Answer:
Step-by-step explanation:
Given that you and a friend play a game where you each toss a balanced coin.
If the upper faces on the coins are both tails, you win $1;
if the faces are both heads, you win $2;
if the coins do not match (one shows a head, the other a tail), you lose $1 (win (−$1)).
Let Y be the amount won
Then Y can take values as 1,2 and -1
![P(Y=1) =P(TT) = 0.25\\P(Y=2) = P(HH) = 0.25\\P(Y=-1) = P(HT)+P(TH) = 0.5](https://tex.z-dn.net/?f=P%28Y%3D1%29%20%3DP%28TT%29%20%3D%200.25%5C%5CP%28Y%3D2%29%20%3D%20P%28HH%29%20%3D%200.25%5C%5CP%28Y%3D-1%29%20%3D%20P%28HT%29%2BP%28TH%29%20%3D%200.5)
The above is the probability distribution for Y.
Let, the speed of boat = x
Speed of current = y
So, x + y = 280/7
x + y = 40 ---- first equation
x - y = 280/14
x - y = 20
x = 20 + y
Substitute this value of x in first equation,
20 + y + y = 40
2y = 40 - 20
y = 20/2
y = 10
Substitute this in first equation,
x + 10 = 40
x = 30
In short, Speed of Boat = 30 mph, & speed of current = 10 mph
Hope this helps!
Answer:
incomplete question
Step-by-step explanation:
Answer:
j=8
Step-by-step explanation:
22-14=8
Answer:
170138.45 feet
Step-by-step explanation:
Look at the attached photo, we want to calculate x
tan(10)=![\frac{30000}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B30000%7D%7Bx%7D)
x =
= 170138.45 feet