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The three coins could land any these 8 ways:
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
P(3 heads) = 1 way out of 8 or 1/8
P(2 heads) = 3 ways out of 8 or 3/8
P(1 head) = 3 ways out of 8 or 3/8
P(0 heads) = 1 way out of 8 or 1/8
x=Winnings P(x) E(x)=x�P(x)
$3 1/8 $.375
$2 3/8 $.75
$1 3/8 $.375
-$10 1/8 -$1.25
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Total expectation = $ .25
Answer:
s = 28.09 m/s
Step-by-step explanation:
Given that,
The equation that gives the height of the largest ocean waves when the wind speed is s knots is given by :
We need to find the wind speed if the largest waves are 15 feet high.
Put h = 15 feet in the above equation as follows :
So, the speed of the wind is 28.09 m/s.
Answer: y=-2x-9
Step-by-step explanation:
If ANGL is a square, then NG and LG are adjacent sides.
Adjacent sides are perpendicular. [Each angle is 90°]
The equation of line NG is .
By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)
slope =
Let slope of LG be <em>n</em>, then
[Product of slopes of two perpendicular line =-1]
Equation of a line passes through (a,b) and have slope m is given by :-
Equation of LG :
[In intercept form]