Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar.
Distinct four-letter sequences are formed by picking 4 letter tiles from a bag containing 11 different alphabet tiles. Note that the order in which the letters are picked matters.
The probability of getting a particular four-letter sequence is .

Answers

Answer 1
The answer is 4/11. This is because if you are asked to pick 4 letter from the bag and the bag only contains 11 different alphabet tiles then the answer would be 4/11.
Answer 2

The probability of getting a particular four letter sequence is  [tex]\frac{1}{7920}[/tex].

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

Formula for permutation

[tex]P(n, k) =\frac{n!}{(n-k)!}[/tex]

Where:

n – the total number of elements in a set

k – the number of selected elements arranged in a specific order

! – factorial

What is probability?

Probability is the measure of the likelihood of an event to occur.

Formula for probability

P(E) = number of favorable outcomes/ total number of outcomes

According to given question

We have

Total number of tiles = 11

And we have to form distinct four letter sequences by picking 4 letter tiles a bag containing 11 different alphabet.

n = 11 and k = 4

So, the total number of distinct four letter sequences formed by picking 4 tiles from a bag = [tex]11P_{4}[/tex]

⇒ total number of distinct four letters = [tex]\frac{11!}{(11-4)!} = 7920[/tex]

Since, we have to get only one particular sequence.

Total number of favorable outcomes = 1

And there are total number of four teller sequence = 7920

Total number of outcomes = 7920

Therefore, the probability of getting a particular four letter sequence = [tex]\frac{1}{7920}[/tex]

Learn more about probability  and permutation here:

https://brainly.com/question/14767366

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Related Questions

Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).

Answers

Answer:

22ft^2

Step-by-step explanation:

I am not sure if this is the correct answer since there were no numbers to the question you wrote out.

The dollar value y (t) of a certain car model that is t years old is given by the following exponential function.
v (t) = 18,500 (0.84)^t
Find the initial value of the car and the value after 12 years.
Round your answers to the nearest dollar as necessary.
What’s the initial value ? Value after 12 years?

Answers

Answer: Initial Value is 18,500. Value after 12 years is about 2,283

Step-by-step explanation:

The initial value assumes you have just bought the car, which means 0 years have passed. If zero is substituted as an exponent in ANY NUMBER, it equals 1. Therefore, the value is 18,500.

The value after 12 years can be found by substituting 12 in the space of t. Then, use a calculator to approximate the value of 0.84¹² which is equal to about 0.12. DO NOT ROUND, HOWEVER. Then, the previous value is multipled by 18,500, equalling about 2,283.

hurry up plz!! Harry performed an experiment with a standard number cube. He rolled the cube and recorded the results in a frequency table. The frequency table is given below. Find the experimental probability of the cube landing on an even number.

Answers

Hi!
First find the total frequency
6+7+4+7+6+10=40

Now count up the frequency of ALL EVEN NUMBERS

7+7+10=24

Your answer should then be 24/40

In probability you don’t have to simplify but just in case I’ll leave the simplified answer
3/5

Hope this helped!
24/40 simplify if needed

How can we solve question 13 algebraically? Will give brainliest + 10 points

Answers

Answer:

The answer is C.

Step-by-step explanation:

First, you have to make expressions for all the flags :

[tex]let \: blue \: flag = x[/tex]

Green flag cost 10 times the price of blue flag,

[tex]green \: flag = 10 \times x = 10x[/tex]

Red flag is half the price of green flag,

[tex]red \: flag = 10x \div 2 = 5x[/tex]

Orange is 10 dollars less than red flag,

[tex]orange \: flag = 5x - 10[/tex]

Assuming that the total cost of all 4 different coloured flags is $200. So you have to solve the value of x :

[tex]x + 10x + 5x + 5x - 10 = 200[/tex]

[tex]21x - 10 = 200[/tex]

[tex]21x = 200 + 10[/tex]

[tex]21x = 210[/tex]

[tex]x = 210 \div 21 = 10 \: dollars[/tex]

Then, you have to substitute the value of x into the expression of orange flag :

[tex]orange flag = 5x - 10[/tex]

[tex]orange flag = 5(10) - 10[/tex]

[tex]orange flag = 50 - 10[/tex]

[tex]orange flag = 40 \: dollars[/tex]

Write the equation of the parabola in vertex form. The vertex is
(-3,-4) and the parabola passes through The point (-1,0).

Answers

Answer:

y + 4 = (x - h)^2

Step-by-step explanation:

"vertex form" is y - k = a(x - h)^2.  Here, the vertex (h, k) is (-3, -4), and so we have:  

y + 4 = a(x + 3)^2.  To find the coefficient a, substitute -1 for x and 0 for y:

0 + 4 = a(-1 + 3)^2, or

4 = a(2^2).  Thus, a = 1, and the desired equation is

y + 4 = (x - h)^2

Apply the Pythagorean Theorem to find the distance between points B and C. A) 18 units B) 55 units C) 64 units D) 73 units

Answers

Answer:

[tex]BC=\sqrt{73}[/tex]

Step-by-step explanation:

Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.

If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.

If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.

Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:

[tex]BC=hyp=\sqrt{8^2+3^2} =\sqrt{64+9} =\sqrt{73}[/tex]

Answer:

the answer is d 73

Step-by-step explanation:

What is the sum of the series *picture attached*

Answers

Answer:

[tex]\sum_{n=4}^{18}(n+1)^2=2440[/tex]

Step-by-step explanation:

Series: [tex]\sum_{n=4}^{18} (n+1)^2[/tex]

Formula :[tex]\sum_{k=m}^n=\sum_{k=1}^n-\sum_{k=1}^{m-1}[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=\sum_{n=1}^{18}(n+1)^2-\sum_{n=1}^{3}(n+1)^2[/tex]

[tex]\sum_{n=1}^{18}(n+1)^2=2469[/tex]

[tex]\sum_{n=1}^{3}(n+1)^2=29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2469-29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2440[/tex]

So, Option C is true

Select the fraction that is a recurring decimal. A 28/35 B 16/18 C 19/76 D 133/190 E30/48

Answers

Answer:

Step-by-step explanation:

B because 16 over 18 in decimal is .8 repeating

Hi dude....

Pls mark my ans as brainliest :)

Answer:

B. 16/18

Step-by-step explanation:

A 28/35 = 0.8

B 16/18 =  0.88888888888.....

C 19/76 = 0.25

D 133/190 =  0.7

E 30/48 = 0.625

Hope it helps.....

Pls mark my ans as brainliest

this is algebra 1, the answers are on the bottom help please

Answers

Answer:

c. x ≤ 6

Step-by-step explanation:

Well we can tell the line is solid so we can cross out answers,

b.

And it is 6 units to the right where x is less than or equal to 6.

Thus,

the answer is c. x ≤ 6.

Hope this helps :)

Answer:

C

Step-by-step explanation:

x less than or equal to 6

If there had been a dashed vertical line at 6, it would have just been less than

Use the formula S = 40,000(1.06)' to calculate your salary after 4 years. Round your answer to the nearest dollar.
a. $42,400
b. $44,944
C. $47,641
d. $50,499

Answers

Answer: 50,499

Step-by-step explanation:

Since you are calculating the salary after 4 years, 4 would be the value of T. you then just solve the equation, so because of PEMDAS you plug in 1.06 to the 4th and then multiply it by 40,000, resulting in 50,499.

D

All you have to do is plug in 4 for the exponent on the calculator andddd you should get 50499.0784
Since it’s asking to round the answer to the nearest dollar then your answer should be $50,499

In the circle below, O is the center and mĞ= 128° What is the measure of angle HIG?​

Answers

Answer:

HIG=28°

Step-by-step explanation:

HI is a diameter therefore it's measure is 180°

HI-IG=HG

180-128=HG

52°=HG

HIG=1/2HG

HIG=1/2(56°)

HIG=28°

help me plz i want help

Answers

Answer:

2/9

Step-by-step explanation:

We want  blue green in any order.  That means BG  or GB

There are 9 possibilities

P ( BG or GB ) = number of BG or GB's / total

                       = 2/9

Graph the following equations and give the slope. Label and (if not using graph paper) mark axis.
14.x=4
15. y = 2
16, 2x - y = 5
17. y - 1 = =(x + 3)

Answers

Answer:

Step-by-step explanation:

14. x=4

vertical line(no slope) with one coordinate being (4,0)

15. y=2

horizontal line(no slope) with one coordinate being (0,2)

16. 2x-y=5

slope= 2; two coordinates are (0,-5) and (2,-1)

17. y-1=(x+3)

slope= 1; two coordinates are (-4,0) and (0,4)

HOPE THIS HELPS!!! :)

Evaluate 3x + 12 when x = 9

Answers

Answer:

The answer is 39.

Step-by-step explanation:

You have to substitute the value of x into the expression :

[tex]3x + 12[/tex]

[tex]let \: x = 9[/tex]

[tex]3(9) + 12 = 27 + 12 = 39[/tex]

Answer:

39

Step-by-step explanation:

To solve your question we must replace x with the given number which is 9 so,

3 (9) +12 =

We can now solve it by multiplying 3 * 9 which will give us 27. Then we can add 27 to 12.

27 + 12 = 39

Hope this helps!!

PLEASE HELP Draw the reflection of the figure over the line shown.

Answers

The answer is in the picture

The perimeter of an equilateral triangle is 30 cm. Find the length of each side of the triangle.

Answers

Answer:

10 cm

Step-by-step explanation:

The perimeter of a equilateral triangle is

P = 3s where s is the side length

30 = 3s

Divide each side by 3

30/3 = 3s/3

10 = s

10cm. perimeter is simply adding up all the sides. so 10+10+10 is 30 giving you each side of a 3 sided figure

someone please help me on this question

Answers

Answer:

3.5 m

Step-by-step explanation:

Use sine.

