2. The following values are the scores of 10 Grade 11 Statistics and Probability students in their Third Summative Test. Determine the and sample; statistics (sample mean, sample variance and sample standard deviation). POPULATION: 35 28 25 31 32 33 34 34 27 29 SAMPLE: 25 28 31 33 35

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (1,…

A: The objective is to find the equation of plane that passes through the point (1,6,9) and is parallel…

Q: Express the following sums in summation or product notation |을 + + +급 +급 + 뉴 | 22+4z + 6z"+...+30z³1

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Q: 1. Let A= Z+, B= {n € z|1<n < 10} C= {10 , 20, 30, 40, 50} Evaluate and falsify the following (a)…

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Q: 2r3 + 4x² + 7x – 6 dx xª – 3x² – 4

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Q: (1–3cot.x)² dx cscx

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Q: A population consists of the following one-digit number (2, 3, 5, 7, 8). Without replacement, let us…

A: Solution-: Given data: 2,3,5,7,8 Here, N=5 (a) List all the possible sample size of 3 from this…

Q: Solve y(y ³-x) dx + x(y² + x) dy= A B C D 3 2xy ³-x³=cy² 2xy²-x²=cy² 2xy³ – x²=cy² 2xy ³ - x²=cy ³

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Q: Use the given derivative to find all critical points of f, and at each critical point determine…

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Q: Solve the heat equation Ut ux (0, t) u(x, 0) = = = 0 0 t> 0 Uxx, 0, ux(2, t) = 0, fx, 0<x< 1 [0,…

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Q: (x² +2y2- 11x- 3y + 31 = 0 x+y+4 3D0

A: Given equations: x2+2y2-11x-3y+31=0              (i) -x+y+4=0              (ii)

Q: complete solution

A: From the given table we can calculate the mean.  So,  Mean of X1 is sum of total nummberstotal…

Q: 4. A survey indicates that for each trip to the supermarket, a shopper spends an average of 45…

A: The normal distribution is widely applicable in many fields like statistics, mathematics, economics,…

Q: Solve the DE x¹y'+x³y=-ese(xy) by forming integrable combinations. A2x² Inlese (xy)-cor(xy) |= Cx²+1…

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Q: (xy² + x³y) dy + y³ –x*)dx = 0 y(1) = 0.5

A: Given differential equation, xy2+x3y12dy+y3-x4dx=0,y1=0.5 Find the general solution in the…

Q: Find the elements of A, where A = {x|8 >x> 1} 1. 2. Find the eiements of the binary relation from A…

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Q: Cos 5x dx 3 +Sin 5x 1. 2. dx J16-9 (n x)²

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Q: Find the solution. y' = 5y + e-2x y-2, y(0) = 2 -15x 13e A) y = + 3e 2r1/3 23 139e 15x – 3e -2x \1/3…

A: Given differential equation is in the form of Bernoulli's differential equation.

Q: Solve y = x - 2ycot 2x A B C D (4x-1) sin2x + 2ycos2x = C (4y - 1) sin2x + 2xcos2x = C 2xsin 2x +…

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Q: 1. From a lot of 10 construction materials, 4 are selected at random and tested. If the lot contains…

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Q: 13. Solve the rccursive formula an = an-1 +1+2"-1 with ao = 0. Verify by %3D induction.

A: T

Q: The joint density function of random variable X and Y is given by {12x*y*(1 – x) 0<x, y < 1 0 < x, y…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: sin xdx 3. S: 7+cos? x

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Q: Given the equation (x + 2y) da + (2æ + y) dy = 0, with initial condition y(2)=-3. a. Prove that the…

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: 1. The following values are the scores of 10 Grade 11 Statistics and Probability students in their…

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Q: IV. Convert z = -4 + j3 into: a.Polar Form b.Trigonometric Form C.Exponential Form

A: Polar form, exponential form

Q: Given the following vectors, solve for the required. A 51-9)- 7k; B 6j + 3k + 21 and C = 4)- 8i AxB…

A: Explanation of the answer is as follows