Answer:
x=3
Step-by-step explanation:
P(A|B)<span>P(A intersect B) = 0.2 = P( B intersect A)
</span>A) P(A intersect B) = <span>P(A|B)*P(B)
Replacing the known vallues:
0.2=</span><span>P(A|B)*0.5
Solving for </span><span>P(A|B):
0.2/0.5=</span><span>P(A|B)*0.5/0.5
0.4=</span><span>P(A|B)
</span><span>P(A|B)=0.4
</span>
B) P(B intersect A) = P(B|A)*P(A)
Replacing the known vallues:
0.2=P(B|A)*0.6
Solving for P(B|A):
0.2/0.6=P(B|A)*0.6/0.6
2/6=P(B|A)
1/3=P(B|A)
P(B|A)=1/3
Answer:
6 weeks
Step-by-step explanation:
Given that :
Nikki :
Initial amount = $1100 ;
Amount spent per week = $35
Mich:
Initial amount = $520
Amount saved per week = $55
Number of weeks they'll both have the same amount :
Let number of weeks = w
For Nikki who is spending :
1100 - 35w - - - (1)
For Mich who is saving :
520 + 55w - - - (2)
Equate (1) and (2)
1100 - 35w = 520 + 55w
1100 - 520 = 55w + 35w
580 = 90w
w = 580 / 90
w = 6.444
About 6 weeks
