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
Answer:
323 feet
Step-by-step explanation:
This is basically the Pythagorean Theorem. If you have experience with this formula, you will know that it only works with right triangles. Why are we talking about a triangle when this problem speaks of rectangles? Well, this is because when a rectangle is split diagonally, it is now two separate triangles. The Pythagorean Theorem states that a^2 + b^2 = c^2. To begin, we will take the base and height of the triangle and either square root them or square them. In this case, you will need to square them. When this is done, you will have the numbers 90,000 and 14,400. What do we do with these? We will add them together now. Next, we will take the sum of these two numbers (104,400), and square root it. This leaves you with 323.109888, but, we need to round it to the nearest foot or, the nearest whole number. This will give us 323 feet as our final answer. Glad I was able to help! ;):)
A. Find the unknown term of each proportion.
1. Answer: X=5
Step-by-step explanation:
x/7=15/21 ==> 21x=7(15) ==> 21x=105
21x/21=105/21 ==> x=5
2. Answer: X=40.5
Step-by-step explanation:
27/x=x/3 ==> 27(3)=x(x) ==> 81=2x
81/2=2x/2 ==> x=40.5
3. Answer: X=16
Step-by-step explanation:
8/x+2=4/9 ==> 8(9)=4(x+2) ==> 72=4x+8
72-8=4x+8-8 ==> 64=4x ==> 64/4=4x/4 ==> x=16
4. Answer: X=8
Step-by-step explanation:
3/x=30/80 ==> 3(80)=30x ==> 240=30x
240/30=30x/30 ==> x=8
5. Answer: M=56
Step-by-step explanation:
m/8=m+7/9 ==> 9m=8(m+7) ==> 9m=8m+56
9m-8m=8m-8m+56 ==> m=56
B. Solve the following.
1. Answer: 80 and 100
Step-by-step explanation:
4:5 ==> 4x+5x=180 ==> 9x=180
9x/9=180/9 ==> x=20
4(20)= 80 5(20)=100
2. Answer: 235.29
Step-by-step explanation:
3400/8 ==> 425
100,000/425= 235.29
Answer:
y=2/3x-4/3
Step-by-step explanation:
1- reword the statement to equal y
<em>3y=-4+2x</em>
2-Bring the 3 over
<em>y=2/3x-4/3</em>
