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Otrada [13]
2 years ago
5

Find the mean 35 40 12 16 25 10

Mathematics
1 answer:
ruslelena [56]2 years ago
4 0

Answer: Mean = 23

Step-by-step explanation:

<u>Given information:</u>

35, 40, 12, 16, 25, 10

<u>Given formula:</u>

Mean~=~\frac{Sum~of~terms}{Number~of~terms}

<u>Substitute values into the formula</u>

Mean~=~\frac{35~+~40~+~12~+~16~+~25~+~10}{6}

<u>Combine like terms</u>

Mean~=~\frac{75~+~28~+~35}{6}

Mean~=~\frac{103~+~35}{6}

Mean~=~\frac{138}{6}

<u>Simplify the fraction</u>

\Large\boxed{Mean=23}

Hope this helps!! :)

Please let me know if you have any questions

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Answer:

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Step-by-step explanation:

We are given the following:

\frac{x}{5}=q_1+\frac{4}{5}      (equ. 1)

\frac{y}{5}=q_2+\frac{1}{5}      (equ. 2)

We are asked:

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The q_i's represent the quotients you get.

r is the remainder of dividing x+y by 5.

We know that r is a number in {0,1,2,3,4}.

x=5q_1+4 (I got this by multiplying both sides of equ 1. by 5.)

y=5q_2+1 (I got this by multiplying both sides of equ 2. by 5.)

Let's add these equations together:

x+y=(5q_1+5q_2)+(4+1)

Factoring the 5 out for the q_i's part and simplify 4+1 gives:

x+y=5(q_1+q_2)+5

So 5 can't be the remainder of dividing something by 5 but see that we can factor this right hand expression more as:

x+y=5(q_1+q_2+1)

So q_3=q_1+q_2+1 while there is no remainder (the remainder is 0).

Let's do an example if you are not convinced at this point that the remainder will be 0.

So choose x=9 since 9/5 gives a remainder of 4.

And choose y=16 since 16/5 gives a remainder of 1.

x+y=9+16=25 and 25/5 gives a remainder of 0.

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