Answer:
0.9007 is the probability that a student scored below 86 on this exam.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 77
Standard Deviation, σ = 7
We are given that the distribution of examination grades is a bell shaped distribution that is a normal distribution.
Formula:
a) P(student scored below 86)
P(x < 86)
Calculation the value from standard normal z table, we have,
0.9007 is the probability that a student scored below 86 on this exam.
The <em><u>correct answer</u></em> is:
A 180° rotation followed by a translation 1 unit down.
Explanation:
The points are mapped as follows:
J(3, 4)→J'(-3, -5)
K(3, 1)→K'(-3, -2)
L(1, 1)→L'(-1, -2)
A 180° rotation maps a point (x, y) to (-x, -y). This would map
J(3, 4)→(-3, -4)
K(3, 1)→(-3, -1)
L(1, 1)→(-1, -1)
The difference between these points and the image points are that each y-coordinate of the image is 1 lower than these. This means a translation 1 unit down would result in the image points.
Answer:
the diameter is: 14
the circumference is: C≈43.98
the area is: A≈153.94
Step-by-step explanation:
The correct answer is: "(-1, -2)" .
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Note: By examining the point of intersection of the lines of the 2 graphs show in the "image attached", we can see that the point of intersection is at: "(-1, 2"); that is: "x = -1, y = 2" .
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