Find the value of x help asap
2 answers:
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Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.
MAD of the data represented by dot plot in the picture will be Option A.
Elements in the given dot plot are,
3, 4, 5, 5, 5, 5, 5, 5, 6, 7
Steps to be followed for the mean absolute deviation of this data set.
- Find the mean of the data set
- Find the absolute distance of each element from the mean
- Find the average distance of all the elements which will be MAD of the data set.
Step - 1 :
Mean of the data set =
=
=
(As shown on the dot plot)
Step - 2 :
Absolute distance of each element from the mean of the data set,
3 - 5 = |-2| = 2
4 - 5 = |-1| = 1
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
6 - 5 = 1
7 - 5 = 2
Step - 3 :
Average of the absolute distance =
=
= 0.6
Therefore, Option A will be the correct option.
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Answer:
What is the graph of h(x)=f(x)+g(x) with an example?
So many possible combinations of types of equations for f(x) and g(x).
If they are both linear. f(x) = 3x + 2. g(x) = 2x - 5. h(x) = f(x) + g(x) = 5x - 3. This is also linear.
f(x) has slope = 3 and y-intercept = 2. g(x) has slope = 2 and y intercept = -5. h(x) has slope = 5 and y-intercept = -3.
The graph of the sum of two linear equations is a straight line with slope equal to the sum of the slopes of the two linear equations and a y-intercept equal to the sum of the y-intercepts of the two linear equations.
If one is linear and the other is quadratic. f(x) = 2x + 3. g(x) = x^2 + 6x - 4. h(x) = f(x) + g(x) = x^2 + 8x - 1. This is quadratic.
f(x) has slope = 3 and y-intercept = 3. g(x) has an axis of symmetry of x = -3, vertex at (-3, -13), y-intercept = -4, x-intercepts = -3 + 13^½ and -3 - 13^½ . h(x) has an axis of symmetry of x = -4, vertex at (-4, -17), y-intercept = -1, x-intercepts = -4 + 17^½ and -4 - 17^½ .
The graph of the sum of a linear equation [y = mx + b] and a quadratic equation [y = Ax^2 + Bx + C] has an axis of symmetry of x = - (B + m) / 2A, vertex at ( - (B + m) / 2A, - (B + m)^2 / 4A + (b + C)), y-intercept = b + C, x-intercepts = (- (B + m) + ( (B + m)^2 - 4A (b + C))^½ ) / 2A and (- (B + m) - ( (B + m)^2 - 4A (b + C))^½ ) / 2A .
