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%.
You need a little more information. Take a picture of the oroblem
Answer:
The car was travelling at a speed of 60 miles per hour.
Step-by-step explanation:
Given:
Distance traveled = 330 miles
Time Period = 
we need to find the speed of the car .
Solution:
Time Period = 
Now we can say that;

So Time period = 
Now we know that;
Distance traveled
is equal to Speed
multiplied by Time Period
.
framing in equation form we get;

Dividing both side by 5.5 we get;

Hence The car was travelling at a speed of 60 miles per hour.
Yes. A trapezoid is defined as a <span>quadrilateral with two sides parallel, so a trapezoid with three right angles is just a square!</span>
Answer:
expression: 3(d+35)
simplified expression: 3d + 105
Step-by-step explanation:
The first drone costs d. This means the expression = d
The second drone costs d and an additional $35. Expression = d + 35
The third drone costs 3 times as much as the previous one. Expression = 3(d+35)
To simplify it, you just distribute. Hope this helps :)