the numbers 1 to 9 are randomly arranged to form a 9-digit number. what is the probability that the number obtained is divisible by 18?
(please write the solution)

Answers

Answer 1

Answer:

Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444. or even 44.4%

Step-by-step explanation:

If we have 9 digits 1–9 placed randomly to form a 9-digit number without repetition and we want the probability of that number is divisible by 18, then we only need to look at the fact if it is divisible by 18, then it is also divisible by 2 and 9. Adding the digits 1–9 would give us the following (including checking for divisibility by 9):

(9 x 10)/2 =90/2 = 45

45÷9=5

By divisibility of 9, if the sum of the digits is divisible by 9, then the original number itself is divisible by 9. Since the number 45 is divisible by 9, we know that all the possible 9-digit numbers will be as well. The only thing we would have to look at is if it is even since the number has to be divisible by 2. 

There are 9 digits of which 4 are even (2, 4, 6 or 8).

So the probability that the number is divisible by 2 is 4/9.

Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444.


Related Questions

Find the measure of 48.
8
140°
40°
[?]

Answers

Answer:

40°

Step-by-step explanation:

Using corresponding angle rules

Answer plz:
Show work also

Answers

Answer:

height 10area 240

Step-by-step explanation:

The diagonal is the hypotenuse of the right triangle whose sides are the sides of the rectangle. The Pythagorean theorem applies.

  height² + base² = diagonal²

  height² +24² = 26²

  height² = 676 -576 = 100

  height = √100 = 10

__

The area is the product of the base and height.

  A = bh

  A = (24)(10) = 240

The height is 10 units; the area is 240 square units.

Please someone help, I want to know if I’m correct

Answers

Answer:

Yes youre correct

Step-by-step explanation:

Edward deposited $10,000 into a savings account 3 years ago. The simple interest rate is 4%. How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest = $_• • years

Answers

Answer: 10,400

Step-by-step explanation:

I=  ?        P=   10,000       R=   4%        T= 3 yrs

PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS
an arithmetic sequence has sixth term 15 and ninth term 16. Find its common difference. determine which term has value 22.

Answers

Answer:

The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

The nth term is:

aₙ = a + (n - 1)d

We have:

a₆ = 15a₉ = 16

The difference of these terms is:

(a + 8d) - (a + 5d) = 16 - 153d = 1d = 1/3

Then the first term is:

a + 5*1/3 = 15a = 15 - 5/3 = 13 1/3

The nth term equation is:

aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

If the nth term is 22, find n:

1/3n + 13 = 221/3n = 22 - 131/3n = 9n = 9*3n = 27

Which expression is equivalent to 5 EXPONENT 4 X5 EXPONENT NEGITIVE 4

Answers

Answer:

1

Step-by-step explanation:

5⁴ * 5 ⁻⁴ = 5⁴⁻⁴ =5⁰ =1

or

5⁴ * 5 ⁻⁴ = 5⁴ / 5⁴ =1

7. One serving of Ms. Scott's tomato soup is 0.75 cup. How many servings are in the 72-cup pot? 104.2. servings 10.42 servings 96 servings O 9.6 servings​

Answers

Answer:

96 Servings

Step-by-step explanation:

Divide the total 72 cups by the serving, 0.75 cup, which equals 96 servings

Answer:

96 servings

Step-by-step explanation:

Divide the total amount, 72 cups, by each serving, .75 cups, to get the amount of servings, 96.

[tex]\frac{72}{0.75} = 96[/tex]

School yearbooks were printed and the table shows the number of people who bought them the first, second, third, and fourth weeks after their release .which graph could represent the data shown in the table? Table and options below!


PLS HURRY!30 POINTS ANS BRAINLEST!

Answers

Answer: The correct graph that would depict the table correctly would be the first one listed. There is a sudden increase in the last day which would cause the graph to curve. Hope this helps you out! If you need anything else I'm here to help.

The function is an increasing function. The graph that represents the table will be A.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The table is given below.

