With the help of following given data find the value of ſ° log xdx by utilizing Simpson's 1/3 rule. Further find the value of h for which the obtained value of integral is accurate upto 5 decimal places. X 1.0 1.5 2.0 2.5 3.0 3.5 | 4.0 4.5 5.0 Y=logx 0.0000 | 0.4055 | 0.6931 | 0.9163 | 1.0986 | 1.2528 || 1.3863 | 1.5041 | 1.6094

Q: 4. If JN-14x-17 and NL-3x+38, solve for x.

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Q: Is -2 a solution to 30 = -5(6n + 6)?

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Q: 10 Solve algebraically, giving answers in terms of x: 4cos? 0 =1 %3D

A: As per guideline we have to solve one question

Q: Solve using Jacobi’s Iterative Method

A: Given system is 56-3-2952-7-3412-1-743 x1x2x3x4 = -109-28

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Q: 3 E in (1 -) -in2 , . =-In2 =1 k2 –1 k=2

A: We will  use the limit of partial sum

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Q: finr the exact solution 2*In(4x)=30

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Q: Show all steps to solve for x and y. 2x -6 -12 -3y]

A: Step 1: Step 2: Step 3: Step 4:

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Q: 2x-5 = 4²-x O Option 1 x=2 O Option 2 O Option 3 x=16 O Option 4 x=3 X=4

A: given,   2x-5=42-x

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Q: For which positive numbers a is it true that ax >= 1+x for all x?

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Q: x1 – 3x2 – 9x3 2а1 — 5х2 — 15ӕз — 76 xi – 3x2 8x3 x1 = Ex: 42 X2 Ex: 42 ||

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Q: 1 — х х(х + 1)

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Q: Solve the following IVP: -101 x' = =[ −3]±, ±0)=[-_-?] -6

A: NOTE: Refresh your page if you can't see any equations. . the given matrix is

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Q: Solve for J -3J+3)<-15

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Q: 4x₁x₂x₂ = x2 X2 = 3 2x₁ + 6x₂ + x3 = 9 x₁ + x₂ + 7x₂ = -6

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.