It is roughly 0.707 so it should be very close to .7
Answer:
data set 1 : the mean is (1+2+4+4+5+5+6+7+9+9+9+11) / 12 = 72/12 = 6the MAD is :1 - 6 = -5....|-5| = 52 - 6 = -4....|-4| = 44 - 6 = -2...|-2| = 24 - 6 = -2...|-2| = 25 - 6 = -1...|-1| = 15 - 6 = -1...|-1| = 16 - 6 = 0 ...| 0| = 07 - 6 = 1....|1| = 19 - 6 = 3...|3| = 39 - 6 = 3...|3| = 39 - 6 = 3...|3| = 311 - 6 = 5...|5| = 5(5+4+2+2+1+1+0+1+3+3+3+5) / 12 = 30/12 = 2.5 <== the MAD2nd data set :the mean is (1+3+4+6+6+6+7+9+9+10+10+13) / 12 = 84/12 = 7mad is :1 - 7 = -6...| -6| = 63 - 7 = -4...|-4| = 44 - 7 = -3...|-3| = 36 - 7 = -1...|-1| = 16 - 7 = -1..|-1| = 16 - 7 = -1..|-1| = 17 - 7 = 0...|0| = 09 - 7 = 2...|2| = 29 - 7 = 2...|2| = 210 - 7 = 3..|3| = 310 - 7 = 3...|3| = 313 - 7 = 6...|6| = 6(6+4+3+1+1+1+0+2+2+3+3+6) / 12 = 32/12 = 2.67 <== the MADthe difference of the means is 1. This value is less then half of the mean absolute deviation of either data set. <== ur answer
Step-by-step explanation:
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
If two angles are complimentary then their sum would equal to 90 degree.
i.e., x + 3x + 30 = 90
4x = 90 - 30
x = 60 / 4
x = 15
In short, Your Answer would be Option A
Hope this helps!
Replace n with 9 :
7 × 9 - 3 = 60
the answer is C.60
