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: 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: - 7z - 25 Evaluate (3x + 5)(r – 1) Add Work Submit Question

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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: 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: Compute p(3), where pe Pol,(R) is the interpolation polynomial to the data p(1) = 1, (1) = 4. p(2) =…

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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: 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: You draw one card from a well-shuffled standard deck of 52 cards. Let = drawing a Diamond and let A…

A: given total number of cards in the well shuffled standard deck =52so the sample space  is  the total…

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: The next smallest number of the binary number 0101100000 is a. 0101100001 b. 0101111111 c.…

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Q: X-4 1.8 Given: f(x) = 3x + k and g(x) = 3 For what value of k is f(g(x)) = g(f(x))?

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Q: Algebra Cours Use the table of values to evaluate the expressions below. f(x) g(x) 8 3 7 9. 5 4 3 1…

A: g(2) =6 f(0) =7 f(9) =4 g(1) =7

Q: A pizza is covered with multiple toppings 1/8 of the pizza is covered with in mushrooms 1/8 of the…

A: 1/8 of the pizza is covered with in mushrooms 1/8 of the pizza is covered in onions

Q: ompute the gcd of 11 + i and 61 in Z[i] to find x + yi such that x2 + y? = 61.

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Q: QUESTION 1 Determine the type of expression as polynomial, binor trinomial or monomial. 1.1 1.1.1…

A: Given : (1 )  2a³ +3a²b-4ab² +8b³ - 1 (2)    3x³ - 2x² + x (3)    4ab- ab (4)    2xy (5)      x0

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: Show that (x2 + 1)/(x + 1) is 0(x+1)

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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.