The mean and standard deviation of the scores are 75 and 9.5 respectively.
The z-score is a means to find the probability of getting a particular score. This is calculated to be:
where x is the score, μ is the mean, and σ is the standard deviation.
To be a part of the top 2.5 percent, the probability is:
The z-score for this probability, that is, P
Answer:
<em>The coordinates of b are: B=(-7,-8)</em>
Step-by-step explanation:
We are given the coordinates of the midpoint of as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
We know xa=-3 and xm=-5. Solve the first equation for xb:
Substituting:
We can solve the second equation for xb and get:
Since ya=4 and ym=-2, then:
Thus, the coordinates of b are: B=(-7,-8)