Answer:
False.
Event A and event B are not independent.
Step-by-step explanation:
We know that event A and event B are
A= {2,4} and B= {2,4,5}.
If the following condition satisfies then event A and event B are independent:
P( A and B)= P(A)*P(B).
Now A and B=?
A and B=A∩B= {2,4} ∩ {2,4,5}
A and B=A∩B={2,4}
The single fair die results in 6 outcomes so, the sample space will contain 6 elements.
Thus,
P(A∩B)=2/6=1/3
P(A)=2/6=1/3
P(B)=3/6=1/2
P(A)*P(B)=1/3*1/2=1/6
As,
P(A∩B)≠P(A)*P(B)
1/3≠1/6
Thus, events A and event B are dependent.
Answer:
R+(7+s)
Step-by-step explanation:
Answer:n = 18
Step-by-step explanation:
divide each side by 14 then get n = 18
Answer:costC(p)= 1400+20p
R(p)= 4p^2+200p
Profit= 4p^2+ 180p-1400
Step-by-step explanation:
q=4p+200
Student council charge $400 per week.
Revenue= price × quantity.
Relationship between revenue and profit= Revenue-total cost.
Total cost= cost of facilities +(cost of one shirt)× number of T-shirts sold per week.
C(p)= 400 + 5(q)
Put q=4p+200
C(p)= 400 + 5 (4p +200)
C(p)= 400+ 20p + 1000
C(p)= 1400+ 20p
Relationship between revenue and price=Revenue= price × quantity
R(p)= p×q
Put q=4p +200
R(p)= p ×(4p +200)
R(p)= 4p^2+ 200p
Profit= Revenue - total cos
Profit=R(p) -C(p)
Profit= (4p^2 + 200p) - ( 20p +1400)
Profit= 4p^2 + 180p -1400
Answer:
Option A
Step-by-step explanation:
multiply 2/7 and 3/4
you get 6/28
then simplify
you get 3/14
