Good I am pretty sure I am a smart person so….
Answer:
Option C ![=8.4672\times10^{13}](https://tex.z-dn.net/?f=%3D8.4672%5Ctimes10%5E%7B13%7D)
Step-by-step explanation:
Given : Astronomers measure large distances in light years. One light-year is the distance that light can travel in one year or approximately 5,880,000,000,000 miles.
Suppose a star is 14.4 light years from earth.
To find : How many miles away a star is from earth?
Solution :
In 1 light-year the distance a light can travel is = 5,880,000,000,000 miles.
or =
miles
In 14.4 lights year the distance is ![=14.4\times (5.88\times10^{12})](https://tex.z-dn.net/?f=%3D14.4%5Ctimes%20%285.88%5Ctimes10%5E%7B12%7D%29)
![=84.672\times10^{12}](https://tex.z-dn.net/?f=%3D84.672%5Ctimes10%5E%7B12%7D)
or ![=8.4672\times10^{13}](https://tex.z-dn.net/?f=%3D8.4672%5Ctimes10%5E%7B13%7D)
Therefore, Option C is correct - ![=8.4672\times10^{13}](https://tex.z-dn.net/?f=%3D8.4672%5Ctimes10%5E%7B13%7D)
Answer:
A.
B.
C.
F.
Step-by-step explanation:
It might be wrong but im about to finish
Edit: This is incorrect
Answer:
![P(5)=0.238](https://tex.z-dn.net/?f=P%285%29%3D0.238)
![P(x\geq 6)=0.478](https://tex.z-dn.net/?f=P%28x%5Cgeq%206%29%3D0.478)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%3D0.114)
Step-by-step explanation:
In this case we can calculate the probability using the binomial probability formula
![P(X=x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D%2Ap%5Ex%2A%281-p%29%5E%7Bn-x%7D)
Where p is the probability of obtaining a "favorable outcome " x is the number of desired "favorable outcome " and n is the number of times the experiment is repeated. In this case n = 10 and p = 0.54.
(a) exactly five
This is:
![x=5,\ n=10,\ p=0.54.](https://tex.z-dn.net/?f=x%3D5%2C%5C%20n%3D10%2C%5C%20p%3D0.54.)
So:
![P(X=5)=\frac{10!}{5!(10-5)!}*0.54^x*(1-0.54)^{10-5}](https://tex.z-dn.net/?f=P%28X%3D5%29%3D%5Cfrac%7B10%21%7D%7B5%21%2810-5%29%21%7D%2A0.54%5Ex%2A%281-0.54%29%5E%7B10-5%7D)
![P(5)=0.238](https://tex.z-dn.net/?f=P%285%29%3D0.238)
(b) at least six
This is: ![x\geq 6,\ n=10,\ p=0.54.](https://tex.z-dn.net/?f=x%5Cgeq%206%2C%5C%20n%3D10%2C%5C%20p%3D0.54.)
![P(x\geq 6)=P(6) + P(7)+P(8)+P(9) + P(10)](https://tex.z-dn.net/?f=P%28x%5Cgeq%206%29%3DP%286%29%20%2B%20P%287%29%2BP%288%29%2BP%289%29%20%2B%20P%2810%29)
![P(x\geq 6)=0.478](https://tex.z-dn.net/?f=P%28x%5Cgeq%206%29%3D0.478)
(c) less than four
This is: ![x< 4,\ n=10,\ p=0.54.](https://tex.z-dn.net/?f=x%3C%204%2C%5C%20n%3D10%2C%5C%20p%3D0.54.)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%3DP%283%29%20%2B%20P%282%29%2BP%281%29%2BP%280%29)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%3D0.114)
Answer:
zero (0)
Step-by-step explanation:
-4^0=-1
-1+1=0