Answer:
the number would be 11
Step-by-step explanation:
8 · x - 3 = 64
________ _ (divide both sides by 8)
8 8
x - 3 = 8
+ 3 + 3
x = 11
(check:
11 - 3 = 8
8 x 8 = 64 )
Logarithm properties:

According to this, we can get:
The left side can be written as a square. We can take the square root, then subtract 1.
... (x +1)² = 17
... x +1 = ±√17
... x = -1 ±√17
We have the following given
p1 - probability for outcome 1
p2 - probability for outcome 2
p3 - probability for outcome 3
v1 - amount of money that you will win or lose for outcome 1
v2 - amount of money that you will win or lose for outcome 2
v3 - amount of money that you will win or lose for outcome 3
Therefore,
p1v1 + p2v2 + p3v3 is the average money you win or lose in playing the game.
Answer:
A
Step-by-step explanation:
using the sine ratio in the right triangle, then
sin 45° =
= 
multiply both sides by 5
note the exact value of sin 45° = 
x = 5 × sin 45° = 5 ×
= 