Answer: 18
Step-by-step explanation:
The formula to find the minimum sample size is given by :_

, where
= population standard deviation.
z*= critical z-value.
E= Margin of error.
Given : 
E= ± 8
We know that critical value corresponding to 99% confidence level = z*=2.576 [Using z-table]
Then, the required sample size would be :


[Round to next integer.]
Hence, the required minimum sample size = 18
Answer:
x = 27
Step-by-step explanation:
We can say that sum of all interior angles adds up to: 180°, therefore;
(3x - 17) + (2x - 5) + (x + 40) = 180°
=> now add like terms together:
=> 3x + 2x + x = 6x
=> -17 + (-5) + 40 = 18
Therefore;
6x + 18 = 180°
6x = 180 - 18
6x = 162
x = 162/6
<u>x = 27</u>
Hope this helps!
<span>2<span>(<span>y−<span>3<span>(<span>y−5</span>)</span></span></span>)</span></span><span>=<span><span>(2)</span><span>(<span>y+<span><span>−<span>3y</span></span>+15</span></span>)</span></span></span><span>=<span><span><span>(2)</span><span>(y)</span></span>+<span><span>(2)</span><span>(<span><span>−<span>3y</span></span>+15</span>)</span></span></span></span><span>=<span><span><span>2y</span>−<span>6y</span></span>+30</span></span><span>=<span><span>−<span>4y</span></span>+<span>30</span></span></span>