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 3.4 x 2.6 by drawing an area diagram. Show your reason (I need help on this-

Answers

The area is 8.84 sq. units

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

To find the area we will find the product of 3.4 x 2.6, we can break each length into its base-ten units,

3.4 = 3+0.4

2.6 = 2+0.6

We can rewrite the product and solve it,

= (3+0.4) × (2+0.6)

= (3+0.4) × 2 + (3+0.4) × 0.6

= 3 × 2 + 0.4 × 2 + 3 × 0.6 + 0.4 × 0.6

This expression represents the partial product, each of the expression gives the area of sub rectangles (A, B, C and D). the sum of the partial product will give the area of the main rectangle.

Therefore,

3 × 2 + 0.4 × 2 + 3 × 0.6 + 0.4 × 0.6

= 6+0.8+1.8+0.24

= 8.84

Hence, the required area is 8.84 sq. units.

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Wilmer cashed his paycheck at Check Express. The fee at Check Express is 9% of the amount of the check. His paycheck was $291. How much was the fee for Wilmer to cash his paycheck?​

Answers

Answer:

$26.19

Step-by-step explanation:

9% as a decimal is 0.09.

So, the fee is [tex](291)(0.09)=\$26.19[/tex].

Answer:

$26.19

Step-by-step explanation:

.09 x 291 = 26.19

if 11 is to 22, and 22 to 242, then from 242 to what​

Answers

Answer:

it's equal to = 242 =484. I think so that's the right answer please

how to find the lcd and subtract the following fractions what is the answer of 5 over 6 minus 1 over 4 pls

Answers

Answer:

[tex]\displaystyle \frac{7}{12}[/tex]

Step-by-step explanation:

When we are subtracting fractions with different denominators, we find the least common denominator of each one. In the case of 6 and 4, they both share 12 as the least common denominator, so we can rewrite each fraction as equivalents with denominators of 12:

[tex]\displaystyle \frac{5}{6}-\frac{1}{4}=\frac{5*2}{6*2}-\frac{1*3}{4*3}=\frac{10}{12}-\frac{3}{12}=\frac{7}{12}[/tex]

Step-by-step explanation:

This calculator subtracts two fractions. First, convert all fractions to a common denominator when fractions have different denominators

‐3 + 4(a – 3b + 2) – 5(2 – a + 3b)

Answers

Answer: 15a – 12b – 5.

Step-by-step explanation: To solve this equation, we need to distribute the constants in front of the parentheses. Doing so, we get:

-3 + 4(a – 3b + 2) – 5(2 – a + 3b)

= -3 + 4a – 12b + 8 – 10 + 15a – 15b

= (15a – 12b) + (-10 + 8) – 3

= 15a – 12b + -2 – 3

= 15a – 12b – 5

Thus, the solution to the equation is 15a – 12b – 5.

a particular dress requires 3 1/4 yards of fabric for manufacturing. if the matching jacket requires 1/6 yards less fabric, how much fabric is needed for both pieces?

Answers

Answer: The matching jacket requires 1/6 yards less fabric than the dress, which is 3 1/4 - 1/6 = 3 1/4 - 2/12 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 3/12 yards of fabric.

To add these two amounts of fabric together, you need to add the yards and the inches separately.

For the dress: 3 1/4 yards = 3 + 1/4 = 3 + 0.25 = 3.25

For the jacket: 3 3/12 yards = 3 + 3/12 = 3 + 0.25 = 3.25

So, for both pieces, the required fabric is 3.25 + 3.25 = 6.5 yards

Step-by-step explanation:

Help if you know how to do this! I’d really appreciate it!

Answers

The value of x is 20 and the value of y is 8 from the given quadrilaterals.

What is a Congruent Polygon?

The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.

Given that, ABCD≅EFGH

We know that, corresponding parts of congruent polygon are equal.

Now, (4y-4)°=28°

4y=32

y=8

(10x-65)°=135°

10x=200

x=20

Therefore, the value of x is 20 and the value of y is 8 from the given quadrilaterals.

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Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)

Answers

UV is a segment Bisector.

What is a segment Bisector?

A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.

What is the bisector rule?

The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.

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Shaikha types at a rate of 34 words per minute. How many words does she type in 2 minutes?

Answers

Answer:

68 words

Step-by-step explanation:

If 34 words are typed in a minute what about two minutes hence take 34×2

Answer:

68

Step-by-step explanation:

What is a rate?

A rate can be a quantity, or frequency, measured against a different quantity or amount.

If we know that Shaikha can type at a rate of 34 words per minute, and we need to figure out how many words she can type in 2 minutes, we can use an equation that looks like this:

Let m = minutes, w = words per minute and t = total words

m × w = t

Simply just insert your numbers into the equation.

2 × 34 = 68

Therefore, the number of words, or rate, that Shaikha types in 2 minutes is 68.

PQ || NM. What equation can you use to find the length of OQ?

Answers

On solving the provided question, we can say that - As a result, Orthocenter triangle is the answer to the given triangle issue (0, - 5 ).

What is triangle?

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

determine LN's slope.

[tex]m = (y2 - y1)/ (x2- x1) = 1-5/8-0 = 2[/tex]

formula for altitude

[tex]y - 1 = 2(x - 3) (x - 3)\\y - 1 = 2x - 6\\[/tex]

y = 2x - 5

Altitude of N and LM

[tex]m = (y2 - y1)/ (x2- x1) = 1-5/3-0 ⇒ -3/4\\y - 1 = (x - 8) (x - 8)\\y - 1 = x - 6\\[/tex]

y = x - 5

[tex]8x - 20 = 3x - 20\\5x - 20 = - 20 \\5x = 0 = > x = 0\\[/tex]

y =0 - 5 = - 5

It is the orthocenter (0, - 5 )

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to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.

Answers

Both of you are correct because using either way can solve the equation for the value of x.

How to solve for x ?

In the case of solving for x in  2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.

Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :

Multiplying :

2/5 x = 14

5 / 2 x 2 / 5 x = 14 x 5 / 2

x = 35

Dividing :

2/5 x = 14

2 / 5 x / 2 / 5 = 14 / 2 / 5

x = 35

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Find the measure of ∠ 1

Answers

The measure of ∠ 1 is 68.7°

What is linear pair angles?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

Given is a figure of angles showing the pair of linear angles.

Therefore, by the definition of linear pair angles,

∠ 1 + 111.3° = 180°

∠ 1 = 180° - 111.3°

∠ 1 = 68.7°

Hence, the measure of ∠ 1 is  68.7°

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PLIS HELP
The total cost in dollars, y, that a t-shirt company charges can be modeled by the toes per day by the equation y = 5x + 62, where x represents the number of t-shirts sold. If they sell 74 shirts, what will the total cost be?​

Answers

The total cost of the 74 shirts will be;

⇒ $432

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The total cost in dollars, y, that a t-shirt company charges can be modeled by the toes per day by the equation is,

⇒ y = 5x + 62

Where, x represents the number of t-shirts sold.

Now,

Since, The equation is,

⇒ y = 5x + 62

Where, x represents the number of t-shirts sold.

Hence, For 74 shirts, the cost is fund by substitute x = 74 in above equation,

⇒ y = 5x + 62

⇒ y = 5 × 74 + 62

⇒ y = $432

Thus, The total cost of the 74 shirts = $432

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WILL MARK BRAINLIEST given angles A and B in quadrant I with tan = 7/24 and tan B = 15/8, find tan (A + B), find the exact value of each expression by applying the identity.

Answers

Using PEMDAS to resolve the trigonometric identity which involves trigonometric function, the value of tan A + tan B is 416 / 87

What is Trigonometric Identity

A trigonometric identity is an equation that is true for any value of the variables involved. These identities are useful in solving problems involving trigonometric functions. Examples include the Pythagorean identity, the sine and cosine addition formulas, and the double angle formulas.

