Answer:
separate and square both the top and bottom
the square of square root three is just 3 and the square of 3 (the bottom of the fraction) is 9
so now you have 3(i^2) /9
you can simplify this by three and then i^2 is -1
you now have -1/3 and thats the final answer
Answer:
The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.
Step-by-step explanation:
Total number of lottery tickets = 6
Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are = ![\left[\begin{array}{ccc}6\\4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%5C%5C4%5Cend%7Barray%7D%5Cright%5D)
= 15.
Now the population mean is given by 
× ∑ x , where n is the number of lottery tickets and ∑ x is the sum of the lottery numbers.
Summation of the lottery ticket numbers is 162
Thus the population mean is given by 
= 27.
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC
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Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees
The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
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So in short, the answer is choice B) 27; 49
