<span>1.6m − 4.8 = −1.6m
<u>- 1.6m -1.6m
</u> -4.8 = -3.2m
<u>
</u>divide both sides by -3.2
m = 1.5</span>
The mean is simply the average of the data set.
Mean = (3+4+6+7+9+9+11)/7 = 7
The median, on the other hand, is the middle data when you arrange them from least to greatest. The middle data here is 7.
Hence, initially, the mean and median are equal. In order to make the mean less than median, add another data point which makes it the lowest. For example, we can add 1 as the new data point. The mean would be:
Mean = (1+3+4+6+7+9+9+11)/8 = 6.25
The median is (6+7)/2 = 6.5
Therefore, you can add any number less than 3. For example, that could be 1.
Answer: 5
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Explanation:
Each term is separated by a plus (+) or a minus (-) sign
The terms are:
first term = a^2
second term = ab
third term = 8b
fourth term = b^2
fifth term = -1
showing that there are 5 terms total.
Rewrite as an equation.<span><span><span>log3</span><span>(9)</span>=x</span><span><span>log3</span><span>(9)</span>=x</span></span>Rewrite <span><span><span>log3</span><span>(9)</span>=x</span><span><span>log3</span><span>(9)</span>=x</span></span> in exponential form using the definition of a logarithm. If <span>xx</span> and <span>bb</span> are positive real numbers and <span>bb</span> does not equal <span>11</span>, then <span><span><span>logb</span><span>(x)</span>=y</span><span><span>logb</span><span>(x)</span>=y</span></span> is equivalent to <span><span><span>by</span>=x</span><span><span>by</span>=x</span></span>.<span><span><span>3x</span>=9</span><span><span>3x</span>=9</span></span>Create equivalent expressions in the equation that all have equal bases.<span><span><span>3x</span>=<span>32</span></span><span><span>3x</span>=<span>32</span></span></span>Since the bases are the same, the two expressions are only equal if the exponents are also equal.<span><span>x=2</span><span>x=2</span></span>The variable <span>xx</span> is equal to <span>22</span>.<span>2</span>
Answer: 30º
Step-by-step explanation: Draw a line of 5cm. Draw another line at an end that is 8cm and has an angle of 90º between them. Join the ends of the lines. Measure the smallest angle and it should be 30º.
