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tensa zangetsu [6.8K]
2 years ago
14

Four numbers from the set 0 to 9, including 0 and 9, are used to create a personal identification number. Once a number is used,

it cannot be reused. How many possible outcomes exist for the situation? How many possible outcomes begin with a 0? What is the theoretical probability of choosing a personal identification number that begins with a 0?
Mathematics
2 answers:
Neporo4naja [7]2 years ago
8 0

Answer:

Four numbers from the set 0 to 9, including 0 and 9, are used to create a personal identification number. Once a number is used, it cannot be reused.

How many possible outcomes exist for the situation? 5040

How many possible outcomes begin with a 0? 504

What is the theoretical probability of choosing a personal identification number that begins with a 0? .1

Hope this helps! Brainliest plz

Novay_Z [31]2 years ago
5 0
Possible outcomes: 5040 
Possible to begin with a 0: 504
Theoretical probability: 0.1

These are the correct answers



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Find an equation of the line containing the centers of the two circles whose equations are given below.
Anna35 [415]

Answer:

<h2><em>3y+x = -5</em></h2>

Step-by-step explanation:

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Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles,<em> we will compare both equations with the general form of the equation above as shown;</em>

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

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2g/2 = 4/2

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2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

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Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

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m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

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y = -1/3 x + (-5/3)

y = -x/3-5/3

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3y+x = -5

<em>Hence the equation of the line containing the centers of the two circles is 3y+x = -5</em>

5 0
2 years ago
I need to write a decimal where the value of a digit is 1/10 as much as a digit in another place
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Refer to the diagram below
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The digit 6 in 2.56 is 6/100
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The digit 6 in 2.56 is 1/10 as much as the digit 6 in 2.68

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Answer:

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Step-by-step explanation:

A response variable in statistics is the idea or concept of needs to be proven right or wrong. It remains a response variable until it has been proven.  

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