The last answer...
At time 0, the velocity is 6.
When the velocity is 0, the time is 8
Answer:
0.288 < p < 0.338
Step-by-step explanation:
We have 2331 adults polled and 730 said they believe in UFOs. We are to construct a 99% confidence interval for the population proportion. We are told to round to 3 decimal places as needed.
We need to find p-hat and q-hat
p-hat = 730/2331 = 0.313
q-hat = 1 - p-hat = 1 - 0.313 = 0.687
Since the sample size is greater than 30, we use a z-value for 99% confidence, which is 2.575
See attached photo for the construction of the confidence interval
Answer:
Step-by-step explanation:
positive integer divisible by 3 includes
3,6,9,12,15,18,21,24,27,30,33,36,39,42,45...
less than highest possible value is 42
Answer:
-4
Step-by-step explanation:
8+4(-3)
first solve 4(-3)
4(-3)
4*-3=-12
8+(-12)
8-12
-4
keeping in mind that the circle has a radius of 1.6 ft.
![\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=1.6 \end{cases}\implies A=\pi (1.6)^2\implies A=2.56\pi \implies A\approx 8.04~ft^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=1.6 \end{cases}\implies C=2\pi (1.6)\implies C=3.2\pi \implies C\approx 10.05~ft](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2%20~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D1.6%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%20%281.6%29%5E2%5Cimplies%20A%3D2.56%5Cpi%20%5Cimplies%20A%5Capprox%208.04~ft%5E2%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bcircumference%20of%20a%20circle%7D%5C%5C%5C%5C%20C%3D2%5Cpi%20r~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D1.6%20%5Cend%7Bcases%7D%5Cimplies%20C%3D2%5Cpi%20%281.6%29%5Cimplies%20C%3D3.2%5Cpi%20%5Cimplies%20C%5Capprox%2010.05~ft)