Answer:
C. 2-√3
Step-by-step explanation:
You are dividing to find the answer
We have been given that a set of art exam scores are normally distributed with a mean of 81 points and a standard deviation of 10 points. Kamil got a score of 78 points on the exam. We are asked to find the proportion of exam scores that are lower than Kamil's score.
First of all, we will find z-score corresponding to 78.
, where,
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Now we will use normal distribution table to find the probability under a z-score of that is .
Upon rounding to 4 decimal places, we will get:
Therefore, of exam scores are lower than Kamil's score.
Coordinates of Midpoint, knowing A(x₁, y₁) and B(x₂, y₂) is
x(of midpoint) = (x₁+x₂)÷2
y(of midpoint) = (y₁+y₂)÷2
Let A(4, -2) be one end point and B(x₂, y₂) , the other end point. Moreover the coordinate of the midpoint are given= M(1/2, 0)
1) x(of midpoint) = (x₁+x₂)÷2 = (4+x₂)÷2 , but x(of midpoint) = 1/2
Then 1/2 = (4+x₂)÷2 and x₂ = -3
2) y(of midpoint) = (y₁+y₂)÷2 = (-2+y₂)÷2 , but y(of midpoint) = 0
Then 0 = (-2+y₂)÷2 and y₂ = 2
Hence the pair of the other end is B(-3,2)