Answer:
See below
Step-by-step explanation:
Here we need to prove that ,

Imagine a right angled triangle with one of its acute angle as
.
- The side opposite to this angle will be perpendicular .
- Also we know that ,


And by Pythagoras theorem ,

Where the symbols have their usual meaning.
Now , taking LHS ,

- Substituting the respective values,





Since LHS = RHS ,
Hence Proved !
I hope this helps.
Answer:
10 males
Step-by-step explanation:
because 15 + 10 is 25 so the answer is 10 males and 15 females
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