6. Find the difference of the areas of a square and a semi-circle if the square is inscribed in the semicircle having a radius of 15 m. The base of the square lies on the diameter of the circle.

Q: 8. What is the value of seasonal index for month 1, year 3?

A: 8. From the given information, year Month Sales 1 2 5.35   3 4.48   4 6.76   5 7 2 2…

Q: m #2: A maintenance firm has gathered the following information regarding the failure mechanism for…

A: 2) Answer:- Given data table is,    Gas leaks (yes) Gas leaks (No) Total  Evidence of…

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A: Given:        y=14sinx4 The area under the curve is the area between a curve f(x) and x-axis on the…

Q: 21.1 Evaluate the following integral: * 7/2 (6 + 3 cos x) dx (a) analytically; (b) single…

A: Solution :-

Q: Please explain the solution in a clear manner, step by step.

A: Given figure is:Labelling the vertices:The figure consists of 5 triangles: ABG, BCG, CGF, CDF and…

Q: Find the probability of obtaining exactly one heart in four drawing from a deck of 52 cards.

A: Let p be the probability of getting heart. Then p = 13/52 = 0.25 Let X denote the number of hearts…

Q: Please explain the solution in a clear manner, step by step.

A: To evaluate the required quantities to the desired accuracy

Q: Z Let ƒ (z) = 1+|z|* (a) Prove that f is continuous on C. (b) Show that f maps C onto the open disk…

A:

Q: (√x² + y² − 2) dx + √√√x² + y² − 1) dy = 0

A:

Q: Find the critical value za/2 corresponds to 99.5% confidence level.

A:

Q: Problem #14T °Each side of a square is lengthened-by 3-inches. The area of the new, larger square is…

A:

Q: A classical example of the Poisson distribution involves the number of deaths caused by horse kicks…

A: Given, No of years n = 20 No of corps = 14 No of deaths = 196

Q: Please explain the solution in a clear manner, step by step.

A: We have to find measure of angle A in degree.We have made a right angle triangle by joining the…

Q: 3. Let's assume you have a dataset as given below. Perform second order Lagrange interpolation and…

A: Lagrange's Interpolation formula x f(x) 1 0.1411 1.3 -0.6878 1.6 -0.9962 1.9 -0.5507…

Q: Please explain the solution in a clear manner, step by step.

A: Given figure is: Labelling the vertices,In any triangle, the sum of angles is 180°Also, the sum of…

Q: The author purchased a slot machine that is configured so that there is a 2000 5. probability of…

A: Binomial distribution formula

Q: Determine the minimum sample size if the Margin of error is 0.045, with confidence level 95%, and p…

A:

Q: By using Newton Raphson Method, the repeated root of 4x^3-8x^2-3x+9=0 using 2 as Xn is? O 1.6 1.55…

A: Given equation is 4x3 -8x2 -3x+9=0 Take fx = 4x3 -8x2 -3x+9 First derivative of f(x) is fx = 4x3…

Q: Please explain the solution in a clear manner, step by step.

A: We have to find measure of angle A in degree.Where AC and BC are measured in feet and inches .sides…

Q: If there are three candidates for governor and five for mayor, in how many ways can the two offices…

A: We have given that  Candidates for governor = 3 Candidates for mayor = 5 Total candidates = 8

Q: F0. Given that f(x) : 5 %3D x-4' find f-(x)

A:

Q: Solve the following differential equations: a) * – i = t² - b) 2x + 10x – 6 = 0 -

A:

Q: 2. Solve for the margin of error for a 98% confidence level, the sample size is 1230, of which 40%…

A: 2)GivenConfidence level =98%sample size(n)=1230p^=0.40

Q: Please explain the solution in a clear manner, step by step.

A: To calculate the required angles and the sides to the desired accuracy , using trigonometry

Q: 2.30 In how many different ways can a true-false test consisting of 9 questions be answered?

A: