Hello :
sum of complementary angles is : 90°
(4x)°+( 5x - 18)° = 90°
(9x)° = 108°
x° = 12°
the angles are : 48° and : 42° ( subsct x= 12° in (4x)° , ( 5x - 18)° )
Step-by-step explanation:
2(3x+4)=56
<=> 6x+8=56
<=> 6x=48
<=> x=8
Answer:
Expected value of profit is ≅ $15.80
Step-by-step explanation:
from the Question,
Let the variable X represents the expected value of profit. X is called as random variable because picking a number from 000-999 digits is a Random process.
P(win) = 
So, P(lose) = 
Suppose that,
we really want to win this lottery. so we can go to the store and spend $1000 to buy all ticket (from 000 - 999). This would ensure your winning of $500 with one of the tickets (for a $499 profit), but the other 999 would be losers (for a $999 loss).
What would be your average winnings on a per-ticket basis?
∑

= 
Here,
Standard deviation of the expected winnings
∑
= ∑ 

Taking square root of the variance to get the standard deviation:
SD(x) = 
≅ $15.80
Hence
The expected value of profit is ≅ $15.80