d (1) = 3 d(n)-d(n-1)-14 Find the 3 er term of the succession.​

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

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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Answer:

it would decrease by 10%

Step-by-step explanation:

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price  

percentage change in price = ($10 - $8) / $8 = 0.25 x 100 = 25%

0.4 =  percentage change in quantity demanded / 25%

percentage change in quantity demanded = 25% x 0.4 = 10%

Answer:

4 hours

Step-by-step explanation:

Because 12 by 8 =96$ and 16 by 6 is equal to 96 too

Answer:

[tex]x + 54\ge 70[/tex]

[tex]x \ge 16[/tex]

Step-by-step explanation:

Given

[tex]Total = 70[/tex] (at least)

[tex]Accumulated = 54[/tex]

Required

Express as an inequality

In inequalities, at least means [tex]\ge[/tex]

So, the expression is:

[tex]x + Accumulated \ge Total[/tex]

Where x represents the additional points

[tex]x + 54\ge 70[/tex]

Solve for x

[tex]x \ge 70 - 54[/tex]

[tex]x \ge 16[/tex]

Hence, she needs at least 16 points

Answer:

angle KJG = angle FGJ (by alternateinteriorangle)

Answer:

B. 12.5

Step-by-step explanation:

where the box ends on the left side is the 1st quartile.

Answer:

$40

Step-by-step explanation:

5(*4)/12(*4)=20/48

If 20/48 of them had 2.00 tips then multiply 20*2= $40

Answer:

-25

Step-by-step explanation:

-9 - 2(-4 + 12) = -25

Answer:

a = 5(10²)/2

a = 5(100)/2

a = 250

Answer:

12 days

Step-by-step explanation:

1/6 per day

in 6 days- 1 pound

6x2=12 days=2 pounds

hope this helped :)

Answer:

The student can eat the cereal for 12 days

Step-by-step explanation:

2 divided by 1/6 is 12

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  y -4 = -1/3(x -9)

Step-by-step explanation:

The point-slope form of the equation for a line is useful for this.

  y -k = m(x -h) . . . . . . . line through point (h, k) with slope m

You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...

  y -4 = -1/3(x -9)

Answer:

J. 50x < 330 + 30x

Step-by-step explanation:

3+6+3

3+6=9+3=12

12 students received less than 6 gifts.

Hope this helps

Answer:

35

Step-by-step explanation:

3 + 2 = 5

7 times 5 = 35

Answer:

False true true true

Step-by-step explanation:

So sorry for the rough sketch but that is how it will reflect

Answer:

Step-by-step explanation:

Given;

Loan = $5,000

Interest rate = 13% charged at the end of each year

Question 1. Expression to represent the amount owed, in dollars, after;

a. After 1 year.

Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * 1 year )

= 5650

b. After 2 years.

Owed amount = Loan + accrued interest

= $5000 + ( 13% * $5000 * 2 years )

= $6300

c. After t years

Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * t years )= $5000 + $650t

Question 2. Explain how to convince someone that your expression for t years is correct.

Amount owned= borrowed amount + accrued interest

Accrued interest = Interest rate per year * Loan amount * time in years ( for simple interest case )

Loan amount = $5000

Time = t years

Interest rate = 13% per year

Accrued interest = 13% * $5000 *t years= $650t

Amount owned will therefore be; = Loan amount + Accrued interest

= $5000 + $650t

Answer:

x=105 _ 72

33 degrees....

Answer:

radius is 8cm

Step-by-step explanation: radius is half of diameter so 16/2= 8

Question

If the diameter of a circle is 16 cm, find it’s radius

soln'

diameter of circle=16cm

radius=?

now

radius formula=2 pie r where pie = 22/7

2*22/7*16

=96

Answer:

6.5 ft

Step-by-step explanation:

You must use Pythagoras theorem, which is a² + b² = c², then square root c to get answer

if 5.6 = a and 3.3 = b

5.6²+3.3²=42.25(=c²)

42.25 = c²

square root both sides

6.5 = c

Answer:

6.5 ft.

Step-by-step explanation:

To find this you can use the Pythagorean Theorem. [tex]a^2+b^2=c^2[/tex]

[tex]5.6^2 + 3.3^2=C^2[/tex]

31.36+10.89=[tex]C^2[/tex]

42.25=[tex]C^2[/tex]

NOW you have to square root both sides of the equation

[tex]\sqrt{42.25} = \sqrt{C^2}[/tex]

You square root both sides so you can get ride of the exponent on C

So, your answer is 6.5=C

hope this helps :)

p.s. for further questions, [tex]c^2[/tex], is always the opposite side of the right angle.  :)

Answer:

3x=15

Step-by-step explanation:

3(5)=15 it's the only one where x can be 5

Answer:

So sorry but I have no idea, also have a great weekend!

Answer:

i think its 832 im not for sure

Step-by-step explanation:

Answer:

mmmm

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

2/3-3/9

multiply 2/3 by 3/3 to get the common denominator 9

2/3*3/3-3/9

6/9-3/9

3/9

simplify

1/3

Answer: -11/15

Step-by-step explanation: To subtract fractions, find the LCD and then combine them.

Answer:

Multiply each le and divde from the one on the left

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

180-135= 45

45 + 77 = 122

180 -122 = 58

Answer: A C E RECTANGLE QUADRILATERAL PARELLELOGRAM

Step-by-step explanation: