Answer:
a) 68.2%
b) 31.8%
c) 2.3%
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 530
Standard Deviation, σ = 119
We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.
Formula:
a) P(test scores is between 411 and 649)
b) P(scores is less than 411 or greater than 649)
c) P(score greater than 768)
P(x > 768)
Calculation the value from standard normal z table, we have,
The missing coordinates of the parallelogram is (m + h, n).
Solution:
Diagonals of the parallelogram bisect each other.
Solve using mid-point formula:
Here
<u>To find the missing coordinate:</u>
Let the missing coordinates by x and y.
Here
Now equate the x-coordinate.
Multiply by 2 on both sides of the equation, we get
m + h = x
x = m + h
Now equate the y-coordinate.
Multiply by 2 on both sides of the equation, we get
n = y
y = n
Hence the missing coordinates of the parallelogram is (m + h, n).