Answer:
3/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) (3 + 2i) - (1 - 6i)
3 + 2i - 1 + 6i
2 + 8i
2) 4i + 3 - 6 + i - 1
5i - 3 - 1
5i - 4
3) 5i ( 3 - 2i )
15i - 10i^2
15i - 10 ( -1 )
15i + 10
4) ( 5 + 3i ) ( 2 - 3i )
10 - 15i + 6i - 9i^2
10 - 9i - 9i^2
10 - 9i - 9 ( -1 )
10 - 9i + 9
- 9i + 19
5) ( 2 + i ) ( 2 - i )
4 - 2i + 2i - i^2
4 - i^2
4 - (-1)
5
I hope this helps!
I got 14/15
You have to find the lowest common denominator which is 15.
Answer:
Yes, Based on this data, baldness and being over 45 are independent events, because P(bald | over 45) = P(bald).
Step-by-step explanation:
The given data is as following:
Under 45 Over 45 Total
Bald : 24 16 40
Not Bald : 36 24 60
Total : 60 40 100
<u>We should know that:</u>
The events A and B are independent when If P(A∩B) = P(A) * Pr(B)
Using conditional probabilities this property can be written as:
P(A|B) = P(A∩B)/P(B) = P(A) * Pr(B)/ P(B) = P(A)
So, we will check baldness and being over 45 independent events.
From the given data:
1. P(man is bald) = 40/100 = 0.4
3. P(bald | over 45) = 16/40 = 0.4
So, P(man is bald) = P(bald | over 45) = 0.4
<u>So, The events are independent. </u>