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worty [1.4K]
3 years ago
9

A certain model car has a keypad with 5 numbers on the door. To open the door, 5 numbers must be entered in the correct

Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

Answer:  A. \dfrac{1}{120}

Step-by-step explanation:

Total digits on keypad = 5

According to permutation,

If repetition of digits is not allowed then the number of 5-digits passwords can be formed = 5!

= 5 x 4 x 3 x 2 x 1         [n!=n x (n-1) x (n-2)x ... x 1]

=120

The probability that someone guesses the correct code = \dfrac{\text{Number of correct codes}}{\text{Total possible codes}}

=\dfrac{1}{120}

Hence, the correct option is A.

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The equation of line parallel toy=-\frac{1}{5} x +7 and containing the point(-10,-3) is y=-\frac{1}{5}x-5

Step-by-step explanation:

We need to write the equation parallel to y=-\frac{1}{5} x +7 and containing the point(-10,-3)

The standard form of point slope equation is:

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Comparing the given equation  y=-\frac{1}{5} x +7 with standard form the slope is m= -1/5

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y=mx+b\\-3=-\frac{1}{5}(-10)+b\\-3=2+b\\b=-3-2\\b=-5

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So, The equation of line parallel toy=-\frac{1}{5} x +7 and containing the point(-10,-3) is y=-\frac{1}{5}x-5

Keywords: Point Slope form

Learn more about point slope form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/4097107

#learnwithBrainly

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