1 Let A = PDP and P and D as shown below. Compute A“. 1 2 1 0 D = 0 3 P = 4 7 A (Simplify your answers.)

Q: Match the correct end behavior with the given degree and leading coefficient Degree: Odd Leading…

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Q: Let a, b e Z. If both a and b are odd, then 5a+b is even and a+4b is odd.

A: Proof:  Given that a and b are odd Let a=2k+1 and b = 2m+1 for some  integers k, m  ∈Z Now,…

Q: Find the convolution e4*e4z 1/4(e( Su) – e( du)) syntax error. Check your variables - you might be…

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Q: Find the sum of , and 2 z+1 2z+9 (z-3)(z+1) 2z+9 2z-2 2z+3z+9 (z-3)(z+1) -2z+15z+9 (z-3)(z+1)

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Q: 3x- 7. 4. 2x+ x-5 x-1

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Q: sEn=1 p-1 for p>1. (0 – 1)

A: To prove: π4 ≤ ∑n=1∞ 1n2 + 1 ≤π4+12 ,  and  1p-1 ≤∑n=1∞ 1np ≤p(p-1), for p>1

Q: Example for unboundedness Min s.t -2₁ - 3x2 2₁-2×₂ 54 JM -2₁ + x₂ < 3 21 2₂ 0

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Q: (i) Find the number of permutations of the 8 letters of the word SYLLABUS. Find also the number of…

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Q: ex(n) 2n u(n + 2) ise 921

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Q: otal points 13. Construct the sign diagram for the expression (x + 1)(x - 2). O O I (x + 1)(x - 2) O…

A: A sign diagram depicts the intervals in which a function produces positive or negative results. The…

Q: Divisibility (Absthraed Algebia) Show that iF 79-5 is a mulh ple of 3 2. Then a8a-13a -5 Is a…

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Q: Find the order of (3, 4) in Z4 × Z6

A: Z4={ 0,1,2,3 } mod 4Z6={ 0,1,2,3,4,5 } mod 6Order (a,b) in Zm*Zn = LCM { order( a), order (b)}

Q: Find all values of k so that k+1 4 9 k+1 -12 is invertible. To enter your answer, first select…

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Q: 1. P(y is even) 2. P(y is odd) 3. P(y is greater than 2)

A: Let  Y be the random variable having probability mass function is,    Y 1 2 3 3 5 6 P(Y)  1/7…

Q: Suppose a number x has the same integer representation in distinct integer bases a and b, where a <…

A: If x has the same integer representation in bases a and b, where a &lt; b, then the value of x in…

Q: Prove that A CB P(A) C P(B).

A: We have to prove that

Q: Example: If)=e* dx, how small does n have to be to guarantee that (f)-T,(f) <10-³?

A: If=∫01ex-2dx If-Tnf≤10-3

Q: (a) How many different programs (in terms of order) can be arranged? There are 6227020800 different…

A: Given data in the problem isnumber of bands = 7number of comics = 6 We have to perform student…

Q: -11+x*9 Given the above equation, yhal is the value of 20-(11-x)?

A: Adding or subtracting the same number on both sides of an equality equation will not affect the…

Q: (-1)"+ (2n)! Let an = an+l ant1 Compute an

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Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1+ an-2+ 5, express a, in terms of n. %3D 3. Let, a, =…

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Q: Let d₂(n) be equal to the number of permutations of n that contain no fixed points or transpositions…

A: Given, d2(n) be equal to the number of permutations of n that contain no fixed points or…

Q: 2. (a) Show that for all integers n ≥ 0,32n-1 is divisible by 8. (b) Show that 2n -1. (d) Show that…

A: Let's go through each part one by one:(a) Show that for all integers  is divisible by 8.It can prove…

Q: Show that 1 Is En=1 2 1?+ 1 4

A: (Solving the first question as per our guidelines) Solution: The series is ∑n=1∞1n2+1 Split the…

Q: The eqmivalance cluss f the element o is denuled by [o] , Thuy bý defination. %3D - {zez |…

A: We have to explain the steps.

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.