Answer:
1.379x10^9
Step-by-step explanation:
Move the decimal 9 places to the right.
(2n - 14)/2 = n - 7....multiply both sides by 2
2n - 14 = 2(n-7)
2n - 14 = 2n - 14
2n - 2n = 14 - 14
0 = 0
this equation will have infinite solutions
Answer: A rotation about 270 degrees CW about the origin and 90 CCW about the orgin.
Step-by-step explanation: Using the rules of 90 degrees Counterclockwise
(x,y)⇒( -y,x)
D is 3,2 then it goes to -2,3 which were A is
E is 3,7 then it goes to -7,3 which C is at
F is 10,5 then it goes to -5,10 where B at.
Also it 270 CW because 270 CW is the same as 90 CCW.
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>