Answer:
24
Step-by-step explanation:
We have a system of equations, so we can start with the second equation:
And move y to the other side to isolate x:
Now we can replace x into the first equation:
Notice that we can cancel out the y squared terms:
Now we just need to find x by replacing y into the second equation:
And finally, add them:
Hope this helps.
Answer:
9
Step-by-step explanation:
5+4=9
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>
Answer:
f(1) = 1
Step-by-step explanation:
To go 1 on the x-axis and check to see where it is on the y-axis. In this case, when x = 1, y = 1.
Therefore, f(1) = 1.
Step-by-step explanation:
if you can put a vertical line through it and it only touches the line once it's a function