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:

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Related Questions

Solve each:
1.
2.
3.

Answers

I’m not sure I’m looking for it on the internet

Answer:

1. cube root of 8 = 2

2. square root of 16 is 4

3. cube root of (-8) is (-2)

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.
How much does a chicken cost, and how much does a duck cost?
A chicken costs $_____ and a duck costs $_____.

Answers

Answer:

Chicken:$8   Ducks:$5

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:

(45c-33c+27d-27d)= 96

12c = 96

Chicken = $ 8 (96/12)

Ducks: 50(8)+ 30d = 550

30d = 150

Ducks = $5 (150/30)

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

Answers

Answer:

A

Step-by-step explanation:

HELPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!

Answers

the answer is A : m=-1

Answer:

C

Step-by-step explanation:

GIVING BRAINLIEST AND THE REST OF MY POINTS, PLS HELP!!!! :((

Answers

Answer:

The correct line plot is choice C.

Step-by-step explanation:

If you look at the data values, you'll notice that there are three [tex]11\frac{1}{4}[/tex], and the only line plot that depicts this is choice C, so that is the correct answer.

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

Answer: 25.5 inches

Please answer the question below fully will mark brainliest

Answers

Answer:

que es eso

Step-by-step explanation:

fuhwiheirj lo siento

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

City Temperature
Anchorage 1
Fairbanks -3
Prudhoe Bay -15
Barrow -11
Juneau 17
What was the average (mean) temperature for these
plz explain

Answers

Answer:

9.4

Step-by-step explanation:

1+3+15+11+17=47

47/5=9.4

Answer:

i need answers

Step-by-step explanation:

Mia is trying to find the value of x in 3x = 21. Find the value of x.

Answers

Answer:

7

Step-by-step explanation:

3*7=21

Answer:

7

Step-by-step explanation:

if 3x=21 then you just have to divide 21 by 3 and the answer would be 7 because 3 times 7 equals 21

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

Answers

Answer:

ok

Step-by-step explanation:

please help asap:)))

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

If the nth term of a sequence is
4n + 3 what is the 6th term?​

Answers

Answer:

27 is the answer to the question

Step-by-step explanation:

4(6)+3=24+3=27

A garden center has 150 fruit trees to sell.
1/10 of the trees are lemon trees.
2/5 of the trees are orange trees.
1/3 of the trees are peach trees.
The rest are pear trees.
How many trees are pear trees?

Answers

Step-by-step explanation:

Take pear trees be X

1/10+2/5+1/3+x=150 (Take LCM of 10,5,3=30)

3/30+12/30+10/30+30x/30= 150

25/30+30x/30=150

25+x=150/30

X=5-25=-20 are pear trees

hope it helps

1/10 of 150 is 15. 2/5 is 60. 1/3 is 50. All together that is 125 leaving is with 25 pear trees.

LOOKS EASY !! NO FILES/LINKS THX

Answers

Answer:

16

Step-by-step explanation:

Comment if you want explanation

Answer: C. 16

Step-by-step explanation: multiply 12 and 16 to get 192. then subtract 192 to 6 to get 186.

Find the slope and Y-intercept, then graph
X - 3y = 9

Answers

Answer:

y≈ 1/3x -3

y intercept (0,-3)

Step-by-step explanation:

HELP PLEASE 15 POINTS

Answers

Here is the answer

So as the triangle is congruent their sides angle all are same so the remaining angle in figure 2 (angle P) is 70

MARK ME :)

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

How to Solve

x + 6y = 2
3x + 12y = 6

Answers

Answer:

x=40

y=− 17 /6

Step-by-step explanation:

4. What is the distance, in units, between the points (11, -7)
and (2, -7) on a coordinate plane?
M. 13
P. 9
R. 5
S. O

Answers

i pretty sure that the answer it R.5

A teacher asked 1818 students how many books they read last summer.
​
​The dot plot displays the data.
​Each dot represents one student.
​
The most frequent response was

Answers

Answer:

the most frequent response was one

Answer:

the answer is 45 duh

Step-by-step explanation:

Write in plain language: d / 5 *

Answers

Answer:

d over 5 or d divided by five

or an unknown number over or divided by 5

Step-by-step explanation:

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

Good luck!

#11
Please help ASAP

Extra 500 points and brainliest

Answers

number 4 since it is cut in half everytime , its negative tho

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?

Answers

The scale would be 1 centimeter: 9 meters

Find the equation to the line below.

Answers

Answer:

y=3/2x +2

Step-by-step explanation:

Rise/run + y-intercept

Answer:

y=3/2x+2

Step-by-step explanation:

By using slope intercept format, which is y=mx+b, you can get the answer.

You randomly choose a marble form a jar.The jar contains 4 red marbles , 10 blue marbles , 7 green marbles , and 6 yellow marbles.Find the probability of the event.

Choosing a green marble.

Answers

The probability is 7/27
Because you add all the marbles to find the total 10+7+6+4=27
And like its asking for green and there are 7 out of 27

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

x² = 7.4²+12²

x² = 54.76+144

x² = 198.76

x = √(198.76)

x = 14.1 mm

Hence, the length of BC = 14.1 mm

HELP! Write an equation of a line that is parallel to y=-2x+3

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.

y = -2x + b

This question only asks for a line parallel to y = -2x + 3.

This means we can plug in any number (except 3) for b. We cannot plug in 3 because then it will be the same equation!

To make things simple, we can use 0 and therefore leave it out.

y = -2x

This line is parallel to y = -2x + 3.

Hope this helps!

Factorise fully 12x³ - 30x²​

Answers

Answer:

6x² (2x - 5)

Step-by-step explanation:

12x³ - 30x²

= 6x² (2x - 5)

Find the solution of the system of equations.
10x-2y=44
-2x-9y=10

Answers

Answer:

x = 4 y = -2

Step-by-step explanation:

10x - 2y = 44

-10x -45y = 50

-47y = 94

y = -2

-2x -9(-2) = 10

-2x + 18 = 10

-2x = -8

x = 4

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