<span>There are 4 vans. So we have that probability that the first vehicle is a van p (e) = 4/10 = 0.4.
P(e|f) = P( f and e) / p (f)
p(e) = 0.4 and p(f) = 3/9
P (f and e) = 0.40 * 0.33 = 0.132
So p(e|f) = 0.4 * 0.33/ 0.33 = 0.4
P(f and e) p(f) * p(e) = 0.4 * 0.33 = 0.132</span>
Answer:
about 180
Step-by-step explanation:
Answer:
Population = All registered voters in Raleigh city
Population size = 9500
Sample size = 360
Proportion of sample statistic for brown = 0.3167
3008 voters
Step-by-step explanation:
Population refers to all elements which meets the requirement for a specific experiment or research interest.
Number of voters for brown = 114
Number of voters for Feliz = 210
Undecided = 36
Sample statistic for proportion in support of brown :
Proportion = x / n
x = number who said they'll vote for brown
n = sample size
Sample statistic for proportion in support of brown = 114 / 360 = 0.3167
Using the proportion ; number from population who'll vote brown :
Sample proportion * population size
0.3167 * 9500 = 3008 voters
47 is a prime number so the only factors are 1 and 47
Factors of 100: <span>1,2,4,5,10,20,25,50,100</span>
Answer:- The functions f(x) and g(x) are equivalent.
Explanation:-
Given functions:- 
and ![g(x)=\sqrt[3]{64^x }](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%20%7D)
Simplify the functions by using law of exponents
Thus 
and ![g(x)=\sqrt[3]{64^x}=\sqrt[3]{(4^3)^x}= \sqrt[3]{4^{3x}}= \sqrt[3]{(4^x)^3}=4^x](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%7D%3D%5Csqrt%5B3%5D%7B%284%5E3%29%5Ex%7D%3D%20%5Csqrt%5B3%5D%7B4%5E%7B3x%7D%7D%3D%20%5Csqrt%5B3%5D%7B%284%5Ex%29%5E3%7D%3D4%5Ex)
⇒f(x)=g(x)
Therefore ,the functions f(x) and g(x) are equivalent.
