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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%.
Answer:
4
+ 8 x - 435=0
Step-by-step explanation:
Let x be any natural number
Let the age of Bill= 2 x+ 1 years (Since age is odd integer)
Than, age of a Susan= 2 x + 3 years
Since ages are consecutive odd integers
According to question
(2 x+1)(2 x+ 3)= 438
4
+ 8 x + 3 = 438
4
+ 8 x + 3 - 438 =0
4
+ 8 x - 435=0
This equation can be used to find the ages of both
Hence, the correct answer is 4
+ 8 x - 435=0
Answer:
She can put 1/165 in one smoothie.
Step-by-step explanation:
1/3 divided by 55/1
1/3 x 1/55 = 1/165
Hope this helps! :)
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