Well,
2.5(18) = 45
45 = 45
It's as simple as that. n=18 is the solution to the problem.
If the radius is 17.5 I believe that the area is 962.11.
Answer:
(0.4578 , 0.5318)
Step-by-step explanation:
The attached figure shows the formula for calculating confidence intervals for the difference of proportions in large samples.
Let's call
= proportion of married couples, in the first sample, who had two or more personality preferences in common.
= 197/347 = 0.5677
![q_1 = 1-p_1](https://tex.z-dn.net/?f=q_1%20%3D%201-p_1)
= size of the first random sample
![n_1 = 347](https://tex.z-dn.net/?f=n_1%20%3D%20347)
= proportion of married couples, in the second sample, who had no preferences in common.
= 39/535 = 0.0729
![q_2 = 1-p_2](https://tex.z-dn.net/?f=q_2%20%3D%201-p_2)
= size of the second random sample = 535
= confidence%.
= 80%
![(1-\alpha) = 0.8](https://tex.z-dn.net/?f=%281-%5Calpha%29%20%3D%200.8)
![\alpha = 0.2](https://tex.z-dn.net/?f=%5Calpha%20%3D%200.2)
Looking in the normal standard table, we have that
= 1.28.
Substituting this values in the formula we have:
![0.5677-0.0729 + 1.28\sqrt{\frac{0.5677(1-0.5677)}{347}+\frac{0.0729(1-0.0729)}{535}}= 0.4948 + 0.03696\\\\ 0.5677-0.0729 - 1.28\sqrt{\frac{0.5677(1-0.5677)}{347}+\frac{0.0729(1-0.0729)}{535}}= 0.4948 - 0.03696](https://tex.z-dn.net/?f=0.5677-0.0729%20%2B%201.28%5Csqrt%7B%5Cfrac%7B0.5677%281-0.5677%29%7D%7B347%7D%2B%5Cfrac%7B0.0729%281-0.0729%29%7D%7B535%7D%7D%3D%200.4948%20%2B%200.03696%5C%5C%5C%5C%200.5677-0.0729%20-%201.28%5Csqrt%7B%5Cfrac%7B0.5677%281-0.5677%29%7D%7B347%7D%2B%5Cfrac%7B0.0729%281-0.0729%29%7D%7B535%7D%7D%3D%200.4948%20-%200.03696)
![0.4948 + 0.03696 = 0.5318\\\\0.4948 - 0.03696 = 0.4578\\](https://tex.z-dn.net/?f=0.4948%20%2B%200.03696%20%3D%200.5318%5C%5C%5C%5C0.4948%20-%200.03696%20%3D%200.4578%5C%5C)
Then the confidence interval for p1-p2 is: (0.4578 , 0.5318)
Answer: If you are solving for m it would be -37 or 37 with the added negative
Step-by-step explanation:
34 = -(m + 3)
34 = -m - 3
+ 3 = -m + 3
37 = -m
Answer:
gyue yg e y ee
Step-by-step explanation: