I'm going to assume you meant to say
Factorize the denominator to reveal a removable discontinuity in the limand:
In the limit, we're considering values of x *near* -4, and not x = -4 itself. So we can cancel the factors of x + 4 and we're left with
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
Let
A( 5.0,2.8) B( -2.8,5.1)
we know that
The formula to find the distance between two points is equal to
substitute in the formula
therefore
<u>the answer is</u>
the distance between these points is
Complementary angles add to 90 degrees. This means that 65 + x = 90, so x = 90 - 65 = 25.
9,372,282 rounded to the nearest thousand is 9,372,000
hope this helps