A perfect cube is an integer x such that there exists a an integer y and x = y³. Prove that the sum of 3 consecutive perfect cubes is divisible by 9. For example, 13 + 23 + 3³ = 1+8+27 is divisible by 9.

Q: 国 7.

A: Solve for a

Q: 144

A: 3.14 * 144 This question asks for multiplication of 3.14 and 144,

Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 30-3 1…

A: The given matrix is                                 A=30-3143004  and its eigen values are  λ=3,4

Q: 5.78+9.1

A: We have given that,  5.78+9.1 We will find the addition of the given values?

Q: 3.546 is of 10

A:

Q: x)

A:

Q: P (15. 1) P (11,7)

A:

Q: 1805

A:

Q: 74.1 6.

A:

Q: 0.1092 + 0.21

A:

Q: 6   9,171.6

A:

Q: zscore that corresponds to p18

A: Here, P18 denotes the 18th percentile.

Q: 707 55. 12

A: Consider the given expression as 70712

Q: 23.12 + 72.98

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: 20 Σ 36"

A:

Q: 8. 2 k=1 3k

A:

Q: 4.122

A: Given Information: a) Suppose each lot contains 10 items, you decide to sample 4 items per lot and…

Q: 6. 3 (2s+5)³

A:

Q: In Problems 51-60, find the indicated function or value if C(x, y) = 3x² + 10xy − 8y² + 4x 15y 120.…

A:

Q: 57° 48 33

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.