Answer:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And for this case we want to find this probability:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Answer:
(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12)
Step-by-step explanation:
Given:
Polynomial 27a^3 b^9+8c^18
Factoring the given polynomial
27a^3b^9 can be written as
=3^3.a^3.b^3^3
=(3ab^3)^3
Also 8c^18 can be written as
=2^3.c^6^3
=(2c^6)^3
Hence Polynomial 27a^3 b^9+8c^18 can be written as
=(3ab^3)^3+(2c^6)^3
Applying sum of cubes formula i.e. a^3 + b^3=(a+b)(a^2 – ab + b^2)
=(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12) !
Answer:
C
Step-by-step explanation:
Rate of change is the slope
Function A:
Slope = change in y/Change in x
= (9-3)/(3-0) = 6/3 = 2
Function B:
Clearly the slope is 3
(y = mx + c, m is the slope)
Rate of change of B is more than A
Answer:
Step-by-step explanation:
X P(X=x)
0 0.39*0.39*0.39 = 0.059319
1 3*0.61*0.39*0.39 = 0.278343
2 3*0.61*0.61*0.39 = 0.435357
3 0.61*0.61*0.61 = 0.226981
The equation above has no real solution because it has no real number 0 is not a number that can take place of a real solution.
Hope This helped;D