Mathematics High School

2. If all the letters in the word ENVELOPE are randomly rearranged, what is the probability the letters will
spell the word ENVELOPE?
A.
3/28

B.
1/720

c.
1/1120

D.
1/6720

Answers

Answer 1
The answer is D sorry if it’s wrong
Answer 2

The probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

If all the letters in the word ENVELOPE are randomly rearranged,

As we know, a permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

From the definition of the permutation and combination we can calculate the total number of arrangements:

E :: 3

N :: 1

V :: 1

L :: 1

O :: 1

P :: 1

The arrangement Letters:

E,L,N,O,P,V

Total Number of Letters:

8

Total Number of Unique Letters:

6

Total arrangements  = 8!/3!

 

Total arrangements  = 8×7×6×5×4

Arrangements  =  6720

Total number of outcomes = 6720

Number of favorable outcomes = 1

Probability = 1/6720

Thus, the probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.

Learn more about the probability here:

brainly.com/question/11234923

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Related Questions

The velocity-time graph of a vehicle is shown below. Determine the displacement of the vehicle between the interval t = 0 s to 2 s.
A) 5 m
B) 10 m
C) 15 m
D) 20 m

Answers

here the slope of the graph is straight, that means velocity is uniform

the correct answer is option B. 10m

Jenny's recipe for pancakes requires 2 cups of milk. The recipe about 15 pancakes.

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Step-by-step explanation:

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Step-by-step explanation:

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A B and C from a triangle where BAC =90 AB = 7.4 mm and CA = 12 and find the length of AC , giving your answer rouned to 1DP

Answers

Question: A B and C form a triangle where BAC = 90°. AB = 7.4 mm and CA = 12 mm. Find the length of BC, giving your answer rounded to 1 DP.

Answer:

14.1 mm

Step-by-step explanation:

From the diagram attached,

Using pythagoras theorem,

a² = b²+c²............... Equation 1

From the attached file,

Given: a = x, b = 7.4 mm, c = 12 mm

Substitute these values into equation 1, and solve for x

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x² = 198.76

x = √(198.76)

x = 14.1 mm

Hence, the length of BC = 14.1 mm

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Answers

Answer:

Step-by-step explanation:

Yes, We can find the cost of one admission to the water park,

We can form two linear equation with two variables and by solving the equation we can determine the cost of one admission.

Cost of 15 people's admission and 8 rental tube  is $ 263.25

15x  + 8y = 263.25  -------------(I)

Cost of 20 people's admission and 13 rental tubes is $ 358

20x + 13y = 358  ------------(II)

(I) * 13        195x + 104y = 3422.25

(II)*(-8)     -160x - 104y  = - 2864   {Now add and so y will be eliminated}

                35x               = 558.25

                                  x = 558.25/35

x = 15.95

Cost of one admission = $ 15.95

Please help!!! I am being timed!!
Brainiest if corrected!!!

Answers

The third option is right because we plug in 1 for x

Answer:

D

Step-by-step explanation:

The starting number is 3

And they bring in 1 member each month

That can be shown with the last equation

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Comment if you want explanation

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Answers

Answer:

d over 5 or d divided by five

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Step-by-step explanation:

4. What is the distance, in units, between the points (11, -7)
and (2, -7) on a coordinate plane?
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Answers

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Answers

Answer:

x = 4 y = -2

Step-by-step explanation:

10x - 2y = 44

-10x -45y = 50

-47y = 94

y = -2

-2x -9(-2) = 10

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Michael breeds chickens and ducks.

Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532.
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A chicken costs $_____ and a duck costs $_____.

Answers

Answer:

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Step-by-step explanation:

Let's assume

Chickens= c

Ducks=d

50c + 30d = 550 (divide this by 10)--- 5c+3d=55

44c + 36d = 532 (divide this by 4)--- 11c+9d=133

Solving simultaneously:

5c + 3d = 55 (x9)

11c + 9d = 133 (x3)

45c + 27d = 495

33c + 27d = 399

By subtraction we get:

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Ducks: 50(8)+ 30d = 550

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Ducks = $5 (150/30)

#11
Please help ASAP

Extra 500 points and brainliest

Answers

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Answers

Answer:

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Step-by-step explanation:

12x³ - 30x²

= 6x² (2x - 5)

I'll mark you brainliest if you help me with my previous math questions.​

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Here is the answer

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Answers

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Answers

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A right triangle has one leg with a length of 1 inch. In addition, the length of the hypotenuse is 1.5 times greater than the length of the other leg. Determine the measurements of the acute angles in the right triangle.

Answers

Answer:

25.5 inches is the correct answer

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The table below shows the temperatures of 5 cities in Alaska on a day in January.

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Answers

Answer:

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Step-by-step explanation:

1+3+15+11+17=47

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Step-by-step explanation:

The scale for a model is built to represent a real-life skyscraper. If a measurement of 4 cm on the model of the building is equivalent to 36 meters in real-life, what is the scale factor of the model?

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Answers

Answer:

y = -2x

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = -2x + 3. Its slope is -2. A line parallel to this one will also have a slope of -2.

Plug this value (-2) into your standard point-slope equation of y = mx + b.

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Answers

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Answer:

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Answers

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Answer:

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Step-by-step explanation:

A garden center has 150 fruit trees to sell.
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Answers

Step-by-step explanation:

Take pear trees be X

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Please answer the question below fully will mark brainliest

Answers

Answer:

que es eso

Step-by-step explanation:

fuhwiheirj lo siento

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