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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

Find the term of the binomial expansion containing y^12. (x^4+y)^21

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Question 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
Math
Binomial theorem
Question 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
Suppose 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
Math
Binomial theorem
Suppose 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
Consider 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
Math
Binomial theorem
Consider 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
Use 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)
Math
Binomial theorem
Use 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)
The 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
Math
Binomial theorem
The 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
Suppose 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?
Math
Binomial theorem
Suppose 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?
The polynomial (x + 9)⁷ (x – 5)² (- 3x² + 7x + 2)³ has degree?
The leading term will be?
Math
Binomial theorem
The polynomial (x + 9)⁷ (x – 5)² (- 3x² + 7x + 2)³ has degree? The leading term will be?
Suppose 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 ___
Math
Binomial theorem
Suppose 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 ___
Suppose 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?
Math
Binomial theorem
Suppose 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?
Suppose 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
Math
Binomial theorem
Suppose 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