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MrRissso [65]
3 years ago
12

A 5-digit combination lock with digits 0-9 can be opened only if a correct combination of digits is chosen. Find the probability

of guessing the correct combination if: A. no digit is repeated a0 a1 B. digits can repeat and zero is not one of the digits in the combination a2 a3
Mathematics
2 answers:
sammy [17]3 years ago
7 0

The total number of combinations without restrictions is

10 * 10 * 10 * 10 * 10 = 100000

Problem A

10 * 9 * 8 * 7 * 6  = 30240

the number of ways the combination can be set up with no repetition.

The probability of such an event is P = 30240 / 100000 = 0.3024

Problem B

The number of ways that can be done with repetition and no zeros is

9 * 9 * 9 * 9 * 9 = 59049

The probability of such an event is

P = 59049 / 100000 = 0.59049

zlopas [31]3 years ago
4 0

Answer:

A. 0.3204

B. 0.59049

Step-by-step explanation:

Data:

The total number of combinations:

= (10)^{5} = 100 000

A.

The number of ways = 10 * 9 * 8* 7 = 30 240

The probability for an event P taking place = \frac{30 240}{100 000} \\= 0.3 024

B.

Number of ways to arrange the subjects = (9)^{4} = 59 049

The probability = \frac{59 049}{100 000} \\= 0.59049

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Answer:

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Step-by-step explanation:

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We know that logx ( y/z) = logx (y) - logz (z)

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Answer:

1. Behavior

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. y-intercept= -18

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Step-by-step explanation:

1. End behavior:

To find this you have to know the leading coefficient of the variable with the highest degree, and whether the degree is even or odd.  

(x + 3) = x positive, coefficient 1

(x + 2) = x positive, coefficient 1

(x − 3)=  x positive, coefficient 1

The coefficient is 1*1*1= 1 = positive

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The behavior for odd and positive will be:

g(x) is + ∞ when x=>+∞

g(x) is -∞ when x=>-∞

or

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. Y-intercept

The y-intercept is the value of y when the graph touches the y-axis. The y-axis is located at x=0, so to find the y-intercept you need to put x=0 on the graph function. Some graphs can have two y-intercepts but the graph on the question only has one. The calculation will be:

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y-intercept = 3*2*-3

y-intercept= -18

3. Zeros

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x_{1}+3=0

x_{1}=-3

x_{2} +2=0

x_{2}=-2

x_{3}-3=0

x_{3}=3

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Step-by-step explanation:

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LUCKY_DIMON [66]

Answer:

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Step-by-step explanation:

The equation of a line in slope- intercept form is

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