In the given problem, we have a compound angle problem and we can solve it as;

tan A + tan B = [(tan A + tan B)] / [1 - tan A * tan B]

tan A = 7/24tan B = 15 / 8

Substituting the values into the expression and solve;

tan A + tan B = [(7/24 + 15/8)] /[1 - (7/24)(15/8)]

Applying the rules of PEMDAS;

tan A + tan B = (13 / 6) / (29 / 64)

tan A + tan B = 416/87

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altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two
equal
segments. The length of the altitude is 36 inches, and the length of the base is 12
inches. Find the triangle's perimeter. Round to the nearest tenth of an

Answers

Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

Draw a number line to show 2/8 and 4/16 are equivalent.

Answers

Step-by-step explanation:

think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.

I REALLY NEED HELP!!!! ASAP!!! WORTH 50 POINTS!!!!!!

Answers

Because one tablet is 1/40 grams, half a tablet is 1/80 grams, together that adds up to 3/80 grams of vitamin C

How do you find the equation of the midline for a function?

Answers

Therefore , the solution to the given problem is the equation of the midline is: y = M+m /2 .

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Here,

The midline equation is y = M+m /2

when a function has: o a max M AND a min m or o (if it does not have extrema) a bound above M and a bound below m, where M is the minimum bound above and m is the maximum bound below.

When one of the following conditions is true for a function, even though it has a bound below, there is no midline (even if it has a bound above)

It is solely constrained from above (or below)

Any line is midline if a function has the values (-∞, +∞)

Therefore , the solution to the given problem is the equation of the midline is: y = M+m /2 .

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Zachary purchased a computer for $1,800 on a payment plan. Three months after he purchased the computer, his balance was 1,350. Five months after he purchased the computer , his balance was 1,050. What is an equation that models the balance B after m Months

Answers

Answer: y = -150x + 1800

Step-by-step explanation:

1. Find the linear slope of the line between two points.

(Change in Y)/(Change in X)

2. Write out an equation in point slope form.

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

y-1800 = -150(x-0)

3. Simplify the equation and turn it into slope-intercept form.

y = -150x + 1800

If a copy machine can copy 34 sheets of paper in one minute. How many sheets can it copy in 2 hours?

Answers

Answer:

Step-by-step explanation:

34x60

60 minutes in a hour

34x60=204

204+204= 408

408 copies in 2 hours

Answer:

4080

Step-by-step explanation:

First you would multiply 34 by 120. After you multiply those numbers you should get 4080 as your answer.

Graph the inequality.
y> -3x²-30x-68

(Will mark brainliest)

Answers

Answer:

See below

Step-by-step explanation:

Because it's an inequality, the upside-down parabola has dashed lines instead of a sold line. Additionally, only one side of that parabola will contain the solution set, which we can easily figure out by testing a point like (0,0):

[tex]0\stackrel{?}{ > }-3(0)^2-30(0)-48\\0\stackrel{?}{ > }-48\\\\0 > -48 \text{ is true}[/tex]

Hence, the side that contains (0,0) gets shaded. See the graph below.

Lesson 17

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Hypotenuse = 14.5 meters
Opposite side = 6.3 meters
θ = ?

Answers

The measure for θ is 25.747121°.

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Hypotenuse = 14.5 meters

Opposite side = 6.3 meters

Now, using Trigonometry

sin θ = Opposite side / Hypotenuse

by putting the given values we get

sin θ = 6.3 / 14.5

sin θ = 63/145

sin θ = 0.4344

θ =25.747121°

Hence, the angle is 25.747121°.

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Divide. Round to the nearest tenth.
3.5/2.29

Answers

Answer:

The answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.

Sean bakes 18 dozen chocolate cupcakes and 13 dozen vanilla cupcakes. About how many cupcakes did Sean bake? EXPLAIN now!!!

Answers

Sean baked 372 cupcakes in total.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Sean bakes 18 dozen chocolate cupcakes,

and 13 dozen vanilla cupcakes.

