The mean on a statewide biology test was 76 with a standard deviation of 11. Harris county sampled the scores of some of its stu
1 answer:
The margin of error would tell how many percentage differs from Harris County's sample
The range of reasonable means for Harris County's sample is 77.7 to 82.3
<h3>How to determine the range?</h3>The given parameters are:
- Population mean,
- Population standard deviation,
- Sample mean,
- Margin of error ,
The range (R) is calculated as:
Substitute known values
Expand
Evaluate the difference and sum
Hence, the range of reasonable means for Harris County's sample is 77.7 to 82.3
Read more about margin of error at:
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Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the option 1, 2, and 3 are equivalent to .
The equations given in the problem are the linear equations.
<h3>Linear equation</h3>Linear equation are the equation which has the highest power of the unknown variable is 1.
Given-
1) The given expression in the problem is,
Rewrite the equation as,
Take out the negative sign from the bracket,
Rewrite the equation with positive terms first.
Hence the given equation is equivalent to the option 1.
2) The given equation,
On solving further take out the 7 common from the bracket,
Thus the given equation is equivalent to the option 2.
3) The given equation,
Split the term of <em>x,</em>
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Rewrite the equation,
Hence the given equation is equivalent to the option 3.
4) The given equation,
Split the term of <em>x </em>and constant term,
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Rewrite the equation,
Hence the given equation is not equivalent to the option 4.
Thus the expressions given in the option 1, 2, and 3 are equivalent to .
Learn more about the linear equation here;