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3 years ago

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What are the rules of exponents?

1 answer:

liberstina [14]3 years ago

8 0

The rules of exponents allow you to simplify expressions involving exponents. When multiplying two quantities with the same base, add exponents: xm⋅xn=xm+n x m ⋅ x n = x m + n . When dividing two quantities with the same base, subtract exponents: xmxn=xm−n x m x n = x m − n .

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If Benito is selecting samples of five values from the table, which row will result in the greatest mean? Population Data Row 1

Vilka [71]

Answer:

4th row will result in the greatest mean.

Step-by-step explanation:

We are asked to find the row with greatest mean from our given rows.

We will use formula $\bar{x}=\frac{\Sigma x}{n}$ , where,

$\bar{x}=\text{Mean}$ ,

$\Sigma x=\text{Sum of all data values}$ ,

$n=\text{Number of data points in sample}$

Let us find mean of each row using above formula.

$\text{Mean of row 1}=\frac{4+2+2+3+3}{5}$

$\text{Mean of row 1}=\frac{14}{5}$

$\text{Mean of row 1}=2.8$

Therefore, mean of 1st row is 2.8.

$\text{Mean of row 2}=\frac{3+3+4+3+2}{5}$

$\text{Mean of row 2}=\frac{15}{5}$

$\text{Mean of row 2}=3$

Therefore, mean of 2nd row is 3.

$\text{Mean of row 3}=\frac{2+4+3+4+3}{5}$

$\text{Mean of row 3}=\frac{16}{5}$

$\text{Mean of row 3}=3.2$

Therefore, mean of 3rd row is 3.2.

$\text{Mean of row 4}=\frac{3+4+4+7+3}{5}$

$\text{Mean of row 4}=\frac{21}{5}$

$\text{Mean of row 4}=4.2$

Therefore, mean of 4th row is 4.2.

Since 4th row has the highest mean, therefore, 4th row will result in the greatest mean.

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