Answer:
The probability of winning a jackpot is
The probability of winning the pick 5 game is
The earning of the lottery organisation if the game were to be runed for no profit is $10 000
Step-by-step explanation:
From the question
The sample size is n= 37
The number of selection is
Now the number of way by which these five selection can be made is mathematically represented as
Now substituting values
Now the probability of winning a jackpot from any of the way of selecting 5 whole number from 37 is mathematically evaluated as
Now the number of ways of selecting 5 whole number from 0 to 9 with repetition is mathematically evaluated as
Now the probability of winning the game is
We are told that for a $1 ticket that the pick 5 game returns $50 , 000
Generally the expected value is mathematically represented as
In this question the expected value is $1
So
So
$10 000
in the equation as we can say x= 2y-10.
so, substitute x=2y-10 everywhere then the x in 1240 gets cancelled with 2y-10 then solve the remaining you will get 4y-20+3y=1240
7y=1260
y=1260/7
y=180
then substitute the value of y everywhere
2x+3y=1240
2x+3(180)=1240
2x=1240-540
2x=700
x=350
DONE.
The value is 3
Step-by-step explanation:
To simplify the expression , we can reciprocal the term to and multiply, so that we can easily simplify the terms.
Thus, the expression becomes,
Multiplying the terms, we get,
Dividing the terms,
Thus, the value of the expression is 3.
Answer:
8 hours
Step-by-step explanation:
23 + 3x = 5x + 7
First would be to subtract 3x from both sides to maintain equality.
23 = 2x +7
Then subtract 7 from both sides
16 = 2x
Finally divide by 2 from both sides to solve for x
8 = x