A researcher would like to determine whether social media use is related to self-esteem. He collects a sample of 8 students and measures the number of hours using social media (X) and the self-esteem (Y) of each participant. Y 53 84 5 44 1 115 63 37 41 78 A. State the null and alternate hypotheses B. Calculate the Person Correlation Coefficient C. What does the correlation coefficient measure? 2. 3.

Q: Let y be the curve with vector form r(t) = (1/(t+ 2), sin(sin(sin t)), e-"). a) Determine whether…

A: The parametric curve is r(t)=⟨1t+2, sin( sin( sin t)),e-t⟩. x(t)=1t+2, y(t)=sin( sin( sin t)),…

Q: 8. Find a non-trivial normal subgroup of the octic group. Demonstrate that this subgroup is normal.

A: According to the given information, it is required to find a non-trivial normal subgroup of the…

Q: Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find…

A: Mean(µ) = 1030Standard deviations (σ) = 89X ~ N (µ, σ )= N(1030, 89)

Q: . Find all critical points of the function f(x, y) = xy + x – y and classify them as loca maxima or…

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Q: 9. Suppose we deposit $1000 into a bank account which pays 5% annual interest, and the interest is…

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Q: Is the following function one-to-one? y = x5 – 7x3 – 9x

A: Given y=x5-7x3-9x

Q: Complete the description of how to transform the graph of f(x) = x2 to obtain the graph of the…

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Q: . Find solution of the initial value problem y" + 7y' +12y = 0, y(0) = 3, y'(0) = -1.

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Q: If a function f is continuous for all real numbers and if х2 + 2х- ах —2а f(x) = when x a, then f…

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Q: Suppose there are 111 cards numbered 1 through 111. Draw a card at random. Let X be the number of…

A: Let X be the number of digits on the card (between 1 and 3) and let Y be the number of zeros.

Q: 1. The unit cube Q in the first octant has vertices at (1,0, 0), (0,0,0), (0, 1, 0), (1, 1, 0),…

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Q: 2 Let m = R[x] be a polynomial with deg m≥ 1. Define a relation Sm on R[x] by the rule that (f,g) €…

A: An equivalence relation is a binary relation on a set that satisfies three properties: reflexivity,…

Q: 5. Given [x] = [a]*[b] is the unique solution in Zn to the equation [a] [x] = [b] solve the…

A: According to the given information, it is required to solve the following equation.

Q: While following a treasure map, you walk 50 m at an angle of 60° north of east, then 50 m at an…

A: We have given we walk 50m at an angle of 60∘ north of east, then 50m at angle of 30∘north of west.…

Q: 6. Let C be the curve in R´ given by the vector-valued function r : R → R defined as r(t) = (cos(e –…

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Q: ess the limit as a definite integral on the given interval. χρ (x)² + 5 lim Π-100 n | = 1 -Δx, [1,…

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Q: 5. Let a and b be vectors in R³. (a) Prove that a xb is orthogonal to both a and b (Note: It's…

A: Let a=a1 i +a2 j+a3k and b=b1 i +b2 j+b3k Then…

Q: Let f = (4 5 6) and g = (1 9 8 4) (2 7 5) (36) be two permutations in S9. (a) Compute fogo f-¹, and…

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Q: 7. Compute gfg, the conjugate pair of f by g for f= (2, 3, 5, 4) and g = (1, 3, 2)(4, 5).

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Q: Let † : R² → R be the function x2 if (x, y) + (0,0) f (x, y) = x + Y if (x, y) (0,0) By using the…

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Q: Make it as simple as possible

A: Therefore, the value of t such that 12% of employees take more than t minutes to put a bouquet…

Q: Let Z1,... Z25 be independent Unif[0, 1] random variables. Let Y be the 13th largest of the 25…

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Q: 6. By making the change of variables u = and u = y , solve the partial differential equation rfz…

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Q: Let C be the curve r(t) = (2t, t², ť /3). (a) Compute the Frenet frame for C. (b) Calculate the…

A: Since, you have posted multi parts questions but according to guidelines we will solve first three…

Q: (a) What base 10 number is equivalent to 10100012? (b) What base 2 number is equivalent to 96110?

A: Given numbers (a) 10100012(b) 96110 we have to convert into base 10 and base 2 system.

Q: Please balance the following Trip Generation results. Zone Productions Attractions 1 75 750 2 225…

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Q: QI) Using Fixed point, bisection, and Newton-Rapson methods, Find a numerical solution of the…

A: we only solve one problem at a time So please submit it one by one

Q: i) Using the fact that e-* dx = Vn, explain how we can verify that the density function for the…

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Q: . Find a solution x € Z, 0 <x <n, for the congruence 57x + 7 = 78 (mod 53).

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Q: Is it possible for a series to have [0, ∞) as its radius of convergence? Explain.

A: No, the power series with interval 0,∞ is not possible.

Q: Identify the local maximum and local minimum of the function shown in the graph below. -6-5-4-3-2-1

A: