Answer:
see attached picture please
Yes, it's a polynomial it is also a trinomial, so your answer would be C.
Answer:
The margin of error for the 90% confidence interval is of 0.038.
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.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue 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)
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that ![n = 400, \pi = \frac{280}{400} = 0.7](https://tex.z-dn.net/?f=n%20%3D%20400%2C%20%5Cpi%20%3D%20%5Cfrac%7B280%7D%7B400%7D%20%3D%200.7)
90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Give the margin of error for the 90% confidence interval.
![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)
![M = 1.645\sqrt{\frac{0.7*0.3}{400}}](https://tex.z-dn.net/?f=M%20%3D%201.645%5Csqrt%7B%5Cfrac%7B0.7%2A0.3%7D%7B400%7D%7D)
![M = 0.038](https://tex.z-dn.net/?f=M%20%3D%200.038)
The margin of error for the 90% confidence interval is of 0.038.
Answer:
A . x= -16
Step-by-step explanation:
![\\\frac{2}{3}x+1=\frac{1}{6}x-7\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x+1-1=\frac{1}{6}x-7-1\\\\\frac{2}{3}x=\frac{1}{6}x-8\\\\\mathrm{Subtract\:}\frac{1}{6}x\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x-\frac{1}{6}x=\frac{1}{6}x-8-\frac{1}{6}x\\\\= \frac{1}{2}x=-8\\\\\mathrm{Multiply\:both\:sides\:by\:2}\\\\2\times \frac{1}{2}x=2\left(-8\right)\\\\x=-16](https://tex.z-dn.net/?f=%5C%5C%5Cfrac%7B2%7D%7B3%7Dx%2B1%3D%5Cfrac%7B1%7D%7B6%7Dx-7%5C%5C%5C%5C%5Cmathrm%7BSubtract%5C%3A%7D1%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7Dx%2B1-1%3D%5Cfrac%7B1%7D%7B6%7Dx-7-1%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7Dx%3D%5Cfrac%7B1%7D%7B6%7Dx-8%5C%5C%5C%5C%5Cmathrm%7BSubtract%5C%3A%7D%5Cfrac%7B1%7D%7B6%7Dx%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B1%7D%7B6%7Dx%3D%5Cfrac%7B1%7D%7B6%7Dx-8-%5Cfrac%7B1%7D%7B6%7Dx%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B2%7Dx%3D-8%5C%5C%5C%5C%5Cmathrm%7BMultiply%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A2%7D%5C%5C%5C%5C2%5Ctimes%20%5Cfrac%7B1%7D%7B2%7Dx%3D2%5Cleft%28-8%5Cright%29%5C%5C%5C%5Cx%3D-16)