X is a 90 degree angle so x equals half of 90 which is 45
X= 45
Since x is 45 the other angle on the other side is 45
Every triangle equals 180 so you take 45+45 to get 90 and subtract that from 180 and get 90
Y= 90
hope this helped ask questions
Answer:
a) ![10[1-e^{-y/3} ] ^{2} e^{-y}](https://tex.z-dn.net/?f=10%5B1-e%5E%7B-y%2F3%7D%20%5D%20%5E%7B2%7D%20%20e%5E%7B-y%7D)
b) ≈ 0.76
Step-by-step explanation:
Given that : Y1 < Y2 < Y3 < Y4 < Y5 are the order statistics of five independent observations
mean of θ = 3
<u>a) Determine the P.d.f of the sample median </u>
P.d.f of sample median ( y3 ) =
attached below is the detailed solution
<u>b) determine the probability that Y4 is < 5 </u>
p( Y4 < 5 ) = G4( 5 )
= 0.7599 ≈ 0.76
attached below is the detailed solutions
Answer:45 mi/h
Step-by-step explanation:
Recall: Speed = distance / time
Let the time taken for the morning journey be
and the time taken for the afternoon journey be
,and the distance covered be d
that means for the first journey,
30 = 
d = 30 
Also for the afternoon journey,
d = 60 
Equating the two , since the same distance is being covered , we have
30
= 60 
that is
= 
= 2 
Also ,
total distance covered = 30
+ 60 
Average speed = total distance / total time
= 30
+ 60
/
+
Recall that
= 2
, substitute this into the formula for average speed , then we have
Average speed = 30(2
) +60
/ 3
Average speed = 120
/ 3
Therefore :
Average speed = 40 mi/hr