Line:
3x+y=7
y=-3x+7
Slope of Perpendicular Line: 1/3x
For the perpendicular line to contain point (6,-1) the y-intercept would be (0,1), thus the equation of the line would be y=1/3x+1
y=1/3x+1
The prime factors of 63 in ascending order is 3,3,7
Step-by-step explanation:
Given that,
The dosage of Benadryl for Dog is 
Weight of Joel's Dog is 
(a) Benadryl dosage per pound for Joel’s dog is calculated as :

(b) If the weight of the Dog is 12 pounds, it means

Therefore, this is the required solution.
Answer:
Cutoff for a failing score is 49 and 2.28% students failed.
Step-by-step explanation:
We have been given that scores on a psychology exam were normally distributed with a mean of 57 and a standard deviation of 4.
2 standard deviation below mean would be,

Therefore,Cutoff far a failing score is 49.
Now let us find out the z-score for our given values,


Now let us look up the probability from normal distribution table.

Therefore, percentage of students failed is 2.28%.