We know that
if two lines are perpendicular
then
the slopes
m1*m2=-1
step 1
find the slope AB
A (0,2)
B (-3,-3)
m=(y2-y1)/(x2-x1)-----> m=(-3-2)/(-3-0)-----> m=-5/-3----> m1=5/3
step 2
find the slope CD
C (-4,1)
D (0,-2)
m=(y2-y1)/(x2-x1)-----> m=(-2-1)/(0+4)-----> m=--3/4----> m2=-3/4
step 3
multiply mi*m2
(5/3)*(-3/4)-----> -15/12
so
15/12 is not -1
therefore
AB is not perpendicular to CD
The answer should be 5/a-a=0
Answer:
3 1/8
Step-by-step explanation:
4+3=7
7/8+1/8= 1
7+1=8
Answer:
There is enough evidence to support the claim
Step-by-step explanation:
We are conduction a hypothesis test for dependent samples. We want to see if there was a change in the test subjects cholesterol levels.
For our situation:
n = 64
d = 0.7
s = 1.72
µ(d) = 0
The hypothesis are:
H0: µ(d) = 0
Ha: µ(d) > 0
This is a right tailed test.
We are testing at the 1% level of significance. Our critical region is z > 2.325
If our test statistic is in this region, we will reject the null hypothesis
See attached photo for the calculation of the test statistic and conclusion of the test