Answer:yeah❤
Step-by-step explanation:
Answer:
The minimum number of drivers you would need to survey is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
The margin of error is:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
What is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.04?
The number is n for which M = 0.04.
We don't have an estimate for the proportion, so we use
. Then
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
![0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}](https://tex.z-dn.net/?f=0.04%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.5%2A0.5%7D%7Bn%7D%7D)
![0.04\sqrt{n} = 1.96*0.5](https://tex.z-dn.net/?f=0.04%5Csqrt%7Bn%7D%20%3D%201.96%2A0.5)
![\sqrt{n} = \frac{1.96*0.5}{0.04}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A0.5%7D%7B0.04%7D)
![(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E2%20%3D%20%28%5Cfrac%7B1.96%2A0.5%7D%7B0.04%7D%29%5E2)
![n = 600.25](https://tex.z-dn.net/?f=n%20%3D%20600.25)
Rounding up:
The minimum number of drivers you would need to survey is 601.
Answer:
![A=50.27\ cm^2](https://tex.z-dn.net/?f=A%3D50.27%5C%20cm%5E2)
Step-by-step explanation:
<u><em>The complete question is</em></u>
A circle with a radius of 3 cm sits inside of a circle with a radius of 5 cm. What is the area of the Shaded Region?
The shaded region is the area outside the smaller circle and inside the larger circle
we know that
The area of the shaded region is equal to subtract the area of the smaller circle from the area of the larger circle
Remember that
The area of the circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
so
The area of the shaded region is
![A=\pi [r_1^2-r_2^2]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5Br_1%5E2-r_2%5E2%5D)
where
![r_1=5\ cm](https://tex.z-dn.net/?f=r_1%3D5%5C%20cm)
![r_2=3\ cm](https://tex.z-dn.net/?f=r_2%3D3%5C%20cm)
substitute
![A=\pi [5^2-3^2]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5B5%5E2-3%5E2%5D)
![A=\pi [16]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5B16%5D)
![A=16\pi\ cm^2](https://tex.z-dn.net/?f=A%3D16%5Cpi%5C%20cm%5E2)
assume
![\pi =3.1416](https://tex.z-dn.net/?f=%5Cpi%20%3D3.1416)
substitute
![A=16(3.1416)=50.27\ cm^2](https://tex.z-dn.net/?f=A%3D16%283.1416%29%3D50.27%5C%20cm%5E2)
Answer:
8x(3x^2 +1)
Step-by-step explanation:
24x^3 + 8x
We can factor out 8x
8x(3x^2 +1)
B.A. (batting average) = # of hits ÷ number of times at bat (AB), which excludes times walked, hit by pitcher, or sacrifices.
Multiply B.A. by AB (660) to get # of hits: 0.300•660 = 198 hits.