3,510
913=117
11730=3,510
3,510
Answer: (x-2) (x^2 + 2x + 4)
Step-by-step explanation:
x^3 - 8
x^3 - 2^3
(x-2) * (x^2+x * 2 + 2^2)
(x-2) (x^2 + 2x + 4)
Answer:
equivalent ratio for this question is
4:6:48
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
<h3><u>
Answer:</u></h3>
<u>Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.</u>
<h3><u>
Step-by-step explanation:</u></h3>
<u>This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.</u>
- => Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.
- => Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.
Hoped this helped.
