14, 21
Step-by-step explanation:
Let the two consecutive multiples be 7n and 7(n+1).
Now, it is given that:
(7n)² + [7(n+1)]² = 637
Simplifying,
49n² + (7n+7)² = 637
49n² + 49n² + 2(7n)(7) + 49 = 637
(as (x+y)² = x² + y² + 2xy)
98n² + 98n + 49 = 637
98n² + 98n - 588 = 0
Dividing by 98 to further simplify,
n² + n - 6 = 0
Factorising, we get
n² + 3n - 2n - 6 = 0
n(n+3) - 2(n+3) = 0
(n+3)(n-2) = 0
Therefore we get n = -3 or n = +2.
Hence, we get the consecutive multiples as 14 and 21.
Feel free to ask if you didn't understand any part.
Hope this helps! :D
Please write the full question, you wrote half of the question. If you could write the full one, I could probably be able to answer it
<span>They are finite sums of expressions of the form where a is a constant, x is the variable and k is a non-negative integer</span>
Let
n = number of data
s = standard deviation (sample)
S = standard deviation (population)
The working equations is

To find

, : (1 - 0.90)/2 = 0.05
To find

, : 1 - 0.05 = 0.95
Degrees of freedom = n-1 = 24 - 1 = 23
This is shown in the figure attached. Since there is no row for df=23, we interpolate. Thus,
Substitute all values,

Thus the answer is,
Answer:
See explanation for answer
Step-by-step explanation:
As far as I know, the best way to solve this it to guess and check. You can make some logical inferences, for instance that you probably won't be dividing or multiplying 5 and 7, as the resulting number would either not be an integer or would be too large. Thinking like this, you can find that
. Hope this helps!