Answer:
The expected value of this game is -$0.26.
Step-by-step explanation:
Expected value:
Each possible earning/loss multiplied by it's probability.
Probability:
Number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Probability of winning:
Desired outcomes:
The 6 correct numbers, so 
Total outcomes:
6 numbers from a set of 21. So
Probability:
Expected value
probability of earning 40,000.
probability of losing 1. So
The expected value of this game is -$0.26.
Answer:
2
Step-by-step explanation:
For any positive numbers a,b we always have the following identity:
(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)
In our case, we are given that 
and that 
. Plugging that in into our identity, we get:
And so solving for 
:
Answer:C
Step-by-step explanation:
Answer:
274.84 gallons.
Step-by-step explanation:
Divide 3,298 by 12
3298/12 =274.84
Hello!
So the following would be your equation.
3(x+5)-10= 29
Your first step would be to use the Distributive Property based upon PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). Since we have Parenthesis, we distribute first.
3(x+5)-10=29
^ ^
——————
So, your new equation would be—
3x+15-10=29
Now, you need to combine like terms—
15-10=29
3x+5=29
——————
Therefore your new equation is—
3x+5=29.
Now you need to move the constants (5,29) to one side of the equal sign. To do this, you would use the Subtraction Property of Equality and rid the 5–
3x+5=29
-5 -5
——————
Your equation is now—
3x=24.
Finally, you need to remove the 3 from x. This means you must use the Division Property of Equality, and rid the 3.
3x=24
— —
3 3
Your solved equation is—
X=8
Hope this helped!
~KayEmQue
