Question:
Find the term of the binomial expansion containing y^12
Last updated: 7/23/2022

Find the term of the binomial expansion containing y^12. (x^4+y)^21
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Binomial theoremQuestion 4 of 25 A study of immunizations among school age children in California found that some areas had rates of unvaccinated school age children as high as 13 5 in 2014 Imagine a classroom of 20 children in one such area where 13 5 of children are unvaccinated If there are no siblings in the classroom we are willing to consider the vaccination status of the 20 unrelated children to be independent a Obtain the probability that none of the 20 children in such a classroom would be unvaccinated Enter your answer rounded to three decimal places I P None of the 20 children are unvaccinated b Obtain the probability that at least one of the 20 children in such a classroom would be unvaccinated Enter your answer rounded to three decimal places

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Binomial theoremSuppose the binomial expansion of (x - y)^n includes the term - 84x^6y^3.
The x^5y^4 term in the expansion will be
The x^6y^8 term in the expansion will be

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Binomial theoremConsider the binomial expansion of (4x + 3y)^n. Suppose the expansion includes a x^4y^8 term. Then n = ___
Check ALL of the following which will NOT in the simplified expansion of (4x + 3y)^n.
x^8y^4
x^8y^6
x^9y^3
x^6y^8

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Binomial theoremUse the Binomial Theorem and Pascal's Triangle to find the expanded form of the binomial expression.
(2x+3y)
A. (2x) +6(2x)³ (3y)+15(2x)*(3y)² +20(2x)³ (3y)³ +15(2x)² (3y)* +6(2x)(3y)³ +(3y)
B. (2x)+7(2x)³ (3y)+21(2x)*(3y)² +35(2x)³ (3y)² +21(2x)²(3y)* +7(2x)(3y)³ +(3y)

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Binomial theoremThe time between breakdowns of an alarm system is exponentially distributed with mean 10 days. What is the probability that there is less than 1 breakdown on a given day?
.9048
.3679
.0952
.000

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Binomial theoremSuppose the binomial expansion of (4x + 5y)^n includes the term 1400000x³y⁴.
(A) The x³y⁴ term in the expansion will be?
(B) The x⁵y⁴ term in the expansion will be?

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Binomial theoremThe polynomial (x + 9)⁷ (x – 5)² (- 3x² + 7x + 2)³ has degree?
The leading term will be?

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Binomial theoremSuppose the binomial expansion of (x - y)n includes the term – 84x6y3
The x5y4 term in the expansion will be ___
The x6y8 term in the expansion will be ___

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Binomial theoremSuppose the binomial expansion of (x + y)^n includes the term 3003x⁶y⁸.
The x⁵y⁹ term in the expansion will be?
The x⁴y³ term in the expansion will be?

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Binomial theoremSuppose the binomial expansion of (2x – 3y)n includes the term –15120x4y3
The x4y3 term in the expansion will be
The x5y3 term in the expansion will be