Answer: (0.066,0.116)
Step-by-step explanation:
The confidence interval for proportion is given by :-
![p_1-p_2\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}](https://tex.z-dn.net/?f=p_1-p_2%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7Bp_1%281-p_1%29%7D%7Bn_1%7D%2B%5Cdfrac%7Bp_2%281-p_2%29%7D%7Bn_2%7D%7D)
Given : The proportion of men have red/green color blindness = ![p_1=\dfrac{89}{950}\approx0.094](https://tex.z-dn.net/?f=p_1%3D%5Cdfrac%7B89%7D%7B950%7D%5Capprox0.094)
The proportion of women have red/green color blindness = ![p_2=\dfrac{6}{2050}\approx0.003](https://tex.z-dn.net/?f=p_2%3D%5Cdfrac%7B6%7D%7B2050%7D%5Capprox0.003)
Significance level : ![\alpha=1-0.99=0.01](https://tex.z-dn.net/?f=%5Calpha%3D1-0.99%3D0.01)
Critical value : ![z_{\alpha/2}=z_{0.005}=\pm2.576](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3Dz_%7B0.005%7D%3D%5Cpm2.576)
Now, the 99% confidence interval for the difference between the color blindness rates of men and women will be:-
![(0.094-0.003)\pm (2.576)\sqrt{\dfrac{0.094(1-0.094)}{950}+\dfrac{0.003(1-0.003)}{2050}}\approx0.091\pm 0.025\\\\=(0.09-0.025,0.09+0.025)=(0.066,\ 0.116)](https://tex.z-dn.net/?f=%280.094-0.003%29%5Cpm%20%282.576%29%5Csqrt%7B%5Cdfrac%7B0.094%281-0.094%29%7D%7B950%7D%2B%5Cdfrac%7B0.003%281-0.003%29%7D%7B2050%7D%7D%5Capprox0.091%5Cpm%200.025%5C%5C%5C%5C%3D%280.09-0.025%2C0.09%2B0.025%29%3D%280.066%2C%5C%200.116%29)
Hence, the 99% confidence interval for the difference between the color blindness rates of men and women= (0.066,0.116)
*just a guess*
you can combine like terms when they are using the same variables or constants. ex: you can combine 34x and 76x because of the variable
I hope I answer your question
Plane, it contains tons of 2d points with no set beginning or end
Depends if it is a right triangle or not and if it is u will use the pothygerem theorem or the distance formula