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Anon25 [30]
3 years ago
12

Tim’s bank requires its customers to have a 4-digit personal identification number (PIN) to access their accounts. If each digit

can be a value from 0 to 9, and a 4-digit number is randomly generated, what is the probability that the number 1234 will be Tim’s PIN? A. 1 6,561 B. 1 5,040 C. 10,000 D.1 10,000
Mathematics
2 answers:
Rina8888 [55]3 years ago
8 0
6,561 is your answer to this question
statuscvo [17]3 years ago
7 0

Answer:

1/10000

Step-by-step explanation:

There are 10 choices for each of the 4 digits.  This means the total number of choices for the PIN are

10(10)(10)(10) = 10000

The number 1234 will only appear 1 time in this list; this makes the probability it is Tim's PIN 1/10000.

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Solve -3x=2x^2-4 using quadratic formula
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Answer:

x=-2.35078, 0.850781

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

<u>Step 1: Define equation</u>

-3x = 2x² - 4

<u>Step 2: Rewrite into Standard Form</u>

0 = 2x² + 3x - 4

<u>Step 3: Define variables</u>

a = 2

b = 3

c = -4

<u>Step 4: Find </u><em><u>x</u></em>

  1. Substitute:                    x=\frac{-3\pm\sqrt{3^2-4(2)(-4)} }{2(2)}
  2. Evaluate:                       x=\frac{-3\pm\sqrt{9-4(2)(-4)} }{2(2)}
  3. Multiply:                        x=\frac{-3\pm\sqrt{9+32} }{4}
  4. Add:                              x=\frac{-3\pm\sqrt{41} }{4}
  5. Evaluate:                      x=\frac{-3\pm6.40312}{4}
  6. Evaluate:                      x=-2.35078, 0.850781

And we have our final answer!

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