Answer:
a 0
b) 0.9
c) 0.85
d) 0.25
e) 0.1
f) 0.0375
Step-by-step explanation:
a)
As A and B are two disjoints events, then P(A and B) is
P(A and B)=0
b)
As A and B are two disjoints events, then P(A or B) is
P(A or B)=P(A)+P(B)
P(A or B)=0.15+0.75=0.9
c)
P(not A)=1-P(A)
P(not A)=1-0.15=0.85
d)
P(not B)=1-P(B)
P(not B)=1-0.75=0.25
e)
P(not (A or B))=1-P(A or B)
P(not (A or B))=1-0.9=0.1
f)
P(A and (not B))=P(A)*P(not B)
P(A and (not B))=0.15*0.25=0.0375
Answer:
∠ABD; Alternate Interior angles are congruent
Step-by-step explanation:
Sides AB and DC are congruent and parallel.
The transversal is line BD.
So considering this things, ∠BDC and ∠ABD are congruent through alternate interior angle rule
You need to convert the second equation to slope/intercept form. The first equation is in that form already. Then you can compare slopes.
-6x + 8y = 14
8y = 6x + 14
y = (3/4)x + 14/8
SO THE SLOPE IS 3/4 which is the same as slope of equation 1
Therfore they are parallel.
Looks like you have most of the details already, but you're missing one crucial piece.
is parameterized by
for 
and 
, and a normal vector to this surface is
with norm
So the integral of 
is
A minus before a parenthesis means we need to change the sign.
So 2 + 8 - 3 = 7
