Answer:
25 , 17
Step-by-step explanation:
Let the unknown two numbers be x & y.
According to the question,
Sum of 2 numbers is 42.
x + y = 42 ⇒ ( 1 )
Their difference is 8.
x - y = 8 ⇒ ( 2 )
First let us find the value of x.
( 1 ) + ( 2 )
x + y + x - y = 42 + 8
2x = 50
Divide both sides by 2.
x = 25
And now let us find the value of y.
x + y = 42
25 + y = 42
y = 42 - 25
y = 17
Therefore, the two numbers are 25 , 17
Hope this helps you :-)
Let me know if you have any other questions :-)
Answer:
They are the similar because 2 of their angles are identical and that means that the third angles have to be the same also.
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
For example this for example
Answer:
shortest length of fence is 8485.2 ft
Step-by-step explanation:
Given data
area = 3,000,000 square feet
to find out
shortest length of fence
let length L and width is W
so area is L × W
W = 3 × /L ............1
2W = 6 × /L
rectangular field and then divide it in half
so fencing will be 3 × L + 2 × W
i.e. 3 L + 2W
fencing = 3 L + 6 × /L
fencing minimum = 3 L - 6 × /L²
fencing minimum length will be zero
3 L - 6 × /L² = 0
3 L² = 6 ×
L² = 2 ×
L = 1414.2
so from equation 1
W = 3 × /L
W = 3 × /1414.2
W = 2121.3
so fencing will be 3 L +2 W
so fencing = 3 × 1414.2 +2 × 2121.3
fencing = 4242.6 +4242.6
fencing = 8485.2
shortest length of fence is 8485.2 ft
