Aos= -b/2a so plunin your numbers and you'll get the AOS so you can find the vertex
The bear can walk at a rate of 2 mph, which means after 4 hours it could have traveled 8 miles. That is our radius. To calculate the area of a circle, remember the formula
A =
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r^2
3.14 * 8^2 = A
3.14 * 64 = A
200.96 = A
An area of
200.96 square miles must be searched.
Answer:
Step-by-step explanation:
Given that 33.4% of people have sleepwalked.
Sample size n =1459
Sample favourable persons = 526
Sample proportion p = ![\frac{526}{1459} \\=0.361](https://tex.z-dn.net/?f=%5Cfrac%7B526%7D%7B1459%7D%20%5C%5C%3D0.361)
Sample proportion p is normal for large samples with mean = 0.334 and
std error = ![\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.334(1-0.334)}{1459} } \\=0.0123](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D%20%5C%5C%3D%5Csqrt%7B%5Cfrac%7B0.334%281-0.334%29%7D%7B1459%7D%20%7D%20%5C%5C%3D0.0123)
a) P(526 or more of the 1459 adults have sleepwalked.)
![=P(p\geq 0.361)\\=P(Z\geq \frac{0.361-0.334}{0.0123} \\=P(Z\geq 2.20)\\=0.5-0.4861\\=0.0139](https://tex.z-dn.net/?f=%3DP%28p%5Cgeq%200.361%29%5C%5C%3DP%28Z%5Cgeq%20%5Cfrac%7B0.361-0.334%7D%7B0.0123%7D%20%5C%5C%3DP%28Z%5Cgeq%202.20%29%5C%5C%3D0.5-0.4861%5C%5C%3D0.0139)
b) Yes, because hardly 1.4% is the probability
c) 33.4 is very less compared to the average. Either sample should be improved representing the population or population mean should be increased accordingly.
D would be the most reasonable because the whole set up adds up to 10 and you only have a chance of drawing all of the colors in a row