A bag contains 9 tiles, each with a different number from 1 - 9. You chose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order?

Someone pls explain this. I know the answer is 1/504 but how do you get there?

Answers

Answer 1

The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation and is equal to 1/504.

What are permutations?

Permutations refer to the arrangements of objects in certain order or way.

The number of alternative arrangements in a set can be calculated mathematically using a permutation where the order of the configurations is important.

The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation.

The probability is obtained as 1 / ₉P₃

where;

₉P₃ = 9! / (9 - 3)!

₉P₃ = 9! / 6!

9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

6! = 6 * 5 * 4 * 3 * 2 * 1

₉P₃ = 504

Hence, the probability = 1/504

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Related Questions

Find RS, WILL GIVE BRAINLIEST!!!! Due Today!

Answers

Answer:

RS = 6

Step-by-step explanation:

RS² = SU*ST (secant-tangent rule)

Substitute

(x + 6)² = (x + 4 + 5)(x + 4)

(x + 6)(x + 6) = (x + 9)(x + 4)

x(x + 6) +6(x + 6) = x(x + 4) + 9(x + 4)

x² + 6x + 6x + 36 = x² + 4x + 9x + 36

x² + 12x + 36 = x² + 13x + 36

Collect like terms

x² - x² + 12x - 13x = -36 + 36

-x = 0

x = 0

✔️RS = x + 6

Plug in the value of x

RS = 0 + 6

RS = 6

2 copies of 1/10 write fraction for each statement

Answers

2 copies of 1/10 can be written as 2/10

What is a fraction?

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here 2 copies of 1/10 thus 2×1/10=2/10

                                                                =1/5

Hence, 2 copies of 1/10 can be written as 2/10

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Jeffrey left 4/7 of his estate to his wife and 1/4 of the remainder to his granddaughter.The part of his estate that is not accountefor .given as a fraction is?​

Answers

1 - 4/7 - 1/4
1 - 16/24 - 7/24
24/24 - 16/24 - 7/24
24 - 16 - 7 = 1
1/24

What are the exact values of a and b?

CORRECT ANSWER

WITH EXPLANATION

Answers

Step-by-step explanation:

TRY WITH SOME Trigonometric FUNCTION.

IF SOMETHING IS Wrong . I AM STILL A STUDENT

Solve for the missing side indícate Round any answers to the nearest tenth

Answers

Answer:

do 180-36-90 and then what you get add a ° and it should be 53°

Find and interpret the average rate of change.
Time (in months)
Balance
0 1 2 3 4 5 6
$250 $234 $220 $202 $189 $171 $157
3. The table shows the balance
in Sonia's bank account over
6 months. Find and interpret
the average rate of change
during this time period.

Answers

I will try my best friend

You have a 1/3 -teaspoon measuring spoon and a 1/2-teaspoon measuring spoon. What are two ways you can measure 3 1/6 teaspoons of salt?

Answers

Answer: One way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/2 teaspoon measuring spoon 3 times to measure 3/2 = 1 1/2 teaspoons

and use the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

3 1/2 + 2/3 = 3 1/6

Another way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

and use the 1/2 teaspoon measuring spoon 6 times to measure 6 * 1/2 = 3 teaspoons

3 + 2/3 = 3 1/6

So, there are two ways to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2-teaspoon measuring spoon, one is by using 3 times 1/2 teaspoon measuring spoon and 6 times 1/3 teaspoon measuring spoon and the second one is by using 6 times 1/3 teaspoon measuring spoon and 3 times 1/2 teaspoon measuring spoon.

Step-by-step explanation:

When the function f(x) is divided by x + 2, the quotient is x² - 5x + 8 and the
remainder is 8. Find the function f(x) and write the result in standard form.

Answers

Step-by-step explanation:

this means :

f(x) / (x + 2) = (x² - 5x + 8) + 8/(x + 2)

f(x) = (x + 2)(x² - 5x + 8) + 8 =

= x³ - 5x² + 8x + 2x² - 10x + 16 + 8 =

= x³ - 3x² - 2x + 24

4. The Jerico family went ice skating on the
frozen lake. The 2 parents and 4 children each
had ice skates. They brought an extra pair of
ice skates in case anyone else wanted to join
them. How many ice skates did the family
bring?

Answers

Answer:

10

I wish you luck in your assignments.

15. Given a triangle with angle measures 35º and 25°. Find the measure of the third angle and classify
the triangle.
A. 30°, Right
B. 90°, Right
C. 120°, Obtuse
D. 30°, Acute

Answers

Answer: 120° obtuse.

Step-by-step explanation:

The sum of the angles in a triangle is 180°. Since two of the angles given are 35° and 25°, the third angle will be:

= 180° - (35° + 25°)

= 180° - 60°

= 120°

This is an obtuse angle since it's greater than 90° but less than 180°

PLEASE HELP MEEEE!!!

Answers

Answer:

x= 9

y= 3 root 3

Step-by-step explanation:

to find the shorter leg length you have: hypotenuse/2

[tex] \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} [/tex]

to find the longer leg length you have: shorter leg × root 3

[tex]3 \sqrt{3} \times \sqrt{3} = 3 \sqrt{9 } = 3(3) = 9[/tex]

What's the area of the triangle with 9mm 76mm 100mm

Answers

9514 1404 393

Answer:

  342 mm²

Step-by-step explanation:

The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...

  A = 1/2bh

  A = (1/2)(9 mm)(76 mm) = 342 mm²

The triangle shown has an area of 342 mm².

_____

Additional comment

The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)


Rahquez and Francesca both leave the coffee shop at the same time, but in opposite directions. If
Francesca travels 5 mph faster than Rahquez and after 3 hours they are 105 miles apart, how fast is each
traveling?

Answers

So Rahquez is traveling 20 mph, and Francesca is traveling 25 mph in opposite direction.

Define acceleration.

Acceleration is the rate of change of velocity of an object. It is a vector quantity that has both magnitude and direction. Mathematically, it is the derivative of velocity with respect to time. In simpler terms, it is the change in speed or direction of an object over time. If an object is speeding up, it is said to have a positive acceleration, while if it is slowing down, it has a negative acceleration.

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position. It has both magnitude and direction. The magnitude of velocity is the speed of an object, which is the distance covered per unit of time. The direction of velocity is the direction of the motion of an object. The standard unit of velocity is meters per second (m/s) or miles per hour (mph).

Let's call Rahquez's speed "R" and Francesca's speed "F". We know from the problem that:

F = R + 5 (Francesca is traveling 5 mph faster than Rahquez)

We also know that after 3 hours they are 105 miles apart, so we can set up an equation using distance = speed x time:

105 = (R + F) * 3

Now we can substitute the first equation into the second equation:

105 = (R + (R + 5)) * 3

Simplifying and solving for R, we get:

R = 20 mph

So Rahquez is traveling 20 mph, and Francesca is traveling 25 mph (since F = R + 5).

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Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 12 inches and height of 8 inches.

Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold? Approximate using pi equals 355 over 113.

V equals 355 over 113 times 12 squared times 8
V equals 355 over 113 times 6 squared times 8
V equals 355 over 113 times 8 squared times 6
V equals 355 over 113 times 8 squared times 12

Answers

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

Define volume.

Volume, which is expressed in cubic units, is a unit of measurement for the 3-dimensional space occupied by matter or encircled by a surface. The SI unit of volume = area * height is the cubic metre (m3), which is a derived unit. A "litre" (L) is the name given to the cubic decimeter (dm3).

Here,

The volume of cylinder = πr²h

Given : Diameter = 12 inches

radius = 12/2 = 6 inches

Height = 8 inches

Thus ,

To find the volume  we put the all the above values in the formula:

=> V = πr²h

=> V = 22/7 * 6² * 8

=> V =355/113 * (6)² * 8

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

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Answer:

V equals 355 over 113 times 6 squared times 8.

Step-by-step explanation:

Solve the following quadratic equation for all values of xx in simplest form.
4(x^2-5)-1=
4(x
2
−5)−1=
\,\,3
3

Answers

The quadratic equation 4(x² − 5) − 1 = 3 has its solutions to be are √6 and -√6

How to determine the solutions to the equation?

From the question, we have the following parameters that can be used in our computation:

4(x 2−5)−1=3

Express properly

This gives

4(x² − 5) − 1 = 3

Subtract -1 from both sides of the equation

So, we have the following representation

4(x² − 5) = 4

Divide both sides by 4

This gives

x² − 5 = 1

Subtract -5 from both sides of the equation

So, we have the following representation

x² = 6

Take the square root of both sides

x = ±√6

Hence, the solution is ±√6

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What is the value of c in the equation below?
24.22=abc
0 -4
0 -2
O
1
64
O
1
4

Answers

Answer:

are the values of a or b given?

Step-by-step explanation:

In the figure, d || m. What is the value of x?
I WILL MARK BRAINLIEST!!
|
———— | ————
(2x - 20°)|
| 86°
———— | ———-
|

Answers

Answer: 53

Step-by-step explanation:

2x-20=86 [alternate interior angles theorem]2x=106 [add 20 to both sides]x = 53 [divide both sides by 2]

draw the graph y = 2x + 1

Answers

Answer:

are there any other information

Calculating the median
The following data points represent the number of attendees at each of the private dance events hosted by
Fenel Arrangements.
Sort the data from least to greatest.
49
48
33
51
38
47
42 34
Find the median number of attendees.
attendees
Repon a problems
Stuck? Watch a video or use a hint.

Answers

The median for the following data is 44.5

Answer:

Okay so!

Step-by-step explanation:

33, 34, 38, 42, 47, 47, 48, 49, 51.

The median is 47 because it turns up twice.

Express The Ratio 36 : 42 In it's Simplest Form ? ​

Answers

Answer:

6/7

Step-by-step explanation:

36/42 = 36:6/42:6 = 6/7

PLEASE ANSWER

Write an equation in point-slope form passing through the given point and parallel to the given line:

(- 4, 4)

y = - 7/4x + 2

Answers

Answer:

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

Step-by-step explanation:

Point Slope Form: y-y*sub*1=m(x-x*sub*1)

Parallel lines have the same slope as the line to which they are parallel.

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

Hope this helps :)

Select ALL composite numbers with their correct prime factors(I need help)

Answers

Answer:

The answer would be the second and fourth options.

Step-by-step explanation:

This can be solved by using a calculator, the prime factor method, etc. Good luck on your math journey!

6y2 + 3y - 1 4 for y = 1

Answers

The  value of the given polynomial equation would be: [tex]6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]

Why use the vertex form?

In contrast to the vertex form of a quadratic equation, which is y = a (x h) 2 + k, the normal quadratic form is written as an x 2 + b x + c = y. The constant that indicates whether the parabola is facing up (+ a) or down ( a) is called a. It is represented in both forms by the letters y, x, and a.

In the equation we are given the value of y as: 1

[tex]6y2 + 3y - 1 4 \\\\6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]

Therefore, we can say that the value of the given polynomial is: 8

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Complete question is: Find 6y2 + 3y - 1 4 for y = 1

Q1
0.06 million = 6.2 thousand =
Give your answer to two de

Answers

600.2 million will be the answer

Help me please 35 points on the line

Answers

Answer shown in bold

401924109147

The non-bolded values to the left are not to be typed in the answer box. They're present to keep track of the values. In other words, you'll type "40" without quotes into the first box, then "19" without quotes in the second box, and so on.

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

Explanations:

Add up all of the values in the Venn diagram to find the total. Therefore, 9+10+14+7 = 40 students were surveyed.We add the values in the "social interaction activities" circle only. There are 9+10 = 19 students here.This time add up the values in the "technology driven activities" to get 10+14 = 24 students.The answer is 10 because this value is in the overlapped region between the two circles. The answer is 9 since this value is in the "social interaction activities" circle, but outside the other circle. The answer is 14 as this value is in the "technology driven activities" circle, but outside the other circle.The answer is 7 because this value is outside both circles.

Let me know if you have any questions.

I need some answers please like I really don’t know how to do these problems at all

Answers

Answer:

EVALUATE THE FUCTION WHEN: f (1/2 % 32)////////21+×_37- 4 = 37.2

EVALUATE THE FUNCTION WHEN f(3+38 x + formula of angle are = _1/2 decimals point 78.32)*/% =3( 92.03

Step-by-step explanation:

HOPE IT HELPS A LOT!!

That answer that he put in is wrong. Hold on I’ll give you the right answer

D varies as R and S, and inversely as t. D=12, R=3, S=20, and t=5, find D when R=15, S=4 and t=8.

Answers

Given:

D varies as R and S, and inversely as t.

D=12, R=3, S=20, and t=5

To find:

The value of D when R=15, S=4 and t=8.

Solution:

It is given that D varies as R and S, and inversely as t. So,

[tex]D\propto \dfrac{RS}{t}[/tex]

[tex]D=\dfrac{kRS}{t}[/tex]                ...(i)

Where, k is the constant of proportionality.

We have, D=12, R=3, S=20, and t=5. Substituting these values in (i), we get

[tex]12=\dfrac{k(3)(20)}{5}[/tex]

[tex]12=12k[/tex]

[tex]\dfrac{12}{12}=k[/tex]

[tex]1=k[/tex]

Substituting [tex]k=1[/tex] in (i), we get the required equation.

[tex]D=\dfrac{(1)RS}{t}[/tex]

[tex]D=\dfrac{RS}{t}[/tex]

We need to find D when R=15, S=4 and t=8. Substituting R=15, S=4 and t=8 in the above equation, we get

[tex]D=\dfrac{(15)(4)}{8}[/tex]

[tex]D=\dfrac{60}{8}[/tex]

[tex]D=7.5[/tex]

Therefore, the required value of D is 7.5.

An octagon has a perimeter of 27 feet. If the sides of the octagon shrink by a scale factor of 8/9, what will the perimeter of the new octagon be

Answers

The perimeter of the new octagon be 24 feet.

What is the perimeter of octagon?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

There are numerous uses in real life for perimeter calculations. The measurement of the fence needed to completely enclose yard or garden is called the perimeter. How far a wheel or circle will roll in one revolution is determined by its circumference, or perimeter.

The length of each side of an octagon is the same. In order to calculate the perimeter of an octagon, multiply 8 by the length of its sides.

Given that the perimeter of an octagon is 27 feet

so the length of its side is 27/8 feet

if the side of the octagon shrink by a scale factor of 8/9

The side of new octagon is (27/8) * (8/9)

The side of new octagon is 3 feet.

So the perimeter of new octagon is 8 * side

⇒ the perimeter of new octagon = 8 * 3 feet

⇒ the perimeter of new octagon = 24 feet

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what is the volume of a prism if the length is 11ft the width is 8ft and the height is 9ft

Answers

Answer:

792ft

Step-by-step explanation:

V=LxWxH, so all you do is do 11 times 8 times 9 to get the answer to that question

PLEASE HELP

All numbers less than 17 and greater than or equal to -8

Answers

Answer: C

Step-by-step explanation: it says that it's smaller or equal to x and x is smaller than 17

Answer: 17>n ≥-8

1. All number less than 17 can write as n< 17

2. All numbers greater than or equal to -8 can written as n ≥ -8.

3. Flip n<17 so n can be in the middle of the inequality.

4. Combined it would be 17>n ≥-8
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