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valkas [14]
3 years ago
7

PLEASE HELP WITH THIS

Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0
Hello,
Please, see the attached files.
Thanks.

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in a five character password the first two characters must be digits and the last three characters must be letters if no charact
Vilka [71]

Answer:

1,404,000 unique passwords are possible.

Step-by-step explanation:

The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

2 digits from a set of 10(there are 10 possible digits, 0-9).

3 characters from a set of 26. So

P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000

1,404,000 unique passwords are possible.

5 0
3 years ago
Micah invested $3450 in an account paying simple interest. At the end of 6 years, the value of
tatuchka [14]
Answer: 2.5%

3967.50 - 3450 = 517. 50

i = prt/100

i = 517.50, p = 3450, t = 6

517.50 = 3450 x r x 6/ 100

517.50 = 20700r/100

517.50 = 20700r

517.50/20700 = r

r = 0.025 = 2.5%
8 0
2 years ago
Read 2 more answers
Find the range of the data set with the outlier {16, 15, 19, 14, 18, 20, 45, 22, 16, 25}.
Lena [83]
The range is 31.

To find the range, you subtract the smallest number, in this case 14, from the largest number, in this case 45.
8 0
3 years ago
(b)The sum of n terms of a certain series is 3n² + 10n for all values
Angelina_Jolie [31]

Step-by-step explanation:

The nth term just mean how to work out the next number in he series. In this series of numbers, you have to square three n and add it onto 10 n to do this.

N is the term- the number it comes in the sequence.

Example:

2 3 4 5 6

2= the first terof the sequence

3= second term

4=3rd term

And so on

To work out what the next term is (6th term) you use this expression:

N+1

The first term is 2. As it is the first n=1. 1+1=2 so that works

The seco d term is 3. As it is the second term n=2. 2+1+3 so that works

And so on

This might help

But you have to do the rest

5 0
3 years ago
Use the completed X diagram to replace the x-term in the trinomial with two x-terms. x2 + x – 42 = x2 + ? -42 Next, use double g
dmitriy555 [2]

Answer:

7x-6x, x+7, 6 , (x-6)(x+7), multiply

Step-by-step explanation:

8 0
3 years ago
Read 3 more answers
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