set for the last position and this may be done in

9*9 = 81 ways.

In the first 1000 numbers, reasoning as above, there are

9^(3) numbers that do not contain a 3.

Now the pattern should be becoming obvious.

In the first 10^(n) numbers there are 9^(n) numbers that do not contain a 3.

So

In the first 10^(4) numbers there are 9^(4) numbers that do not contain a 3.

9^(4)= 6,561

10,000- 6,561= 3,439

Thus

the ratio of those numbers that do contain a 3 over the total is equal to

Ratio=(3,439)/(10,000) \n \n Ratio=0.3439

therefore

the answer is

0.3439

Answer 2
Answer: In the first 10 -> 10 - 9 = 1 (contain a 3).
In the first 100 -> 100 - 9 * 9 = 19 (contain a 3).
In the first 10^n -> 10^n - 9^n  (contain a 3).


So for 10^4 -> 10^4 - 9^4 = 10.000 - 6.561 = 3.439

The answer is 3.439 numbers contain a 3 in the first 10.000


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Answers

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Be well.

Two equations are given below:a − 3b = 16
a = b − 2

What is the solution to the set of equations in the form (a, b)?

(−2, −6)

(−7, −9)

(−11, −9)

(−12, −10)

Answers

\left \{ {{a - 3b = 16} \atop {a = b - 2}} \right. \n \n \left \{ {{a = 16 + 3b} \atop { 16 + 3b = b - 2}} \right. \n \n \left \{ {{a = 16 + 3b} \atop {3b - b = - 2 - 16}} \right. \n \n \left \{ {{a =16 + 3b} \atop {2b = -18}} \right. \n \n \left \{ {{a=16 + 3b} \atop {b=-9}} \right. \n \n \left \{ {{a=16 + 3b = 16 + 3*(-9) = 16 - 27 = -11} \atop {b=-9}} \right.

Answer a = -11, b = -9

Answer:

third one

Step-by-step explanation:

8 1/2 is an example of an improper fraction.
true or false?

Answers

It is false!!! 8 1/2 is a mixed number!! when they have a whole number in front of it such as 8, or etc. and also. fraction... it's. mixed fraction! an improper fraction is like 57/4!! a big number over a smaller number!

Whats is a thousode divided by 32

Answers

Answer:

31.25

Step-by-step explanation:

Answer:

31.25 is right.

Step-by-step explanation:

Numero que multiplicado por si mismo de 50

Answers

El número que multiplicado por sí mismo da 50 es aproximadamente 7,071.

Answer:

7,071

Step-by-step explanation:

Hii pls help i’ll give brainliest if you give a correct answer tysm

Answers

Answer:

Equations ; 1, 3 , 5 and 6 are correct

Step-by-step explanation:

From the question, we are told that 2 1/2 feet is 5/8 of the height of the tower to be built

Now, we want to get the equation for the height of the tower

we have this as follows;

since we do not know the height of the tower, we can represent it by ?

a. 5/8 of ? = 2 1/2

b. 2 1/2 divided by ? = 5/8

c. 2 1/2 • 8/5 = ?

d. 2 1/2 divided by 5/8 = ?