Answer:
11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
Permutations of four letters from a set of 12 letters. So

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet
Answer:
<u>1/8910720</u>
Step-by-step explanation:
Number of ways they can be chosen :
⇒ 17 × 16 × 15 × 14 × 13 × 12
⇒ 272 × 15 × 14 × 13 × 12
⇒ 4080 × 14 × 13 × 12
⇒ 57120 × 13 × 12
⇒ 742560 × 12
⇒ <u>8910720</u>
Hence, the probability will be :
⇒ P = 1 / number of ways
⇒ P = <u>1/8910720</u>
Use the slope equation:

Plug in the points (2, 15) and (0, -1).

⇒

= 8
The slope of the line is 8.
The correct answer is A, as the DVD player's price was reduced by $ 3.82 more than the stereo tuner's price.
In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store, and he marked down DVD players by 36%, and he marked down stereo tuners by 22%, if DVD Players cost $ 41.60 after the markdown and stereo tuners cost $ 69.42 after the markdown.
To determine which item's price was reduced by more, and by how many dollars more was it reduced, the following calculation must be performed:
- 100 - 36 = 64
- 64 = 41.60
- 100 = X
- 100 x 41.60 / 64 = X
- 4160/64 = X
- 65 = X
- 65 - 41.60 = 23.40
- 100 - 22 = 78
- 78 = 69.42
- 100 = X
- 69.42 x 100/78 = X
- 6942/78 = X
- 89 = X
- 89 - 69.42 = 19.58
Therefore, the DVD player's price was reduced by $ 3.82 more than the stereo tuner's price.
Learn more about maths in brainly.com/question/18629331
Answer:
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Step-by-step explanation: