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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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Which region represents the solution to the given system of inequalities?
Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

 Given the following system of inequalities:

\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.

We need to graph the lines.

We have the line:

x+3y=-3

Solving for "y", we get:

3y=-x-3\\\\y=\frac{1}{3}x-1

Knowing that m=-\frac{1}{3} and b=-1, we can graph it.

Since the symbol is \leq, the line must be solid.

The other line is:

x=3

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is \geq, the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

0+3(0)\leq-3\\\\0\leq-3

This is false, therefore, we must shade the half that does not contain this point.

0\geq 3

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0
3 years ago
Read 2 more answers
What is -9x-(2x/-3) When x equals 7
yuradex [85]
-9x- \frac{2x}{-3}

-9*(7) -  \frac{2*7}{-3}

9*7 = 63

\frac{2*7}{-3}  =  \frac{14}{-3}

Apply the fraction  rule : \frac{a}{-b} = -  \frac{a}{b}

= - \frac{14}{3}

-63-( -\frac{14}{3} )

Apply rule  - ( - a) = a

-63+ \frac{14}{3}

Convert  element to fraction :

63 =  \frac{63}{1}

-\frac{63}{1} + \frac{14}{3}

Find the LCD 1*3 = 3

- \frac{63*3}{3}+ \frac{14}{3}

\frac{-3+63+14}{3} =  \frac{-175}{3}

<span>Apply the fraction  rule : \frac{a}{-b} = - \frac{a}{b}</span>

= - \frac{175}{3}

hope this helps!

4 0
3 years ago
2×2=<br><br> Have a nice night.
nydimaria [60]

Answer:

4

Step-by-step explanation:

3 0
2 years ago
Can someone please answer this?
rosijanka [135]

Answer:

13 foot rounded to the nearest foot

Step-by-step explanation:

the ratio is

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nose to head : x/60

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x=13 foot rounded to the nearest foot

3 0
3 years ago
Express in the form 1:n<br> 3:12
Troyanec [42]

Answer:

1:4

Step-by-step explanation:

Given

3: 12

To express in the form 1:n

Consider how to make 3 equal to 1, we simply divide 3 by 3 to get 1 as such, we would also divide 12 by 3

3:12

= 3/3:12/3

= 1:4

Comparing with 1:n, it is safe to say that n = 4

6 0
2 years ago
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