X = 9 X/-9 +9=8 9<span>/-9 +9=8 </span>
Answer:

Step-by-step explanation:
If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.



Equation of a circle: 
(where (h, k) is the center and r is the radius)
Substituting found center (-2, 2) into the equation of a circle:


To find
, simply substitute one of the points into the equation and solve:



Therefore, the equation of the circle is:

Amount of water after splash = 25(4/5) = 20L
Amount of water after Tina adds water = 20L + 7L = 27L
Answer:
A) buddy = sadie + 14
B) buddy + sadie = 136
A) buddy -sadie = 14
Adding equations A & B
2 * buddy = 150
buddy = 75 pounds
sadie = 61 pounds
Step-by-step explanation:
Answer:
We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%
Step-by-step explanation:
-From the given information,
.
-We calculate the confidence interval using this value at 95% confidence level:
![CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z%20%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%201.96%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.65%5Ctimes%200.35%7D%7B12000%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%200.0085%5C%5C%5C%5C%5C%5C%3D%5B0.6415%2C0.6585%5D)
So, the 95% confidence interval is (0.6515,0.6585).
Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.