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
Answer:
x = 115 - p
Step-by-step explanation:
generally in algebra you will use the letter "x" to represent a value you do not know, so it wants an algebraic expression for "p subtracted from 115", this can be rewritten as 115 - p. So the unknown value "x" is equal to 115 - p.
50 miles, t=0 is the start
45 miles each 1 hour
A. d= 45•t+50
To calculate for the magnitude of vector PQ, what needs to be done is to determine the distance between them through the two-point equation which is shown below.
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the known values,
d = sqrt ((13 - 5)² + (12 - 9)²)
The value of d from the equation is sqrt of 73 or 8.54.
Therefore, the magnitude of the vector is equal to 8.54.