3x+5=0
3x=0-5
3x=-5
Divide both sides by 3
-1.6666.......
Hope it helps.
As for mod 9, I don't understand.
Answer:
y= -3/4x+2
Step-by-step explanation:
3x+4y=8
-3x -3x
----------------
4y=-3x+8
Divided by 4 on each sides
y= -3/4x+2
Answer:
-5 - 3x > 10
Step-by-step explanation:
x = -6
Plug in the x value for each inequality:
-5 - 3(-6) > 10
-5 + 18 > 10
13 > 10
True
-3 - 5(-6) < -14
-3 + 30 < -14
27 < -14
False
1 - 2(-6) > 13
1 + 12 > 13
13 > 13
False
2 - (-6) < -3
2 + 6 < -3
8 < -3
False
Only one of these is true; that is the answer.
Answer:
the green line
Step-by-step explanation:
its closest to the point
Answer:Given:
P(A)=1/400
P(B|A)=9/10
P(B|~A)=1/10
By the law of complements,
P(~A)=1-P(A)=399/400
By the law of total probability,
P(B)=P(B|A)*P(A)+P(B|A)*P(~A)
=(9/10)*(1/400)+(1/10)*(399/400)
=51/500
Note: get used to working in fraction when doing probability.
(a) Find P(A|B):
By Baye's Theorem,
P(A|B)
=P(B|A)*P(A)/P(B)
=(9/10)*(1/400)/(51/500)
=3/136
(b) Find P(~A|~B)
We know that
P(~A)=1-P(A)=399/400
P(~B)=1-P(B)=133/136
P(A∩B)
=P(B|A)*P(A) [def. of cond. prob.]
=9/10*(1/400)
=9/4000
P(A∪B)
=P(A)+P(B)-P(A∩B)
=1/400+51/500-9/4000
=409/4000
P(~A|~B)
=P(~A∩~B)/P(~B)
=P(~A∪B)/P(~B)
=(1-P(A∪B)/(1-P(B)) [ law of complements ]
=(3591/4000) ÷ (449/500)
=3591/3592
The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):
===....B...~B...TOT
..A . 9 . . 1 . . 10
.~A .399 .3591 . 3990
Tot .408 .3592 . 4000
So P(A|B)=9/408=3/136
P(~A|~B)=3591/3592
As before.
Step-by-step explanation: its were the answer is
