Answer:
D
Step-by-step explanation:
You would do D because the other options aren't that random. Randomly choosing employees <em>is</em> a random sample and will give you a valid answer.
<span><span><span><span>−<span>2<span>(<span>q−22</span>)</span></span></span>+q</span>+12</span>>0</span>
Step 1: Simplify both sides of the inequality.<span><span><span>
−q</span>+56</span>>0</span>
Step 2: Subtract 56 from both sides.<span><span><span><span>
−q</span>+56</span>−56</span>><span>0−56</span></span><span><span>
−q</span>><span>−56</span></span>
Step 3: Divide both sides by -1.<span><span><span>
−q</span><span>−1</span></span>><span><span>−56</span><span>−1</span></span></span><span>
q<56</span>
Answer: q<56
Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume 
and prove 
.
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required
First, mentally add the whole numbers.
4+3+5=12
Now, look at the fractions. 1/8, 2/3, and 1/2.
2/3 is bigger than 1/2, so you can add in another whole number.
12+1=13
1/8 is tiny, and won't add a whole lot to the mix, so just leave that.
A reasonable estimate would be 13 1/8
