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%.
28, by the way you could’ve just used a calculator
To solve the inequality 
The numerator 
is not factorizable.
so factor the denominator 
:
Now take 
Then we get factor of the denominator as 
Thus 
Now 
Signs of 
is the required solution of the given inequality.
Answer:
a) The original conditional statement
Answer:
Answers are square root of 2, square root of 7,
Step-by-step explanation:
Irational is a number that is never ending.
Square root of 2 is irrational since there is no pattern to the number after the decimal.
10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is not a irrational.
Sqrt of 7 does not have a pattern after the decimal point so it is irrational.
5.87 with a dash on top is rational since it means it has a pattern of continues 87's.
Last one it is equal to 2 so it is rattional.
