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From 12 different letters, 3326400 arrangements can be made using the letters in the word CARELESSNESS.

When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Among the 12 letters in CARELESSNESS,

there are 4 S’s, 3 E’s, and 1 each of C, A, R, L, N.

There are 12! = 479,001,600 arrangements (permutations) of the 12 letters,

most of which are identical because of repeated letters.

In order that each permutation be distinct, repeat letters have to be accounted for.

4 S’s be in 4! = 24 ways,

3 E’s, in 3! = 6 ways.

And 1! = 1 way.

Distinct permutations as requested,

thus = 12!/(3!)(4!)(1!)

       = 3326400.

Therefore, 3326400  different 12-letter arrangements can be made using the letters in the word CARELESSNESS.

To learn more about the permutation;

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Exact Answer:     x = 16/3

Approximate Answer:      x = 5.333

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Work Shown:

base = 3x-1

height = x

area of triangle = (base*height)/2

40 = x*(3x-1)/2

40*2 = 3x^2 - x

80 = 3x^2 - x

0 = 3x^2 - x - 80

3x^2 - x - 80 = 0

Now apply the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-80)}}{2(3)}\\\\x = \frac{1\pm\sqrt{961}}{6}\\\\x = \frac{1\pm31}{6}\\\\x = \frac{1+31}{6} \ \text{ or } \ x = \frac{1-31}{6}\\\\x = \frac{32}{6} \ \text{ or } \ x = \frac{-30}{6}\\\\x = \frac{16}{3} \ \text{ or } \ x = -5\\\\x \approx 5.333 \ \text{ or } \ x = -5\\\\[/tex]

A negative height doesn't make sense, so we ignore x = -5

The only solution is x = 16/3 which approximates to x = 5.333

Answer:

67% (rounded)

Step-by-step explanation:

Since there is 1-6,

There is 3,4,5,6 which is 4/6 chance being above 2.

2/3 = 66.6%  

Answer:1/36

Step-by-step explanation:

Answer: 72cm³

Step-by-step explanation:

The picture here is a cuboid. The volume of a cuboid is calculated using the formula:

= Length × Width × Height

= 6cm × 3cm × 4cm

= 72cm³

Therefore, the volume is 72cm³

Answer:

d. 3,200

Step-by-step explanation:

If the total population consists of 32,000 people, a sample of the population selected will consist of a number equal or less than 32,000 people.

From the given options, the only option that matches the above explanation is "D" which is less than 32,000 people.

Therefore, the correct answer choice is D. 3,200.

Answer:

it is 6.4*5.8 brainliest?

Step-by-step explanation:

Answer:

A = $122.99

Step-by-step explanation:

A = P + I where

P (principal) = $100.00

I (interest) = $22.99

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 100.00(1 + 0.03/1)(1)(7)

A = 100.00(1 + 0.03)(7)

A = $122.99

Therefore:

The total amount accrued on a principal of $100.00 at a rate of 3% per year compounded 1 time per year over 7 years is $122.99.

Answer:

B) 63 ft.

Step-by-step explanation:

To find how long it takes for a rotation, we need to find the circumference.

To do so, we use the formula 2(pi)r

To find the radius, we divide the diameter in half :

d = 20

r = d/2

r = 20 / 2

r = 10

Then, we plug that into the formula :

2(pi)10

Insert that into your calculator :

2(pi)10 = 62.83

Simplify :

62.83 = 63 ft.

Answer:

3/7

Step-by-step explanation:

There are 7 letters in ALABAMA. And there are 4 A's in ALABAMA. So if you're trying to not get an A then you would subtract 4 from 7. Which you would get 3/7 of the letters in ALABAMA are not A.

Answer:

I believe thats the furthest

Step-by-step explanation:

Answer:

there are seven variable terms

Step-by-step explanation:

variables are letters (a, b, c, etc.)

i hope this helps :)

Answer:

The answer is 4 because are all separate variables (also  combines into one variable)

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

there are 2 multiples of 3, 3 and 6

2/8=1/4

Answer: 1/4 chance (second option on the screen)

Step-by-step explanation:

dw probability is confusing to a lot of ppl

so if you count the sections theres 8 in all

to see the probability we must find how many times we will get a positive outcome, or what we want (the multiple of 3)

lets see how many multiples of 3 there are

theres 3 and 6

thats  two out of the eight possible outcomes at any moment u spin the spinner

so thats an 2/8 chance

you can simplify that fraction to a 1/4 chance, so its the second option on your screen

Answer:

Step-by-step explanation:

The very bottom one I am sure

Answer:

y=2x+2

Step-by-step explanation:

Answer:

15 + 0.05x ≤ 50

Step-by-step explanation:

The cost needs to be less than or equal to 50. Thus, the equation would be

15 + 0.05x ≤ 50

Answer:

1920

Step-by-step explanation:

Volume of larger rectangular prism: 10 * 8 * 14 = 1120

Volume of smaller rectangular prism: 10 * 10 * 8 = 800

Volume of whole prism: 1120 + 800 = 1920

Hence, your answer is 1920

Answer:

i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh

Step-by-step explanation:

Answer:

d) I, II and III.

Step-by-step explanation:

Two circles are similar when the two circles have different or equal radii. In case I, we have similar circles that are congruent and non-concentric, since their radii are equal. In case II, we find two similar circles which are secant to each other. Lastly, the case III represents two similar circles which are concentric.

Therefore, I, II and III show pairs of similar circles.

Answer:

[tex] 4 \:cm^2 [/tex]

Step-by-step explanation:

Total area of the figure

[tex] = \frac{1}{2} bh \\ \\ = \frac{1}{2} \times 4 \times 2 \\ \\ = 4 \: {cm}^{2} [/tex]

Answer:

Im sorry i dont understand what you mean by sentence but there are 6 boys

Step-by-step explanation:

Answer:

b^-6

Step-by-step explanation:

Answer:

c=-18 d=2

Step-by-step explanation:

[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]

The equation tells that when the two matrices are subtracted we get the resultant matrix.

Each element of the first matrix corresponds to each element of the second matrix

From above

6- (c+2)= 22

6- c-2= 22

4-c= 22

-c= 22-4

-c= 18

c= -18

And

15-( d-4)= 17

15- d+4= 17

19-d= 17

-d= 17-19

-d= -2

d= 2

Answer:

D

Step-by-step explanation:

c= -18

d= 2

Answer:

True

Step-by-step explanation:

Answer:

i think its true but u can also copy and paste some of it like this: Is the energy transferred from a firepit to my cold hands transferred through the process called radiation?

Step-by-step explanation:

Answer:

Oh boy, here we go:

17) 20

18) 135

19) 142

20) 14

21) No

10) B (I believe)

11) A

12) A

13) A

14) A

15) A (I don't know why these are all A...)

16) C (Yay, it's not A)

Step-by-step explanation:

I think you need this ASAP and don't want to wait for me to type this all out...

Answer:

17.

45 + 5x + 35 = 180

5x + 80 = 180

x = 20

18.

5x + 35

5(20) + 35 = 135 degrees

19. Choice D. 142

20. Choice C

5x - 10 = 60

x = 14

21. Yes

10. Choice B (-3, -5)

11. Choice A (-3, 2)

12. Choice B, reflection across the y-axis

13. Choice A, y-axis

14. Choice A

15. Choice A

16. Choice A

Answer:

Option. A

Step-by-step explanation:

Have a great day!

Answer: A

Step-by-step explanation: there's 8 spaces on the spinner