Which set of population data is the least dispersed from its mean? 2, 3, 2, 9 4, 0, 4, 0 6, 2, 2, 2 9, 3, 5, 3.
exis [7]
The set of data 6, 2, 2, 2 will have the least dispersion from its mean.
<h3 /><h3>What will be the mean?</h3>
From four sets of data, we take the mean of 6,2,2,2
So the mean will be
So the mean of the data (6,2,2,2) is 3 which has the least dispersion from its every data as compared to the other data
Thus the set of data 6, 2, 2, 2 will have the least dispersion from their mean.
<h3 />
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<span>The correct answer is 216x</span>⁶<span>y</span>⁵<span>.
Explanation:
The first thing we do is raise the last monomial to the third power.
(4xy)(2x</span>²<span>y)(3xy)</span>³
<span>=(4xy)(2x</span>²<span>y)(3</span>³<span>x</span>³<span>y</span>³<span>)
=4xy(2x</span>²<span>y)(27x</span>³<span>y</span>³<span>).
Now we can multiply the first two monomials. When we multiply powers with the same base, we add the exponents:
8x</span>³<span>y</span>²<span>(27x</span>³<span>y</span>³<span>).
We multiply these last two monomials, again adding the exponents:
216x</span>⁶<span>y</span>⁵<span>.</span>
Answer:
- 4 < x ≤ 7
Step-by-step explanation:
Given
- 10 ≤ - 5x + 25 < 45 ( subtract 25 from all 3 intervals )
- 35 ≤ - 5x < 20
Divide all 3 intervals by - 5, reversing the inequality signs as a consequence.
7 ≥ x > - 4
Hence - 4 < x ≤ 7
