Answer:

Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
In this problem line AB and line BC are perpendicular
so

step 1
Find the slope AB
we have
A(p,4), B(6,1)
The formula to calculate the slope between two points is equal to

substitute the values


step 2
Find the slope BC
we have
B(6,1), and C(9,q)
The formula to calculate the slope between two points is equal to

substitute the values


step 3
Find the equation that relates p and q
we know that

we have


substitute



Answer:
Rachel's score is 2.3333 standard deviations above the mean
Step-by-step explanation:
GRE scores are normally distributed
Let be G the random variable ''Gre scores''
G ~ N (mean,standard deviation)
G ~ N (600,30)
Rachel scored 670 on the analytic portion of the GRE.
670 - 600 will be the score above the mean
670 - 600 = 70
To find this in terms of standard deviation we divide by the standard deviation
70/standard deviation = 70/30 = 7/3 = 2.33333333 standard deviations
Answer: I think they are correct if i did them right
3) Is C
4) Is B