Buffon's needle revisited. Two grids of parallel lines are superimposed: the first grid contains lines distance a apart, and the second contains lines distance b apart which are perpendicular to those of the first set. A needle of length r (< min{a, b}) is dropped at random. Show that the probability it intersects a line equals r (2a + 2b - r)/(лab).

Q: 0 is within the scope of the model. What is 1.29. Refer to regression model (1.1). Assume that X =…

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Q: p value is incorrect. please fix that!

A: Take t value from above given data t = 0.6004 df = 57.7 ~ 58

Q: What is the image of point (2,4) under the trans- lation T 6,1

A: Image point under the translation T_(-6,1)

Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: Find u. v. [1.14, -3.26, 2.09, -1.87] = [-2.29, 1.72, 4.33, -1.54] = V =

A: Given u=[1.14, -3.26, 2.09, -1.87] =[u1 u2 u3 u4] say   v=[-2.29, 1.72 ,4.33, -1.54]=[v1 v2 v3 v4]…

Q: find az and dz if uv u=1+St, v= S? ta

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Q: A triangle is to be formed as follows: two sides are to lie on the coordinate axes and the third…

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Q: find the midpoint of AB if A(-3,8) and B(-7,-6).

A: GivenA(-3,8) and B(-7,-6).

Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…