You don't even have to actually do the division to find the correct answer.
The leading term of q(x) is x³/x² = x, so only the 1st and 3rd selections are appropriate.
The remainder r(x)/b(x) will have the divisor as b(x), so only ...
.. the 1st selection is appropriate.
Answer:
256π
Step-by-step explanation:
Given that:
The height of the cylinder: 12 cm
The radius of the sphere : 10
Let r is the radius of the cylinder, use Pytagon
10² = r² + 6²
<=> r² = 10² - 6² = 64
<=> r = 8
Hence, the lateral area of the cylinder
L= 2πrh
= 2π8*16
= 256π
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: They would be a rectangle.
Step-by-step explanation:
2 right angles need at least 4 sides, making it impossible to have a 3-sided 2 right angle triangle.
