Answer:
The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
x -----> the speed of the wind in miles per hour
y ----> the speed of the jet in still air in miles per hour
we know that
<em>With a tailwind</em>
----> equation A
<em>With a headwind</em>
----> equation B
solve the system of equations A and B by elimination
Adds equation A and equation B
<em>Find the value of x</em>
therefore
The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph
Answer:
707 feet above sea level
Step-by-step explanation:
2 hours and 25 minutes is about 2.4167 hours.
Therefore:
y=8.77x+686
y=8.77(2.4167)+686
y=21.1944+686
y=707.1944
So the hiker's elevation will be approximately 707 feet above sea level
Answer:
$3.12
Step-by-step explanation:
44.57 x 0.07 = 3.12
Answer:
P{W>0}=0.5
P{W=0}=0.25
E{W}=0
Step-by-step explanation:
<u>Given:</u>
Gambles are independent i.e. each player is equally likely to win or lose 1 unit. OR each player has equal probability to win or lose 1 unit.
Let W denote the net winnings of a gambler whose strategy is to stop gambling immediately after his first win.
Then
<u>A.P{W>0}=?</u>
P{W>0}=0.5, because each player is equally likely to win or lose on first gamble. i.e there is equal chances for winning or losing on the first gamble.
<u>B.P{W<0}=?</u>
for P{W<0} we need to find P{W=0} first as;
P{W=0}=0.25
As there is equal probability to win or lose, after first win, if you want to finish gamble with no profit (equal number of lose and win) then if you losing, you have equal probability to win or lose so to finish your game with P=0 your probability is 0.25 (half of 0.5)
P{W<0} means net lose which is equal to total probability minus probability of profit and probability of net profit equal to zero.
i.e. P{W<0}=1-P{W=0}-P{W>0}
P{W<0}=1-0.25-0.5=0.25
<u>C.E{W}=?</u>
E{W}=P{W>0}*{W>0}+P{W<0}*{W<0}+P{W=0}*{W=0}
E{W}=0.5*(1)+0.5(-1)+0.25*(0) (for any value of W,P{W>0}*{W>0}+P{W<0}*{W<0}=0, because sum of same positive and negative numbers is zero)
E{W}=0
You would divide 44 by 16 so the wing span is 2.75 ft.
