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LekaFEV [45]
3 years ago
5

For your own safety, the bank representative says that the following characteristics of PIN numbers are prohibited:________. 1)

all four digits identical, 2) sequence of consecutive ascending or descending digits, such as 0123 or 3210, 3) any sequence starting with 19 or 20 (birth years). How many sequences would NOT be permitted?
Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer:

Total = N(1) +N(2)+N(3) = 10+14+200 = 224 sequences

224 sequences would NOT be permitted.

Step-by-step explanation:

1) all four digits identical

Number of possible PIN with all four digits identical N(1) = 1×1×1×10 = 10 possible PIN

2) sequence of consecutive ascending or descending digits N(2) = 14

Only Ascending starting with 0,1,2 = 3

only descending for 7,8,9 = 3

and both for 3,4,5,6 = (2×4)

Total = 3+3+(2×4) = 14

3) any sequence starting with 19 or 20 (birth years

N(3) = 2 × 1×1×10×10 = 2×100 = 200

N(3) = 200

(Note : 100 possible ways for each of 19 or 20s)

Total = N(1) +N(2)+N(3) = 10+14+200 = 224

224 sequences would NOT be permitted.

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3 0
3 years ago
Please help with 11,12,13
faltersainse [42]

Problem 11

<h3>Answer:  h = 2A/b</h3>

------------------

Explanation:

We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b

A = (1/2)*b*h

2A = b*h

b*h = 2A

h = 2A/b

================================================

Problem 12

<h3>Answers:</h3>
  • Equation:   (n+2)/5 = 14
  • Solution to that equation:  n = 68

------------------

Explanation:

The number n is increased by 2 to get n+2

Then we divide by 5 to get (n+2)/5

This is set equal to 14 to get the equation (n+2)/5 = 14

Solving the equation would look like this

(n+2)/5 = 14

n+2 = 5*14 .... multiply both sides by 5

n+2 = 70

n = 70-2 .... subtract 2 from both sides

n = 68

================================================

Problem 13

<h3>Answer: Not a solution</h3>

------------------

Explanation:

We'll replace every copy of x with -3 and simplify

-2x + 5 > 13

-2*(-3) + 5 > 13

6 + 5 > 13

11 > 13

The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.

Therefore, x = -3 is not a solution.

3 0
2 years ago
2. A rectangle has a width, w and a length that is 3 more than 2 times longer than the width.
nika2105 [10]

Answer:

2w+2(3+2w)=P, w*(3+2w)=A

Step-by-step explanation:

if w is 2, then P=4+14, and A=2*7.

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2 years ago
Linear equations and interception
iVinArrow [24]

Answer:

x - intercept = 6

y - intercept = 3

Step-by-step explanation:

To find x - intercept, substitute y = 0 in the equation and solve for x.

x = 6

Similarly, To find y - intercept, substitute x = 0 in the equation and solve for y.

y = 3

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2 years ago
Jane’s cell phone plan is $40 each month plus $0.15 per minute for each minute over 200 minutes of call time. Janes cell phone b
san4es73 [151]

Answer:

The equation is 40+0.15m = 58.00 whose solution is m =120\:minutes.

Step-by-step explanation:

Let us call m the number of minutes the phone is used over 200 minutes, then we have

\boxed{40+0.15m = 58.00} <em>(this says monthly bill of $40 plus the cost of phone usage over 200 minutes must equal $58 )</em>

This equation can be used to solve for  m u as follows:

0.15m = 58-40

m = \dfrac{18}{0.15}

\boxed{m = 120\:minutes}

8 0
3 years ago
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