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.
The Original length of each side of square was 14.25 inches.
Step-by-step explanation:
Perimeter of a square is given by:
Perimeter = 4 * side
Let x be the original length of each side of square
So
decreasing 2 inch will mean

Perimeter of square after reducing 2 inches from each side

So,
The Original length of each side of square was 14.25 inches.
Keywords: Perimeter, square
Learn more about perimeter at:
#LearnwithBrainly
Answer:
Q1 d, Q2 c, Q3 d
Step-by-step explanation:
Q1
g(x)=-3x+1
g(x)=16 means that
-3x+1=16 subtract 1 from both sides
-3x=16-1 combine like terms and divide both sides by -3
x=-15/3=-5
Q2
g(x)=3x²+4x-1
g(2) means that x=2 so substitute
g(2)=3*2²+4*2-1=12+8-1=19
Q3
domain are the x values
range are the y values
Answer:
you cant
Step-by-step explanation:
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Answer:
unsimplified: 22/100 & simplified: 11/50
Step-by-step explanation:
For example:
0.30 would be 30/100 or 3/10