Answer:
y=29*x
Step-by-step explanation:
This problem is a linear function problem. We need at least two points to solve it. After finding two points we will compute the slope and then us the point-slope formula.
If you put 11 gallons of gasoline in your car it will allow you to drive 319 miles, this means that when x= 11 then, y=319. So the first point is (11,319). For the second point you now that if you have no gallons of gasoline then you won't be able to drive so, the second point is (0,0).
Now that we have to points we are able to compute the slope. The formula for the slope is:
.
this way
.
.
Now that we have the slope, we can use the point-slope formula to get the equation. The point-slope formula is:
(here it doesn't matter which point you use, you will get the same result).
Substituting the point (11,319) and the slope:
And we finaly get the equation!
Answer:
B)
Step-by-step explanation:
Given f(x) = ( 7 - 8x )²
let f(x) be y,
y = ( 7 - 8x )² .............to find inverse we have to make x the subject.
±√y = 7 - 8x
-8x = √y - 7
x = (±√y - 7 ) / -8
Then,
Inverse of ( 7 - 8x )² is 
and is a function.
Answer:
1.50
0.37
0.05
+---------
1.92
$1.50 + $0.37 + $0.05 = 1.92
Therefore, the answer is $1.92
Step-by-step explanation:
Answer:
Because of the presence of an outlier (30), an extremely higher value when compared to others. Outliers affects the value of mean, thereby mean should not be used for data with outliers.
Step-by-step explanation:
For the set of data above, it would be misleading to use the mean as the center of measure for the number of points that she scored in each game because of the presence of outliers, the presence of extremely lower or extremely higher value makes the use of mean as a measure of central tendency inaccurate because the mean take into consideration all the values in a data including the outliers for its calculation, and the mean would tend to shift towards the outliers thereby misinterpreting the data. The presence of outlier which is 30 in the data given would shift the mean to the right towards 30, thereby misleading to represent the measure of central tendency. 30 is an outlier because it is extremely higher than the rest of the data (10,8,9,8,30).
In the presence of outliers it's best to use median or mode as an acceptable measure of central tendency.
