Answer:
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Step-by-step explanation:
I believe y equals 4.
9/4y - 12. = 1/4y - 4
+ 12. +12
9/4y. = 1/4y + 8
- 1/4y. - 1/4y
8/4y. = 8
2y. = 8
2. 2
Y = 4
Answer:
Step-by-step explanation:
Givens
Let a = the first number
Let b = the second number
Equations
a + b = 39
b = 1/2 * a + 6
Put the second equation into the first one
a + 1/2 * a + 6 = 39 Simplify the left.
(3/2)a + 6 = 39 Subtract 6 from both sides
(3/2)a + 6 - 6 = 39 - 6 Combine
(3/2)a = 33 Multiply both sides by 2
3a = 33*2
3a = 66 Divide both sides by 3
3a/3 = 66/3
a = 22
b = 1/2 a + 6
a = 22
b = 1/2 * 22 + 6
b = 11 + 6
b = 17
Check
22 + 17 = 39
Part A. Yes, because y=f(x)=x⁵.
Part B. f(4)=2(4)+12=8+12=20.
Data set 1 : the mean is (1+2+4+4+5+5+6+7+9+9+9+11) / 12 = 72/12 = 6
the MAD is :
1 - 6 = -5....|-5| = 5
2 - 6 = -4....|-4| = 4
4 - 6 = -2...|-2| = 2
4 - 6 = -2...|-2| = 2
5 - 6 = -1...|-1| = 1
5 - 6 = -1...|-1| = 1
6 - 6 = 0 ...| 0| = 0
7 - 6 = 1....|1| = 1
9 - 6 = 3...|3| = 3
9 - 6 = 3...|3| = 3
9 - 6 = 3...|3| = 3
11 - 6 = 5...|5| = 5
(5+4+2+2+1+1+0+1+3+3+3+5) / 12 = 30/12 = 2.5 <== the MAD
2nd data set :
the mean is (1+3+4+6+6+6+7+9+9+10+10+13) / 12 = 84/12 = 7
mad is :
1 - 7 = -6...| -6| = 6
3 - 7 = -4...|-4| = 4
4 - 7 = -3...|-3| = 3
6 - 7 = -1...|-1| = 1
6 - 7 = -1..|-1| = 1
6 - 7 = -1..|-1| = 1
7 - 7 = 0...|0| = 0
9 - 7 = 2...|2| = 2
9 - 7 = 2...|2| = 2
10 - 7 = 3..|3| = 3
10 - 7 = 3...|3| = 3
13 - 7 = 6...|6| = 6
(6+4+3+1+1+1+0+2+2+3+3+6) / 12 = 32/12 = 2.67 <== the MAD
the difference of the means is 1. This value is less then half of the mean absolute deviation of either data set. <== ur answer
