Answer:
C) 3.25
Step-by-step explanation:
Just do 81.25 divided by 25 to get 3.25
Answer:
I really don't know just answering to get points
Answer:
5.917
Step-by-step explanation:
Answer: ![(0.52,\ 0.68)](https://tex.z-dn.net/?f=%280.52%2C%5C%200.68%29)
Step-by-step explanation:
The formula for a
- level confidence interval for the population proportion:-
![p\pm z_{\alpha/2}\times\sqrt{\dfrac{p(1-p)}{n}}](https://tex.z-dn.net/?f=p%5Cpm%20z_%7B%5Calpha%2F2%7D%5Ctimes%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
Given : n = 225 ; p = 0.60 ; ![\alpha= 1-0.99=0.01](https://tex.z-dn.net/?f=%5Calpha%3D%201-0.99%3D0.01)
By using the given information , the confidence interval for the population proportion:-
![0.6\pm z_{0.005}\times\sqrt{\dfrac{0.6(1-0.6)}{225}}\\\\=0.6\pm(2.576)(0.0327)\\\\=0.6\pm0.08\\\\=0.6-0.08,\ 0.6+0.08\\\\=(0.52,\ 0.68)](https://tex.z-dn.net/?f=0.6%5Cpm%20z_%7B0.005%7D%5Ctimes%5Csqrt%7B%5Cdfrac%7B0.6%281-0.6%29%7D%7B225%7D%7D%5C%5C%5C%5C%3D0.6%5Cpm%282.576%29%280.0327%29%5C%5C%5C%5C%3D0.6%5Cpm0.08%5C%5C%5C%5C%3D0.6-0.08%2C%5C%200.6%2B0.08%5C%5C%5C%5C%3D%280.52%2C%5C%200.68%29)
Hence, the resulting confidence interval is
.
Answer:
Lesser x is -13.
Greater x is 1.
Step-by-step explanation:
We have the function:
![f(x)=(x+6)^2-49](https://tex.z-dn.net/?f=f%28x%29%3D%28x%2B6%29%5E2-49)
And we want to find the zeros of the function.
So, set f(x) to 0 and solve for x:
![(x+6)^2-49=0](https://tex.z-dn.net/?f=%28x%2B6%29%5E2-49%3D0)
Add 49 to both sides:
![(x+6)^2=49](https://tex.z-dn.net/?f=%28x%2B6%29%5E2%3D49)
Take the square root of both sides. Since we're taking an even root, we will need plus/minus:
![x+6=\pm 7](https://tex.z-dn.net/?f=x%2B6%3D%5Cpm%207)
Subtract 6 from both sides:
![x=\pm7-6](https://tex.z-dn.net/?f=x%3D%5Cpm7-6)
Evaluate for each case:
Case 1; 7 is positive:
![x=7-6=1](https://tex.z-dn.net/?f=x%3D7-6%3D1)
Case 2; 7 is negative:
![x=-7-6=-13](https://tex.z-dn.net/?f=x%3D-7-6%3D-13)
So, our zeros are:
![\{x|-13, 1\}](https://tex.z-dn.net/?f=%5C%7Bx%7C-13%2C%201%5C%7D)
Our lesser x is -13, and our greater x is 1.
And we're done!