The answer is 154 because if you subtract the total by only the statue that’s the answer you’ll get :)
Answer:
use the app socratic it’s step by step .
Step-by-step explanation:
A confidence interval that will capture the true population mean with 95% confidence. The value is ( 23.6459 , 24.8293 ) .
What is population mean?
A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment. A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.
Data: 18
for given data
![$$\begin{aligned}\bar{X} & =\frac{\sum X i}{n} \\& =2448 / 101 \\& =24.2376\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%5Cbar%7BX%7D%20%26%20%3D%5Cfrac%7B%5Csum%20X%20i%7D%7Bn%7D%20%5C%5C%26%20%3D2448%20%2F%20101%20%5C%5C%26%20%3D24.2376%5Cend%7Baligned%7D%24%24)
as population variance is unknown so we used sample variance
![$$\begin{aligned}S^2 & =\frac{1}{n-1}\left(\sum X i^2-n \times \bar{X}^2\right) \\S^2 & =\frac{1}{100}\left(60232-101 \times 24.2376^2\right) \\& =8.9830\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7DS%5E2%20%26%20%3D%5Cfrac%7B1%7D%7Bn-1%7D%5Cleft%28%5Csum%20X%20i%5E2-n%20%5Ctimes%20%5Cbar%7BX%7D%5E2%5Cright%29%20%5C%5CS%5E2%20%26%20%3D%5Cfrac%7B1%7D%7B100%7D%5Cleft%2860232-101%20%5Ctimes%2024.2376%5E2%5Cright%29%20%5C%5C%26%20%3D8.9830%5Cend%7Baligned%7D%24%24)
Now
![\frac{\bar{X}-\mu}{S / \sqrt{n}} \sim t_{n-1}$$](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cbar%7BX%7D-%5Cmu%7D%7BS%20%2F%20%5Csqrt%7Bn%7D%7D%20%5Csim%20t_%7Bn-1%7D%24%24)
hence 95 % of population mean is
As n=101 which is large so critical value is 1.98397
![$$\begin{aligned}& =\left(\bar{X}-\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}, \bar{X}+\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}\right) \\& =\left(24.2376-\sqrt{\frac{8.9830}{101}} \times 1.98397,24.2376+\sqrt{\frac{8.9830}{101}} \times 1.98397\right) \\& =(23.6459,24.8293)\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%26%20%3D%5Cleft%28%5Cbar%7BX%7D-%5Csqrt%7B%5Cfrac%7BS%7D%7Bn%7D%7D%20%5Ctimes%20t_%7B%28n-1%2C%20%5Calpha%20%2F%202%29%7D%2C%20%5Cbar%7BX%7D%2B%5Csqrt%7B%5Cfrac%7BS%7D%7Bn%7D%7D%20%5Ctimes%20t_%7B%28n-1%2C%20%5Calpha%20%2F%202%29%7D%5Cright%29%20%5C%5C%26%20%3D%5Cleft%2824.2376-%5Csqrt%7B%5Cfrac%7B8.9830%7D%7B101%7D%7D%20%5Ctimes%201.98397%2C24.2376%2B%5Csqrt%7B%5Cfrac%7B8.9830%7D%7B101%7D%7D%20%5Ctimes%201.98397%5Cright%29%20%5C%5C%26%20%3D%2823.6459%2C24.8293%29%5Cend%7Baligned%7D%24%24)
To learn more about statistics visit:brainly.com/question/29093686
#SPJ4
Answer:
![[f(x)]^2-g(x) = 5x^2-13x-8](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%205x%5E2-13x-8)
Step-by-step explanation:
Given
![f(x) = 2x-2\\g(x) = -x^2+5x+12](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x-2%5C%5Cg%28x%29%20%3D%20-x%5E2%2B5x%2B12)
To find: ![[f(x)]^2-g(x)](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29)
First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function
Squaring the first function
![[f(x)]^2 = (2x-2)^2\\Using\ (a-b)^2 = a^2-2ab+b^2\\\[f(x)]^2 = (2x)^2-2(2x)(2)+(2)^2\\= 4x^2-8x+4](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2%20%3D%20%282x-2%29%5E2%5C%5CUsing%5C%20%28a-b%29%5E2%20%3D%20a%5E2-2ab%2Bb%5E2%5C%5C%5C%5Bf%28x%29%5D%5E2%20%3D%20%282x%29%5E2-2%282x%29%282%29%2B%282%29%5E2%5C%5C%3D%204x%5E2-8x%2B4)
Now subtracting g(x) from [f(x)]^2
![[f(x)]^2-g(x) = (4x^2-8x+4)-(-x^2+5x+12)\\\[f(x)]^2-g(x) = 4x^2-8x+4+x^2-5x-12](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%20%284x%5E2-8x%2B4%29-%28-x%5E2%2B5x%2B12%29%5C%5C%5C%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%204x%5E2-8x%2B4%2Bx%5E2-5x-12)
Combining alike terms
![[f(x)]^2-g(x) = 4x^2+x^2-5x-8x+4-12\\\[f(x)]^2-g(x) = 5x^2-13x-8](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%204x%5E2%2Bx%5E2-5x-8x%2B4-12%5C%5C%5C%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%205x%5E2-13x-8)
Hence,
Subtracting g(x) from the square of f(x) gives us:
![[f(x)]^2-g(x) = 5x^2-13x-8](https://tex.z-dn.net/?f=%5Bf%28x%29%5D%5E2-g%28x%29%20%3D%205x%5E2-13x-8)
Answer:
18%
Step-by-step explanation:
60 percent are in high school, of those 60 percent, 30 percent visited a foreign country
P ( high school and foreign country) = 60% * 30 %
=.60*.30
.18
18%