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Maurinko [17]
3 years ago
10

A combination lock requires a user to select three numbers to unlock it, where all three numbers are between 1 to 30, inclusive,

and numbers can be used more than once. What is the probability someone can guess the correct combination given 100 attempts?
Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

Answer:

\frac{1}{270}=0.00370

Step-by-step explanation:

As the numbers are only between 1 and 30

Total number of possible combinations = 30×30×30 = 27000

If there are 100 attempts then

\text{P (someone guesses correct)}=\frac{\text{Number of attempts}}{\text{Total number of possible combinations}}\\\Rightarrow \text{P (someone guesses correct)}=\frac{100}{27000}\\\Rightarrow \text{P (someone guesses correct)}=\frac{1}{270}=0.00370

∴ Probability someone can guess the correct combination given 100 attempts is \mathbf{\frac{1}{270}=0.00370}

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The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

<h3>What is null hypothesis?</h3>

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

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2 years ago
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| &lt; 1.
Paul [167]
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it's like this. say you are on one side of a playground
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5 0
3 years ago
PLEASE HELP BEST ANSWER GETS BRANLIEST
BARSIC [14]
C. The distance between A and C
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5 0
3 years ago
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Arrange the steps as you would to solve:
Lena [83]

Answer:

1) Add 3n to both sides

2) Subtract 5 from both sides

3) Divide both sides by 6

n=3

Step-by-step explanation:

3n+5=23-3n

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6n+5=23

-5 -5

6n=18

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4 0
3 years ago
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inna [77]

Answer:

m = 1 and b = 5/7

Step-by-step explanation:

Take two of the points. The first two. (7, 5) and (8, 6).

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y2-y1/x2-x1

We can sub in the values:

6-5/8-7 = 1/1 = 1

So the slope is 1

now, putting this into y=mx+b, and using one of the coordinates from earlier, we can solve for b:

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Therefore, m = 1 and b = 5/7

Hope this helps!

3 0
3 years ago
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