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hichkok12 [17]
2 years ago
7

Prove that if m, d, and k are integers and d > 0, then (m + dk) mod d = m mod d.

Mathematics
1 answer:
masya89 [10]2 years ago
6 0
From the rules of modular arithmetic, (A+B)mod C= (A)modC +(B)modC

So,  (m + dk) mod d =  (m) mod d+<span> (dk) mod d

clearly </span>(dk) mod d = 0, as one of the things (dk) mod d represents, is the remainder of dk, when divided by d, which is clearly 0.


Thus

(m + dk) mod d =  (m) mod d+ (dk) mod d= (m) mod d+ 0=(m) mod d


(m + dk) mod d =(m) mod d
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A group of friends has gotten very competitive with their board game nights. They have found that overall, they each have won an
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The standard deviation is  4 games

A standard deviation (or σ) is a measure of how dispersed the facts are in relation to the mean. Low general deviation method statistics are clustered around the imply, and excessive trendy deviation indicates facts are more unfold.

Don't forget the statistics set: 2, 1, 3, 2, four. The mean and the sum of squares of deviations of the observations from the mean will be 2. 4 and 5.2, respectively. as a consequence, the same standard deviation could be √(5.2/5) = 1.01.

In data, the same old deviation is a degree of the quantity of variant or dispersion of a set of values. A low preferred deviation indicates that the values tend to be close to the mean of the set, while a high general deviation shows that the values unfold out over a much broader variety.

Given that,

mean = μ = 18

standard deviation = Σ =  6

n = 2

μ  x =  μ = 18 games

√  x = Σ / √ = 6  

√2 = 4 games

Learn  more about standard deviation here brainly.com/question/12402189

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