Answer:
you should play the game with the probability of winning is one tenth
Step-by-step explanation:
If the probability of winning an instant prize game is one tenth, <u>then the odds in the game can be described as 1:9</u> . The odds are clearly better than the game with odds 1:10.
In other words,
If the odds of winning a instant prize game are 1:10, <u>then the probability of winning the game is one eleventh</u>. This is a lower probability than the game which has the probability of winning one tenth.
K = 4pq^2
k/4p = q^2
0.5(k/p)^1/2 = q
One way to solve this is to use Pythagorean theorem: the square of one leg of triangle plus square of other leg of the triangle equals c the hypotenuse (longest side of triangle). You might see this as the formula a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.
In this case, the legs are 3√2 and the hypotenuse is h.
Using the formula:
(3√2)² + (3√2)² = h²
18 + 18 = h²
h = 6
The other way to do this is with trigonometric angles.
Remember cosine is adjacent over hypotenuse.
cos(45°) = (3√2) / h
h = (3√2) / cos(45°)
h = 6
Answer: 70 mph
Step-by-step explanation:
Answer:
You can prove this statement as follows:
Step-by-step explanation:
An odd integer is a number of the form 
where 
. Consider the following cases.
Case 1. If 
is even we have: 
.
If we denote by 
we have that 
.
Case 2. if is odd we have: 
.
If we denote by 
we have that
This result says that the remainder when we divide the square of any odd integer by 8 is 1.
