Answer: The expected value of purchasing a raffle ticket would be $0.3449.
Step-by-step explanation:
Since we have given that
Number of tickets = 5500
Number of flower arrangements = 20
Number of gift certificates = 20
So, Probability that wining $70 at flower arrangement = ![\dfrac{20}{5500}=\dfrac{1}{275}](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B5500%7D%3D%5Cdfrac%7B1%7D%7B275%7D)
Probability that wining $25 at gift certificates = ![\dfrac{20}{5500}=\dfrac{1}{275}](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B5500%7D%3D%5Cdfrac%7B1%7D%7B275%7D)
So, Expected value of purchasing a raffle ticket would be
![70\times \dfrac{1}{275}+25\times \dfrac{1}{275}\\\\=0.254+0.0909\\=\$0.3449](https://tex.z-dn.net/?f=70%5Ctimes%20%5Cdfrac%7B1%7D%7B275%7D%2B25%5Ctimes%20%5Cdfrac%7B1%7D%7B275%7D%5C%5C%5C%5C%3D0.254%2B0.0909%5C%5C%3D%5C%240.3449)
Hence, the expected value of purchasing a raffle ticket would be $0.3449.
Answer:
x= 3±sqrt(15)
Step-by-step explanation:
x^2 -6x = 6
Take the coefficient of x
-6
Divide by 2
-6/2 = -3
Square it
(-3)^2 = 9
Add this to each side
x^2 -6x+9 = 6+9
(x-3)^2 = 15
Take the square root of each side
sqrt((x-3)^2) = ±sqrt(15)
x-3 = ±sqrt(15)
Add 3 to each side
x-3+3 = 3±sqrt(15)
x= 3±sqrt(15)
Can you write the question better?
X^2+14x-176=0
(x+22)(x-8)
x=-22,8
This is because the 2 numbers in the factorisation must have multiple of 176& and a sum of 14