Answer:
Value of p is 11 and value of q is -11 .
Step-by-step explanation:
x^2 - 121
= x^2 - 11^2
= ( x+11 ) ( x-11 )
Answer:
And using the probability mass function we got:
And replacing we got:

Step-by-step explanation:
Let X the random variable of interest "number of students graduated", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:
And using the probability mass function we got:
And replacing we got:

There are 45 oranges and 90 apples in the beginning.
Step-by-step explanation:
Let the no. of orange be 'b'
Let the no. of apples be 'a'
Given that,
2b = a
3(b-15) = a
3b - 45 = a
3b - 45 = 2b
3b - 2b = 45
b = 45
2b = a
2(45) = a
a = 90
There are 45 oranges and 90 apples in the beginning.
Answer:
The Highest Common Factor is 8
Step-by-step explanation:
This is called ' Highest Common Factor'
Considering the denominators which are 16, 24, 32, 40 and 48
16 = 2×2×2×2
24 = 2×2×2×3
32 = 2×2×2×2×2
40 = 2×2×2×5
48 = 2×2×2×2×3
What they have in common most is 2×2×2 = 8
The expected value of the outcome of the bid is $0.18
So let's start by counting how many bids are placed up to a total of 160.
100*160 = 16000.
What will be your arbitrary bid? As each bid has an equal chance of success, the average of all bids is used. (One cent plus 160 dollars) / 2 = 80 dollars (rounded)
Your odds of winning are 1/16000 (1 bid out of 16000).
If you win, your profit is 1920 ($2000 minus $80.00).
1920/16000 is $0.12
Your cost to enter the auction is $1, and your average winning offer is $0.12.
The result is $0.18 (0.12-1=-0.88).
Thus the expected value of the outcome of the bid is $0.18
Learn more about expected value here :
brainly.com/question/23509883
#SPJ1