It'll be the third one because he stops to shop for a bit, then goes straight home.
Answer:
You would use a^2 + b^2 = c^2
Step-by-step explanation:
a and b are the shorter side of the triangle whereas c is the hypotenuse or longest side of the triangle
Answer:
y = -5x + 4/3
Step-by-step explanation:
m is the slope and b is the y intercept. m= -5 so -5 is the slope and b= 4/3 so 4/3 is the y intercept.
If this is supposed to be

Then this can simply be reduced to

by the double angle formula for cosine
Answer:
$4895
Step-by-step explanation:
P(winning) = 1 / 1000000 = 0.000001
P(not winning) = 1 - 1/1000000 = 0.999999
Winning amount = 4,900,000,000 - 5 = 4899999995
Amount lost = - 5
__ X: - 5 _________ 4899999995
P(X) : 0.999999 ___ 0.000001
Expected value E(x) = Σx * p(x)
E(x) = - 5(0.999999) + 4899999995(0.000001)
E(x) = - 4.999995 + 4899.999995
E(x) = 4895
Hence, expected value is 4895