<span>Mean absolute deviation around the mean
</span>Mean for set 1 equals: (20+24+40+63+76+89)/6 = 312/6 = 52
Mean for set 2 equals: (41+50+58+62+72+83)/6 = 366/6 = 61
Mean absolute deviation around the mean for set 1 equals:
( |20 - 52| + |24 - 52| + |40 - 52| + |63 - 52| + |76 - 52| + |89 - 52| )/6 = (32 + 28 + 12 + 11 + 24 + 37)/6 = 144/6 = 24
Mean absolute deviation around the mean for set 2 equals:<span>
</span>( |41 - 61| + |50 - 61| + |58 - 61| + |62 - 61| + |72 - 61| + |83 - 61| )/6 = (20 + 11 + 3 + 1 + 11 + 22)/6 = 68/6 = 11,334
MAD for City 2 is bigger than the MAD for City 1, which means the average monthly temperatures of City 2 vary more than the average temperatures for City 1
Beacuse <span>A square by definition is a "plane figure having four equal sides." Rectangles' sides are not equal and hence cannot be a square.
A rectangle by definition is a "four-sided plane figure with 4 right angles" - which also implies that a square can be a rectangle because it is also a four-sided plane figure with 4 right angles...... hope this helps</span>
Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.<span><span><span><span>log3</span><span>(<span><span>x2</span>+18</span>)</span></span>=5</span><span><span><span>log3</span><span><span>x2</span>+18</span></span>=5
</span></span>Rewrite <span><span><span><span>log3</span><span>(<span><span>x2</span>+18</span>)</span></span>=5</span><span><span><span>log3</span><span><span>x2</span>+18</span></span>=5</span></span> in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then <span><span><span>logb</span><span>(x)</span></span>=y</span> is equivalent to <span><span>b^y</span>=x</span>.<span><span>3^5</span>=<span><span>x^2</span>+<span>18
</span></span></span>Raise 3 to the power of 5 to get 243.<span>243=<span><span>x^2</span>+18</span></span>Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.<span><span><span>x^2</span>+18</span>=<span>35</span></span>Raise 3 to the power of 5 to get 243.<span><span><span>x^2</span>+18</span>=243</span>Move all terms not containing x to the right side of the <span>equation
</span>Since 18 does not contain the variable to solve for, move it to the right side of the equation by subtracting 18 from both sides.<span><span>x^2</span>=<span><span>−18</span>+243</span></span>Add <span>−18</span> and 243to get 225.<span><span>x^2</span>=<span>225
'</span></span>Take the square root of both sides of the equation to eliminate the exponent on the left side.<span><span>x=<span>±<span>√225</span></span></span>x</span>The complete solution is the result of both the positive and negative portions of the solution.
Rewrite <span>225</span> as <span><span>152</span></span>.<span><span>x=<span>±<span>√<span>152</span></span></span></span></span>Pull terms out from under the radical, assuming positive real numbers.<span>x=<span>±<span>15</span></span></span>