Answer:
x>12
Step-by-step explanation:
Answer:
![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Step-by-step explanation:
Given
Total number of bouquets sold yesterday ![= 50](https://tex.z-dn.net/?f=%3D%2050)
Total number of rose bouquets sold yesterday ![= 10](https://tex.z-dn.net/?f=%3D%2010)
Then the probability of selling a rose bouquet out of total 50 bouquet is
![\frac{10}{50} \\\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B50%7D%20%5C%5C%5Cfrac%7B1%7D%7B5%7D)
Probability of selling other than rose bouquet out of total 50 bouquet is
probability of selling a rose bouquet
Substituting the given values in above equation we get -
![1 - \frac{1}{5} \\= \frac{4}{5}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B1%7D%7B5%7D%20%5C%5C%3D%20%5Cfrac%7B4%7D%7B5%7D)
Probability that the next bouquet sold will be a rose bouquet
![1 * \frac{1}{5} \\\frac{1}{5}](https://tex.z-dn.net/?f=1%20%2A%20%5Cfrac%7B1%7D%7B5%7D%20%5C%5C%5Cfrac%7B1%7D%7B5%7D)
Givem that at n = 3: 4 and 4i are zero;
Then;
![(x - 4)(x - 4i)(x + 4i) \: (x - 4)( {x}^{2} - ( {4i)}^{2} \\ (x - 4)(x - 4i)(x + 4i) \: (x - 4)( {x}^{2} + 16) \\ (x - 4)(x - 4i)(x + 4i) \: {x}^{3} + 16x - {4x}^{2} - 64 \\ (x - 4)(x - 4i)(x + 4i) \: {x}^{3} - {4x}^{2} + 16x - 64](https://tex.z-dn.net/?f=%28x%20-%204%29%28x%20-%204i%29%28x%20%2B%204i%29%20%5C%3A%20%28x%20-%204%29%28%20%7Bx%7D%5E%7B2%7D%20%20-%20%28%20%7B4i%29%7D%5E%7B2%7D%20%20%5C%5C%20%28x%20-%204%29%28x%20-%204i%29%28x%20%2B%204i%29%20%5C%3A%20%28x%20-%204%29%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%2016%29%20%5C%5C%20%28x%20-%204%29%28x%20-%204i%29%28x%20%2B%204i%29%20%5C%3A%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%2016x%20-%20%20%7B4x%7D%5E%7B2%7D%20%20-%2064%20%5C%5C%20%28x%20-%204%29%28x%20-%204i%29%28x%20%2B%204i%29%20%5C%3A%20%20%7Bx%7D%5E%7B3%7D%20%20-%20%20%7B4x%7D%5E%7B2%7D%20%20%2B%2016x%20-%2064)
Hence the function is:
![f = {x}^{3} - {4x}^{2} + 16x - 64](https://tex.z-dn.net/?f=f%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20-%20%7B4x%7D%5E%7B2%7D%20%20%2B%2016x%20-%2064)