Find the volume of the rectangular prism
2 answers:
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Given:
divded by
.
To find:
The solution for the given division problem.
Solution:
We have, divded by
. It can be written as
Therefore, the solution for the given division problem is .
Answer:
is the sum of positive integers between
(inclusive) and
(inclusive) that are not multiples of
and not multiples
.
Step-by-step explanation:
For an arithmetic series with:
as the first term,
as the last term, and
as the common difference,
there would be terms, where as the sum would be
.
Positive integers between (inclusive) and
(inclusive) include:
.
The common difference of this arithmetic series is . There would be
terms. The sum of these integers would thus be:
.
Similarly, positive integers between (inclusive) and
(inclusive) that are multiples of
include:
.
The common difference of this arithmetic series is . There would be
terms. The sum of these integers would thus be:
Positive integers between (inclusive) and
(inclusive) that are multiples of
include:
.
The common difference of this arithmetic series is . There would be
terms. The sum of these integers would thus be:
Positive integers between (inclusive) and
(inclusive) that are multiples of
(integers that are both multiples of
and multiples of
) include:
.
The common difference of this arithmetic series is . There would be
terms. The sum of these integers would thus be:
.
The requested sum will be equal to:
- the sum of all integers from
to
,
- minus the sum of all integer multiples of
between
and
, and the sum integer multiples of
between
- plus the sum of all integer multiples of
between
That is:
.
Given the table below which contains data from 200 endothemic reactions involving <span>sodium bicarbonate:
![\begin{tabular} {|c|c|} Final Temperature Conditions&Number of Reactions\\[1ex] 266 K&48\\ 271 K&60\\ 274 K&92 \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7C%7D%0AFinal%20Temperature%20Conditions%26Number%20of%20Reactions%5C%5C%5B1ex%5D%0A266%20K%2648%5C%5C%0A271%20K%2660%5C%5C%0A274%20K%2692%0A%5Cend%7Btabular%7D)
We find the probability distribution function as follows:
Let X denote the final temperature, then
</span>
<span>
</span>
We find the probability distribution function as follows:
Let X denote the final temperature, then
</span>
<span>