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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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how can you write a sum of numbers as the product of their GCF (greatest common factor)and another sum?
Rama09 [41]
Example: 12+24 GCF: 12: 1,2,3,4,6,12 24: 1,2,3,4,6,8,24 Common factors: 1,2,3,4,6 Greatest factor: 6 Divide: 12 divided 6= 2 24 divided 6= 4 12+24= 6x(2+4)
6 0
3 years ago
Consider the equation 1/3x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original eq
Ierofanga [76]

Answer:

(-6,4)

Step-by-step explanation:

1/3x − 2 = x + 2 is obtained by equating the following two functions:

y = (⅓)x - 2

y = x + 2

Graph:

Draw two straight lines

1) joining (0,-2) and (6,0)

2) joining (0,2) and (-2,0)

On the graph, you'll see that the above two lines intersect at: (-6,4)

Hence the solution is (-6,4)

5 0
3 years ago
A rectangular prism with a volume of 101010 cubic units is filled with cubes with side lengths of \dfrac12
lawyer [7]
Given that the volume of the prism is given by:
10 cubic units and the the side length of cubes to fill the prism is 1/2 units. Then the number of cubes required to fill the prism will be given by:
(volume of rectangular prism)/(volume of cube)
but
volume of cube is:
volume=length*width*height
volume=1/2×1/2×1/2=1/8 cubic units
thus the number of cubes required to fill the prism will be:
10/(1/8)
=10×8/1
=80 cube
Answer: 80 cubes
4 0
3 years ago
Read 2 more answers
Question 10 (7 points) d Elizabeth borrowed $20,000 for five years at a 5% annual interest rate, what is her monthly payment, to
zhenek [66]

Answer:

monthly payment is $377

C is the correct option.

Step-by-step explanation:

The formula for the monthly payment is given by

C=\frac{Prt(1+r)^n}{(1+r)^n-1}

Given that,

P =  $20,000

n = 5 years = 60 months

r = 0.05

Substituting these values in the formula

C=\frac{20000\cdot \frac{0.05}{12}(1+\frac{0.05}{12})^{60}}{(1+\frac{0.05}{12})^{60}-1}

On simplifying, we get

C=\$377.425\\\\C\approx \$377

Therefore, the monthly payment is $377

C is the correct option.

4 0
3 years ago
Please help me and answer correctly!
LenKa [72]
A^-b = 1/a^b
a^b / a^c = a^b-c
a^c / b^c =(a/b)^c

3 0
3 years ago
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