Answer:
you dont have to use grid paper but anything will really work just add them toghther
Please mark as brainliest
Step-by-step explanation:
Complete question:
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 of them germinate.
Answer:
![P(x = 4) = 0.1376](https://tex.z-dn.net/?f=P%28x%20%3D%204%29%20%3D%200.1376)
Step-by-step explanation:
Given
![n = 9](https://tex.z-dn.net/?f=n%20%3D%209)
--- proportion that germinates
![p = 0.63](https://tex.z-dn.net/?f=p%20%3D%200.63)
Required
P(x = 4)
This question follows a binomial distribution:
![P(x) = ^nC_x*p^x*(1-p)^{n-x](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%5EnC_x%2Ap%5Ex%2A%281-p%29%5E%7Bn-x)
When x = 4;
![P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4](https://tex.z-dn.net/?f=P%28x%20%3D%204%29%20%3D%20%5E9C_4%2A0.63%5E4%2A%281-0.63%29%5E%7B9-4)
![P(x = 4) = ^9C_4*0.63^4*(0.37)^5](https://tex.z-dn.net/?f=P%28x%20%3D%204%29%20%3D%20%5E9C_4%2A0.63%5E4%2A%280.37%29%5E5)
![P(x = 4) = 126*0.63^4*0.37^5](https://tex.z-dn.net/?f=P%28x%20%3D%204%29%20%3D%20126%2A0.63%5E4%2A0.37%5E5)
![P(x = 4) = 0.13763895392](https://tex.z-dn.net/?f=P%28x%20%3D%204%29%20%3D%200.13763895392)
Answer: second option.
Step-by-step explanation:
In order to solve this exercise, it is necessary to remember the following properties of logarithms:
![1)\ ln(p)^m=m*ln(p)\\\\2)\ ln(e)=1](https://tex.z-dn.net/?f=1%29%5C%20ln%28p%29%5Em%3Dm%2Aln%28p%29%5C%5C%5C%5C2%29%5C%20ln%28e%29%3D1)
In this case you have the following inequality:
![e^x>14](https://tex.z-dn.net/?f=e%5Ex%3E14)
So you need to solve for the variable "x".
The steps to do it are below:
1. You need to apply
to both sides of the inequality:
![ln(e)^x>ln(14)](https://tex.z-dn.net/?f=ln%28e%29%5Ex%3Eln%2814%29)
2. Now you must apply the properties shown before:
![(x)ln(e)>ln(14)\\\\(x)(1)>2.63906\\\\x>2.63906](https://tex.z-dn.net/?f=%28x%29ln%28e%29%3Eln%2814%29%5C%5C%5C%5C%28x%29%281%29%3E2.63906%5C%5C%5C%5Cx%3E2.63906)
3. Then, rounding to the nearest ten-thousandth, you get:
![x>2.6391](https://tex.z-dn.net/?f=x%3E2.6391)
Answer:
12
Step-by-step explanation: