Answer:
b. exam completion time is negatively skewed
Step-by-step explanation:
A data distribution is said to be negatively skewed when <em>median</em> value of the distribution is higher than the <em>average</em> value of the distribution.
In this example
- average mid-term completion time is 40 minutes
- median mid-term completion time is 55 minutes.
thus median > mean, so the mid-term completion time is negatively skewed. Negatively skewed distributions are also called left-skewed.
The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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To write it in function notation you'll convert it into a function, substituting y by f(x):
y = 3x - 8 = f(x) = 3x - 8
Hope it helped,
BioTeacher101
Here, f(x) = kx
k = f(x)/x
k = 48/8
k = 6
So, when x = 2,
f(x) = 6 * 2
z = 12
In short, Your Answer would be: 12
Hope this helps!