Week     Number of sales

  1                    84

 2                   102

 3                   158

 4                   271

The slope at different will be given as,

m₁ = (102 - 84) / (2 - 1)

m₁ = 18

m₂ = (158 - 102) / (3 - 2)

m₂ = 56

m₃ = (271 - 158) / (4 - 1)

m₃ = 113

The capability is a rising capability. The diagram that addresses the table will be A.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Does the table represent a function? Why or why not?

Answers

Answer:

B

Step-by-step explanation:

A function is happens when each input only has one output. In this table 4 and 5 have the same output, therefore this is not a function.

1 Name the shapes that are being described. a I have three sides that are all the same length. I have three equal angles. Thave three lines of symmetry and rotational symmetry of order 5. b I have four sides. Thave one line of symmetry and rotational symmetry of order 1. Two of my angles are equal. I have two pairs of equal length sides' C I have six sides. All my sides are the same length. I have six lines of symmetry and rotational symmetry of order

Answers

Answer:

a. Equilateral triangle

b. Quadrilaterals

c. Hexagon

Step-by-step explanation:

the sum of two numbers is 68. the larger number is 14 more than the smaller number. what are the numbers?

Answers

Let the smaller number be x.Then, the larger number = x + 14Given, the sum of these two numbers is 68.Therefore, by the problemx + (x + 14) = 68or, 2x + 14 = 68or, 2x = 68 - 14or, 2x = 54or, x = 54 ÷ 2or, x = 27Therefore, the smaller number is 27.So, the larger number = (27 + 14) = 41

Answer:

The numbers are 27 and 41.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The numbers would be 41 and 27

Step-by-step explanation:

It would be 41 and 27 because the number we know is 64 so if you divide that by 2 you have 34 (34+34=68) and if you then take half of 14 (14 comes from this part of the question "the larger number is 14 more than the smaller number".) (14/2=7) 7 from one side and add it to the other side you get 41+27=68

(we can also fact check this because your smaller number 27 plus 14 equal 41, then and 41 plus 27 equals 68)

Will mark Brainliest
In questions 6 – 9, state the solutions for the quadratic equation depicted in the graph.

Answers

The solutions are where the quadratic is equal to 0, or when the quadratic crosses the x axis.

Where the quadratic crosses the x axis are the solutions:

6) x = –5, x = –6

7) x = 0, x = 1

8) x = –6, x = 1

9) x = –4, x = –3

please answer, click on file, thank you ​

Answers

Answer:

3x²

im lazy to solve right now

hope it helps

Answer:

Step-by-step explanation:

half of the circle is 180 degrees

so x + 3x = 180

4x = 180

x = 45

It takes 2 ½ spoons of chocolate to make ⅗ gallon of chocolate milk. How many spoons of chocolate would it take to make 1 gallon of chocolate milk?

Answers

Answer:

5 spoons

Step-by-step explanation:

2 1/2 +2 1/2=5

so the answer would be: it takes 5 spoons to make a gallon of chocolate milk

PLEASE HELP ME WITH THIS I WILL MARK BRAIINLIST!!

Answers

Answer:

10

Step-by-step explanation:

First solve for x. HI = 2x, IJ = 4x - 10, and the whole length HJ = 4x.

So 2x + 4x - 10 = 4x.

6x - 10 = 4x

6x - 4x - 10 = 4x - 4x

2x - 10 = 0

2x - 10 + 10 = 0 + 10

2x = 10

x = 5.

IJ is 4x - 10, so it becomes 4(5) - 10

20 - 10 = 10

answer pls:)))))))).

Answers

(5√5)(5√15)
25√75
125√3

HELPPPPPPPPP!!! THIS IS DUE SOON!!!!!!!

Answers

I think it is 2/3X - 44
Hope this helps

Hello there, you are asking us to distribute [tex]\frac{2}{3}(x-66)[/tex], which can also be phrased as [tex](x\cdot\frac{2}{3})-(66\cdot\frac{2}{3})[/tex], complete what's in the parenthesis, and we get [tex]\frac{2}{3} x-44[/tex] as our answer,

Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Marla earns an 8% commission on a house that she sells for $450,000. How 1 point
much does she earn in commission for this sale?”

