Answer:
ok
Step-by-step explanation:
Let U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50} A = {5, 10, 15, 20, 25} B = {25, 30, 35, 40, 45} C = {10, 20, 30, 40, 50} Find A
Dima020 [189]
Answer:
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
Step-by-step explanation:
A = {5, 10, 15, 20, 25}
B = {25, 30, 35, 40, 45}
Find A∪B
There are 5 elements in set A
There are 5 elements in set B
A∪B is the combination of all the elements in set A and set B without repeating any
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
A∪B has 9 elements in it
A ⋂ B = {25}
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:
Picture or Reference?
Step-by-step explanation:
Given:
Total amount invested = $9,000
interest rates = 4% and 6%
Let x be the part of 9,000.
Note that annual return on each investment is the same.
0.04x = 0.06(9,000 - x)
0.04x = 540 - 0.06x
0.04x + 0.06x = 540
0.10x = 540
x = 540/0.10
x = 5,400
0.04x = 0.06(9,000 - x)
0.04(5,400) = 0.06(9,000 - 5,400)
216 = 0.06(3,600)
216 = 216
total interest for the year : 216 + 216 = 432
Interest = pricipal * interest rate * term
432 = 9,000 * interest rate * 1 yr
432/9,000 = interest rate
0.048 = interest rate
Interest rate would be 4.8% to get the same interest from the whole 9,000.
