Answer:
A <em>z</em>-score specifies the number of standard deviations an observation is from the mean.
Step-by-step explanation:
A z-score (aka, a standard score) specifies the number of standard deviations an observation is from the mean.
The formula to compute the z-score is, 
, where <em>X</em> = value of the random variable, <em>µ</em> = mean, <em>σ</em> = standard deviation.
The random variable <em>X</em> follows a Normal distribution with parameters <em>µ</em> and <em>σ</em>².
(a)
A <em>z</em>-score of 2.2 implies that the score in the first midterm exam is 2.2 standard deviations above the mean.
(b)
A <em>z</em>-score of 0.4 implies that the score in the first midterm exam is 0.4 standard deviations above the mean.
(c)
A <em>z</em>-score of 1.8 implies that the score in the first midterm exam is 1.8 standard deviations above the mean.
(d)
A <em>z</em>-score of 1.0 implies that the score in the first midterm exam is 1.0 standard deviations above the mean.
(e)
A <em>z</em>-score of 0 implies that the score in the first midterm exam is 0 standard deviations above the mean. That is the score in the first midterm exam is same as the mean score.
Sample Response: Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.
Comparing the functions, from the tables, it is found that (f - g)(x) is positive in the interval (–∞, 9)
.
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- For the subtraction function, we simply subtract both functions, thus:
- It is positive if f is greater than g, that is: f(x) > g(x).
- It is a linear function, so one function is greater before the equality, one after.
- They are equal at x = 9.
- If x < 9, f(x) > g(x), and thus, (f - g)(x) is positive, which means that the desired interval is:
(–∞, 9)
A similar problem is given at brainly.com/question/24610273
Answer:horizontal translation is right 4
Vertical is down 1
