Answer:
k=-9
Step-by-step explanation:
The given functions are
and
We want to find the value of k, for which
This means we need to extract g(x) from f(x) to get:
Or
Therefore k=-9
percent of the observations lie within plus and minus 2.5 standard deviations of the mean is 84%
according to Chebyshev's theorem k=2.5
Chebyshev theorem:
The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied with this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.
This indicates that 1 - of the distribution will be close to the mean, or within k standard deviations.
Therefore, 1 -
⇒ 1-
⇒1-
⇒
⇒0.84
percent of the observations lie within plus and minus 2.5 standard deviations of the mean is 84%
Learn more about standard deviations here:
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in scientific notation, we leave only 1 digit to left of the decimal point.
now
35681000000 is really the same as 35681000000.0
so we can say the zero is way over there on the right-side, and we have to move it to the left, right in front of the "3", between "3" and "5", so the "3" is the only digit to the left of the decimal point.
to do that, we'll be moving it hmmmmm 10 slots over, therefore
35681000000
3.5681000000 x 10¹⁰
or
3.5681 x 10¹⁰ <---- using only significant digits.
Answer:
slope = 3
Step-by-step explanation:
5 - x1 -5 - y1
-1- x2 7 - y2
m= y2 - y1 / x2 - x1
m= 7 - (-5) / -1 -(-5)
m= 12 / 4
m= 3