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Mice21 [21]
3 years ago
11

How many ways can a 4 digit password be formed?

Mathematics
2 answers:
Stella [2.4K]3 years ago
8 0
We have 10 digits to choose 4 digits.
If repetition is allowed, we'd have 10 digits in the first slot, 10 digits in the second slot, and so on.
Hence, there are 10 000 ways to pick 4 digits.

Now, if repetition is not allowed, then we need to change the restrictions somehow.
If numbers cannot be repeated, then we can have 10 in the first slot, 9 in the second slot, 8 in the third slot, and 7 in the fourth slot, which makes 5040 ways.

If we want to understand this in permutations, then we have 10 objects to pick 4 different numbers, and so we can have 10P4 ways in forming a 4-digit password.
Alex_Xolod [135]3 years ago
3 0
<span> it can be solved in over 9000 ways possibility  </span>
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Geet sells televisions. He earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty
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The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard
Anarel [89]

Answer:

a) 266 tubes ,  TC_r = $53.2

b) 266 tubes ,  T.Loss = $13.30

Step-by-step explanation:

Given:

- The sample size of tubes n = 1,000 tubes

- The mean of the sample u = 6.5 oz

- The standard deviation of the sample s.d = 0.8 oz

- Cost of manufacturing a tube C_t = 50 cents

- Cost of refilling a tube C_r = 20 cents

- Profit loss per tube Loss = 5 cents

Find:

a). How many tubes will be found to contain less than 6 ounces? In that case, what will be the total cost of the  refill?

b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of  profit lost?

Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where,                         X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

Compute the Z-score value:

                  P ( X < 6 oz ) =  P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

Use the Z table to find the probability:

                               P ( X < 6 oz ) = P ( Z < -0.625 ) = 0.266

- The probability that it lies below 6 ounces. The total sample size is n = 1000.

       The number of tubes with X < 6 ounces = 1000* P ( X < 6 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            TC_r = C_f*(number of tubes with X < 6)

                            TC_r = 20*266 = 5320 cents = $53.2

- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

                  P ( X > 7 oz ) =  P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

Use the Z table to find the probability:

                               P ( X > 7 oz ) = P ( Z > 0.625 ) = 0.266

- The probability that it lies above 7 ounces. The total sample size is n = 1000.

       The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            T.Loss = Loss*(number of tubes with X > 7)

                            T.Loss = 5*266 = 1330 cents = $13.30

5 0
2 years ago
The dimensions of a rectangles are 8cm and 12cm. What is the ratio of its length to its perimeter?
kari74 [83]

Answer:

Dimensions = 8 CM and 12 CM

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= 2( 12 + 8)

= 2 ( 20)

= 40 CM

ratio = 12/40

= 6/20

= 3/10

<h2>= 3 : 10 </h2>
3 0
1 year ago
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