the coefficient for the first term is 1, the next is 11 and so on... now, notice, the elements of the binomial, the 1st element starts off with 11, and every term it goes down by 1, the 2nd element starts off at 0, and goes up by 1 in each term.
now, to get the next coefficient, you simply, "get the product of the current coefficient and the exponent of the 1st element, and divide that by the exponent of the 2nd element in the next term".
for example, how did we get 165 for the 4th term.... well (55*9)/3
how did we get 462 for the 6th term? well (330*7)/5.
and then you can just expand it from there.
Answer:
And replacing using the mass function we got:
And adding the values we got:
Step-by-step explanation:
Let X the random variable of interest, 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:
We want to find the following probability:
And replacing using the mass function we got:
And adding the values we got:
Answer:
0.02275
Step-by-step explanation:
We use this z score formula to solve for this question
z-score is is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
From the above question,
x = 77
μ = 75
σ = 7
number of samples = 49
Hence, the z score = 77 - 75/ (7/√49)
= 2/(7/7)
= 2/1
= 2
Hence, the z score = 2
Using the z table to find probability
P(x<77) = 0.97725
P(x>77) = 1 - P(x<77)
= 1 - 0.97725
= 0.02275
Therefore, the probability that the same mean will be larger than 77 years
is 0.02275
Answer:
Correct answer: Third answer aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾
Step-by-step explanation:
Given:
-5, -10, -20, -40,.....
First term a₁ = -5
Second term a₂ = -10
Third term a₃ = -20
Common ratio or quotient
q = a₂ / a₁ = a₃ / a₂ = -10 / -5 = -20 / -10 = 2
q = 2
First term a₁
Second term a₂ = a₁ · q = a₂ · q²
Third term a₃ = a₂ · q = a₁ · q³
.....................................................
n-th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾
aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾
God is with you!!!