Answers

Answer:

$36,000

Step-by-step explanation:

8% of $450,000 = $36,000

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? 36 characters 144 characters 360 characters 432 characters.

Answers

Answer:

  432 characters

Step-by-step explanation:

There are 36 inches in a yard, so there will be 36 times 12 characters:

  (36 in/yd)(12 char/in) = 432 char/yd

432 characters can be expected per yard of text.

To sign up for cable service, you must purchase the DVR recorder
upfront, then pay $19.95 per month for service. Eight months
after signing up, Martha had paid a total of $288.60 for the
recorder and service. Write and solve a linear equation to find
the total amount she will have paid for the 2-year agreement she
signed.

Answers

The answer is 19.95x+2y=288.60
I’m not 100% sure

why is root 3 not 1.5

like a square of 3m2

wouldn't both sides have 1.5

1.5x1.5 = 3 ?

So why is root 3 =1.73...​

Answers

Because 1.5 * 1.5 is 2.25 not 3 1.5 * 2 is 3

5. What is 75% of 50?

Answers

Answer:

37.5

Step-by-step explanation:

multiply 50 by .75

same as

50/4=12.5+25=37.5

What is 6 x 3/6 Draw a model of your choice to help you solve.

Answers

6 x 3/6

Multiply the numerator of 3/6 with 6

18/6

Then simplify

3

Hope this helps!
Brainliest is much appreciated!

Answer:

3

Step-by-step explanation:

6×3/6 (the / means ÷)

(6×3) ÷6

18 ÷6

=3

2x − 4y = -4 , 3x + 2y = 22 solve the system by elimination.

Answers

Answer: 5, 7/2

Step-by-step explanation:

2x − 4y = -4

3x + 2y = 22

divide both sides of the equation by 2

 x − 2y = -2

3x + 2y = 22

Eliminate one variable by adding the equation;  sum the equations vertically to eliminate at least one variable

4x=20

Divides both sides by 4

x=5

Substitute  the given value of x into the equation 2x-4y = -4

2*5-4y =-4

solve the equation for y

y=7/2

What is the reciprocal of 64?

Answers

1/64
0.015625 in decimal form
a reciprocal is the 1/whatever the number is
The reciprocal of 64 is 0.015625

12. The area of the flower garden is 9.7 square meters

greater than the herb garden. What is the area of the

flower garden?

Answers

Answer:

F = H + 9.7 m^2

Step-by-step explanation:

Let F be the area of the Flower garden and H the area of the Herb garden.

F = H + 9.7 m^2

There is no area or information given on the Herb garden, so this is the best we can say.

a/m = b + c i need to make “a” the subject of the formula

Answers

a = bm + cm

hope it helped !

The slope of the line below is - Write a point-slope equation of the line
using the coordinates of the labeled point.
(4,4)
10
A. y+ 4 = (x+4)
O B. y+4= - (x + 4)
O C. y 4 = (x - 4)
OD. y-4 = -(x-4)

Answers

Answer:

D.

Step-by-step explanation:

pint slope form:

(y-y1)=m(x-x1)

do just olug in the point and the slope into the equation

(y-4)= -8/7 (x-4)

help!!!!

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
10
10
(7.-2)
10
6
09
(-3,-8)
10
-10

Answers

Answer:  3/5

This is equivalent to 0.6 in decimal form

=====================================================

Explanation:

To find the slope, divide the rise over run

rise = change in y = how far to move up or downrun = change in x = how far to move to the right

In this case, we have:

rise = 6run = 10

Therefore,

slope = rise/run = 6/10 = 3/5 = 0.6

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, the points are (-3, -8) and (7, -2). Then the slope of the line is calculated as,

m = (- 8 + 2) / (- 3 - 7)

m = 6 / 10

m = 3/5

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ7

What is the answer
(x+8)+4x=(7x-16)

Answers

[tex](x+8)+4x = 7x -16\\\\\implies 5x +8 = 7x -16\\\\\implies 7x -5x = 8+16 \\\\\implies 2x = 24\\\\\implies x = \dfrac{24}2\\\\\implies x= 12[/tex]

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