Answer:
m = -1/3
Step-by-step explanation:
The slope of the line can be calculated using the slope formula.

Since this is the line with points AB, the slope of any line perpendicular to it will be -1/3. All perpendicular lines cross at a 90 degree angle and as such their slopes are the negative reciprocals of each other. This means 3 becomes -1/3.
Answer:
D. No, Jacob is not correct. The median amount he makes is $84.00 in a day.
Step-by-step explanation:
In this case, the mean is not the best measure of this data.
We can see that there is one value lower than the rest, $58. This brings the mean down.
With the value of $58, the mean is $80.70. If we were to take this value out, the mean would be $85.20, which is higher.
Since the mean is brought down by this value, we should use the median. The median of this data set is $84.
Answer:
Step-by-step explanation:
Plug into distance formula:
Points: (5, -2), (3, -4)
sqrt( ((x2 - x1)^2) + ((y2 - y1)^2))
sqrt( ((3 - 5)^2) + ((-4 + 2)^2))
sqrt( 4 + 4)
sqrt8 ≈ 2.8 OR
sqrt8 = 2√2
Answer:
Probability that a customer pays the bill by mail, given that the customer is female is 0.20.
Step-by-step explanation:
The complete question is:
Online By Mail Total
Male 12 8 20
Female 24 6 30
Total 36 14 50
A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.
Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)
P(Pays bill by mail/Customer is female) = 
Now, Probability that customer is female = 
Also, Probability that customer pays bill by mail and is female = 
So, Required probability = 
= 
=
= 0.20
Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.