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ipn [44]
3 years ago
7

A padlock has the digits 0 through 9 arranged in a circle on its face. A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is fou

r digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face. For example 0-2-7-1 is a valid combination, but neither 0-4-4-7 (repeated digit 4) nor 3-0-9-5 (adjacent digits 0-9) are permitted. How many combinations are possible?
Mathematics
1 answer:
stepan [7]3 years ago
8 0

Answer:

The total numbers of possible combinations are 3430.

Step-by-step explanation:

Consider the provided information.

A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.

Here, for the first digit we have 10 choices.

For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.

For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.

For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.

So the number of choices are:

10\times 7\times 7\times 7=10\times 7^3\\10\times 343=3430

Hence, the total numbers of possible combinations are 3430.

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disa [49]

Answer:

56503

Step-by-step explanation:

this grows exponentialy so at the start it would be 50,000 growing by 5% every ten years. but since there is only 2 ten years in 25 years we must cut the percent in half making 2.5%

Step 1

(50,000×5%)+50,000= 52500

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2 years ago
What is measure of egf?​
BartSMP [9]

Answer:

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Step-by-step explanation:

Since EF = EG the triangle is isosceles and the base angles are equal, that is

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7 0
3 years ago
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Answer:

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——————-
4 0
2 years ago
Ms. McClain conducted an experiment
joja [24]

Answer:  1

Step-by-step explanation:

Experimental probability is the actual result you get from an experement.

Theoretical probability is the change that you will get that result.

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therefore,

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for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.

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8 0
3 years ago
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Answer:

1. Yes the parentheses are necessary. To find a fourth of her regular hours you must find the total amount she works during her regular hours.

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Step-by-step explanation:

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3 years ago
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