Answer:
b
Step-by-step explanation:
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:
Answer:
x=2
Step-by-step explanation:
Here what we need is that the ratios be equal, which is:
x:(5/2) = 8:10 or, what is the same:
x/(5/2) = 8/10
Lets pick the left term x/(5/2) and multiply both numerator and denominator by 2 to eliminate the fraction on the denominator:
2x/2(5/2) = 2x/5
Now, we would like to make a 10 appear on the denominator. As we already have a five we need to multiply numerator and denominator by the num that, multiplied by 5 gives as 10, this is 2:
2(2x)/2(5) = 4x / 10
So, we transformed x/(5/2) in 4x/10, and both are the same, so we can replace it on our first equation:
4x/10 = 8/10
As both denominators are equal, we can concentrate only in numerators:
4x = 8
Dividing both sides by 4:
x = 2
So, for x=2 both ratios are equivalents.
Since you can only multiply the 2 and 4 together, you get 8x^2.
For this case, the first thing we must do is define variables:
x: number of quarters
y: number of nickels
We now write the system of equations:
x + y = 68
0.25x + 0.05y = 13.40
Solving the system we have:
x = 50
y = 18
Answer:
they have:
quarters = 50
nickels = 18
