The question is incomplete. The complete question is :
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Check all that apply.
g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The variables cannot be labeled without a table of values.
The variables cannot be labeled since any value can be selected for either
Solution :
Given equation :
g = 748 u
Here, g = total number of gallons of water used
u = number of units
Customers uses the number of units of water.
The unit of water is independent of the total number of gallons of water used.
So the number of units u is an independent variable.
But the value of gallons of water depends on the number of units that is used.
Therefore, number of gallons of water g is a dependent variable.
Thus, we can say that :
- g is dependent variable
- u is independent variable
First, let's calculate the mean and the mean absolute deviation of the first bowler.
FIRST BOWLER: <span>8,5,5,6,8,7,4,7,6
Mean = (Sum of all data)/(Number of data points) = (8+5+5+6+8+7+4+7+6)/9
<em>Mean = 6.222</em>
Mean absolute deviation or MAD = [</span>∑(|Data Point - Mean|]/Number of Data Points
MAD = [|8 - 6.222| + |5 - 6.222| + |5 - 6.222| + |6 - 6.222| + |8 - 6.222| + |7 - 6.222| + |4 - 6.222| + |7 - 6.222| + |6 - 6.222|]/9
<em>MAD = 1.136</em>
SECOND BOWLER: <span>10,6,8,8,5,5,6,8,9
</span>Mean = (Sum of all data)/(Number of data points) = (<span>10+6+8+8+5+5+6+8+9</span>)/9
<em>Mean = 7.222</em>
Mean absolute deviation or MAD = [∑(|Data Point - Mean|]/Number of Data Points
MAD = [|10 - 7.222| + |6 - 7.222| + |8 - 7.222| + |8 - 7.222| + |5 - 7.222| + |5 - 7.222| + |6 - 7.222| + |8 - 7.222| + |9 - 7.222|]/9
<em>MAD = 1.531
</em>
The mean absolute deviation represents the average distance of each data to the mean. Thus, the lesser the value of the MAD is, the more consistent is the data to the mean. <em>B</em><em>etween the two, the first bowler is more consistent.</em>
Answer:
(9/2, 7/2)
Step-by-step explanation:
The easiest way to remember how to do this problem is to average the x-coordinates and average the y-coordinates.
So, in your problem (-3 + 12)/2 = 9/2 and (-5 + 12)/2 = 7/2
The midpoint is (9/2, 7/2)
Answer:
x = 10
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, thus
∠ A + ∠ B = 180, substitute values
9x + 8 + 8x + 2 = 180, that is
17x + 10 = 180 ( subtract 10 from both sides )
17x = 170 ( divide both sides by 17 )
x = 10