1. Set up the equation using sin = opposite / hypotenuse

sin 59 = 3/x

2. Solve

x = 3.5

The answer is going to be 3.5m

If a>b and b(b-a)>10, which of the following must be true? I. b<0 II. a<0 III. ab<0

Answers

Answer:

b<0

Step-by-step explanation:

b(b-a)>10

-5=b and -10=a for instance plug in

-5(-5-10)>10

-5(-15)>10 (negative x negative is positive)

75>10

Sandy bought a soft drink for two dollars and five candy bars. She spent
a total of seventeen dollars. How much did each candy bar cost ?

Answers

Answer:

3 dolla

Step-by-step explanation:

3. 17-2= 15 divided by 3= 5

What solid is represented by this net? A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid

Answers

i guess it is hexagonal pyramid

as it has 7 verticies

Points A(–3, –2) and C(4, 5) are the endpoints of a diagonal of a square. Give the coordinates of the other two vertices.

Answers

Answer:

B(4,-9) D(11,-2)

Step-by-step explanation:


9. Find the value of x. Using that value, what is the
measurement of ZUTQ?
thank you <3

Answers

Answer:

92°

Step-by-step explanation:

We know that [tex]\overline{QV}[/tex] is a straight line which means that we know that ∠QTU + ∠VTU = 180

11x+4+∠VTU = 180

∠VTU = 180-11x-4

∠VTU = 176-11x

Then, using the triangle inequality, we know that ∠VTU+∠TUV+∠UVT = 180

3x+14+54+176-11x=180

-8x+244=180

-8x = -64

x=8

Now we can substitute and solve for ∠UTQ

11(8)+4 = 88+4 = 92°

Answer: 92°

Step-by-step explanation:

Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?

Answers

Answer:

210.8 (mean for Luis), 241.5 (mean for Darcy)

Step-by-step explanation:

Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108

2108/10 = 210.8 (mean for Luis)

Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415

2415/10 = 241.5 (mean for Darcy)

Answer:

it is 210.8

Step-by-step explanation:

The surface area of a cube is 302.46 m2. The length of each side of the cube = ______ m. A. 6.7 B. 7.1 C. 50.4 D. not enough information given to solve

Answers

Answer:

  B. 7.1 m

Step-by-step explanation:

The surface area of a cube is given by ...

  SA = 6s^2

where s represents the side length.

Filling in the given information and solving for s, we have ...

  302.46 = 6s^2

  s = √(302.46/6) = 7.1 . . . . meters

The length of each side is 7.1 meters.

Answer:

B. 7.1

Step-by-step explanation:

Please help! Will mark as brainliest!

Answers

Answer:

x=10 and y=15

Step-by-step explanation:

1: Plug y into the equation

y=2x-5

5x-4(2x-5)=-10

2: Solve for x

-3x=-30

x=10

3: Plug x into the other equation

x=10

y=2(10)-5

4: Solve for y

y=15

Hope this helped! Brainliest would be really appreciated :)

Rosa’s work finding the median of a set of test scores is shown below.



Which statement best describes Rosa’s first error?
She should have reordered the elements from least to greatest.
She should have added the elements and divided by 9.
She should have counted repeated elements only once.
She should have found the difference between the first and last elements.

Answers

Answer:

She should have reordered the elements from least to greatest.

Step-by-step explanation:

when finding median you need to line up the number from least to greatest or it will not be right

Answer:

It’s A bro

Step-by-step explanation:

Took the quiz on EDG

I'm not sure how to do the math for this

Answers

3/7 x 364 =156ml of compund A

Answer:

156

Step-by-step explanation:

3 ml of compound A used for every 4 ml of compound B in total it's 7 ml

To calculate how many ml of A used in a 364 ml drug we can divide 364 by 7

364 ÷ 7 = 52 which means there are 52, 7 ml in the 364

since 7 ml drug contains 3 ml conpound A there is

52 × 3 = 156 of compound A in the 364 ml drug

write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind only 260 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air. please show step by step

Answers

Answer:

Plane speed = 40 m/s.

Wind speed = 300 m/s.

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

if the edges of the base of a rectangular prism are 8 cm and 6 cm, and the diagonal is 10√2, what is the volume of the solid?

Answers

Answer:

221.12 cm^3

Step-by-step explanation:

Imagine that you have the 6cm side of the prism base facing you, and that you cut the prism in half through the vertex.  Doing this will form two triangles.  The hypotenuse of the triangle is the same as the "diagonal" that is 10√2 cm.  The base of this triangle is half of the 6" side, or 3 cm.

Use the Pythagorean Theorem to determine the height (h) of the prism:

h^2 + 3^2 = (10√2)^2, or

h^2 = 200-9 = 191

Then the height is √191 cm

and the base area is 6cm times 8 cm, or 48 cm^2

and so we end up with the volume V = (1/3)(base area)(height), or

                                                           V = (1/3)(48 cm^2)(√191 cm), or

                                                                  roughly 221.12 cm^3

While making oatmeal cookies, Angela needs to add cup of milk to her dough. However, she has only a -cup measuring cup. How many times does she need to fill the measuring cup to pour cup of milk?

Answers

Answer:

Once

Step-by-step explanation:

She needs 1 cup of milk.

She has a cup measuring cup.

Therefore she will only to fill the measuring cup to pour cup of milk.

Answer:

1

Step-by-step explanation:

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