There are 12 cupcakes in one dozen.

To find the number of cupcakes:

Using multiplication operation,

18 x 12 = 216.

13 x 12 = 156.

The number of cupcakes = number of chocolate cupcakes + number of vanilla cupcakes.

The number of cupcakes = 216 + 156

The number of cupcakes = 372

Therefore, the number of cupcakes are 372.

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Sara had 222 dollars to spend on 9 books after buying then she had 15 dollars how much did each book cost​

Answers

Answer:

Each book cost 222 - 15 = 207 / 9 = 22.88 dollars.

will mark u brainliesst

Answers

Answer:

- 7√10

Step-by-step explanation:

Step 1 : Take √10 common

2√10 - 5√10 - 4√10

= √10 ( 2 - 5 - 4 )

Step 2 : Subtract the numbers separately.

2 - 5 - 4

= 2 - 9

= - 7

Step 3 : Multiply √10 and - 7

√10 * - 7 = - 7√10

what is 92,572 rounded to the nearest ten thousand

Answers

Answer: it is 90,000 i believe

Answer: 90,000

Step-by-step explanation: I think it is 90,000 because if the number was for an example 95,000 it would be 100,000 so the number after the 9 is deciding either it goes up or down

(sorry for the grammar and stuff because I'm from Germany so its not very easy to explain, thanks for understanding)

A rectangle has a length of
2,000 cm and a width of 23 cm.
What is the area?
What is the perimeter?

Answers

Answer:

Area= 46,000

Permiter= 4,600

Step-by-step explanation:

The formula to find the area of a rectangle is Length(L) times Width(W).

So 2,000(L) times 23 (W)= 46,000.

The formula for perimeter is 2(l+w).

So you're going to go 2,000 + 23 = 2,300 times 2 which equals 4,600.

Hope that helped, have a great day!!

1) A publisher wants to determine the thickness of a book they will print soon. The book has a front cover and a back cover, each of which have a thickness of

1/4 in. The publisher can choose on what type of paper to print the book.

Bond paper has a thickness of 1/4 in. per 100 pages.

Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper.


Ledger paper has a thickness of 2/5 in. per `100` pages. Write an equation that gives the width `y` of the book, if it has `x`-hundred pages printed on ledger paper.

2) If the publisher selects front and back covers with a thickness of 1/3 in. each, how would this change the equations you wrote on the previous slides?

Answers

1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x

1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x

2) The equation will be; y = ²/₃ +¹/₄x

How to solve Algebraic Word Problems?

1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;

The addition of both gives to the book thickness of;

1/4 + 1/4 = 1/2 inch, despite how many pages the book  has.

We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:

y = ¹/₂ + ¹/₄x

where;

y is the width of the book in inches.

x is every hundred pages printed on bond paper.

1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;

y = ¹/₂ + ²/₅x

2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;

y = 2(1/3) +¹/₄x

y = ²/₃ +¹/₄x

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sasha needs 3/4 cup of flour to make a batch of muffins and 1 2/3 cups of flour to make loaf of bread. How many cups of flour does sasha need to make both a batch of muffins and a loaf of bread

Answers

Using the addition operation, the number of cups of flour Sasha needs to make both a batch of muffins and a loaf of bread is 2⁵/₁₂ cups.

How is the number or quantity determined?

We can use the addition operation to determine the quantity of flour that Sasha needs.

We add the cups of flour needed for both items to determine the total quantity.

The quantity of flour for making a batch of muffins = 3/4 cups

The quantity of flour for making a loaf of bread = 1²/₃ cups

The total quantity of flour needed for making a batch of muffins and a loaf of bread = 2⁵/₁₂ cups (³/₄ + 1²/₃)

(³/₄ + 1²/₃)

= ³/₄ + ⁵/₃

= (9 + 20)/12

= 29/12

= 2⁵/₁₂

Thus, to make a batch of muffins and a loaf of bread, Sasha needs 2⁵/₁₂ cups of flour.

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