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3 years ago

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Explain prime factorization of 2025

1 answer:

gregori [183]3 years ago

4 0

Hi , we are going to begin with the numbers that are divisible with 2025 .
Basically I'm aware that 2 is not divisible , so we are going to use 3 .
2025 divided by 3 = 675 divided by 3 = 225 divided by 3 = 75 divided by 3 = 25 divided by 5 = 5
I used 5 because I cant use 3 , in other words you can divide 25 and 3 , but you will not get a whole number .I stopped when I divided 25 and 5 because I got 5 which is a [prime number] , when you are doing this type of exercises , when you see a prime number you have to stop.
So the prime factorization is 3 times 3 times 3 times 3 times 5 times 5.

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Step-by-step explanation:

We have that:

P(X = 0) = 0.25

P(X = 1) = 0.3

P(X = 2) = 0.1

P(X = 3) = 0.35

Mean:

Each value multiplied by its probability. So

$M = 0*0.25 + 1*0.3 + 2*0.1 + 3*0.35 = 1.55$

Variance:

Sum of the squares of the values subtracted from the mean, and multiplied by its probability.

$V = 0.25*(0-1.55)^2 + 0.3*(1-1.55)^2 + 0.1*(2-1.55)^2 + 0.35*(3-1.55)^2 = 1.4475$

Standard deviation:

Square root of the variance. So

$S = \sqrt{V} = \sqrt{1.4475} = 1.2$

The standard deviation of this probability distribution is 1.2.

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