Step-by-step explanation:
I think this would be an Isosceles triangle
Answer:
Event is not unusual(p>0.05).
Step-by-step explanation:
Given that :
![p=0.10\\\\n=1100\\\\x=121](https://tex.z-dn.net/?f=p%3D0.10%5C%5C%5C%5Cn%3D1100%5C%5C%5C%5Cx%3D121)
#The sample proportion is calculated as:
![\hat p=\frac{x}{n}\\\\=\frac{121}{1100}\\\\=0.1100](https://tex.z-dn.net/?f=%5Chat%20p%3D%5Cfrac%7Bx%7D%7Bn%7D%5C%5C%5C%5C%3D%5Cfrac%7B121%7D%7B1100%7D%5C%5C%5C%5C%3D0.1100)
#Mathematically, the z-value is the value decreased by the mean then divided the standard deviation :
![z=\frac{\hat p- p}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\\\=\frac{0.11-0.10}{\sqrt{\frac{0.10(1-0.10)}{1100}}}\\\\\\=1.1055](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Chat%20p-%20p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%3D%5Cfrac%7B0.11-0.10%7D%7B%5Csqrt%7B%5Cfrac%7B0.10%281-0.10%29%7D%7B1100%7D%7D%7D%5C%5C%5C%5C%5C%5C%3D1.1055)
#We use the normal probability table to determine the corresponding probability;
![P(X\geq 121)=P(Z>1.1055)\\\\=0.1314](https://tex.z-dn.net/?f=P%28X%5Cgeq%20121%29%3DP%28Z%3E1.1055%29%5C%5C%5C%5C%3D0.1314)
Hence, the probaility is more than 0.05, thus the event not unusual and thus this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.
Answer: Equation
Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8.
Step-by-step explanation: