Answer: 
Step-by-step explanation:
Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.
Proportion of success : 
Sample size taken by customs official : n= 3
Let x be a binomial variable that represents the tablets in the bottle.
Using Binomial probability formula :-
The probability that the traveler will be arrested for illegal possession of narcotics =
![1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}](https://tex.z-dn.net/?f=1-%5E3C_0%28%5Cdfrac%7B2%7D%7B3%7D%29%5E0%281-%5Cdfrac%7B2%7D%7B3%7D%29%5E3%5C%5C%5C%5C%3D1-%281%29%281%29%28%5Cdfrac%7B1%7D%7B3%7D%29%5E3%5C%20%5B%5Cbecuase%20%5EnC_0%3D1%5D%5C%5C%5C%5C%3D1-%5Cdfrac%7B1%7D%7B27%7D%3D%5Cdfrac%7B26%7D%7B27%7D)
Hence, the probability that the traveler will be arrested for illegal possession of narcotics =
Answer:
uhm
Step-by-step explanation:
(f·g)(x) is x^5 - 5x^4 + 4x³ - x² + 5x - 4
Step-by-step explanation:
- Step 1: Given, f(x) = x² - 5x + 4 and g(x) = x³ - 1 Find (f·g)(x)
(f·g)(x) = f(x)·g(x) = (x² - 5x + 4)(x³ - 1)
= x^5 - 5x^4 + 4x³ - x² + 5x - 4
= x^5 - 5x^4 + 4x³ - x² + 5x - 4
Answer:
b.168
Step-by-step explanation:
The equation of g(x) is 
Explanation:
Given that the function f(x) is 
Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.
We need to determine the equation of g(x)
<u>Equation of g(x):</u>
The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).
Thus, we have,
Substituting the values,we have,
Simplifying the values, we get,
Hence, the equation of g(x) is
