You might have made an error the first time you solved for x. I got x = -0.5.
When you have your log base 4, the way you cancel that out is by making 4 the base on both sides, so you get 4^(log4) to reduce to 1, and you're left with:
2x + 3 = 4^(1/2) ... Simplify
2x + 3 = 2
2x = -1
x = -1/2
If you plug that back in, everything checks out. Maybe double check your use of logarithm/exponent properties?
900 because 9 is greater than 5 so it rounds to my answer.
Answer:
Expected value of the game: -$0.421
Expected loss in 1000 games: $421
Step-by-step explanation:
There are two possible outcomes for the event:
- There is a 1 in 38 chance of winning $280
- There is a 37 in 38 chance of losing $8
The expected value for a single game is:

The expected value of the game is -$0.421
In 1,000 plays, the expected loss is:

You would expect to lose $421.
Step-by-step explanation:
the sum of all angles in a triangle is always (ALWAYS !) 180°.
180 = 31 + 35 + x = 66 + x
x = 180 - 66 = 114°