Exercise 6.1 The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.

Q: ownership domly lecte listed below. Estimate the population variance and standard deviation for the…

A: It is given that the data 66, 75.8, 70.9, 73.9, 63.4, 68.5, 73.3,65.9

Q: A clinic took temperature readings of 250 flu patients over a weekend and discovered the temperature…

A: given data gaussian distribution : normal distributionμ = 101.20σ = 0.7840

Q: 2. Suppose TEL(V) is invertible. Prove that E(X, T) = E(T-¹) for all λ 3 Show that the function that…

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Q: Write the equation of a parabola whose directrix is y = 0.75 and has a focus at (8,5.25).

A: NOTE: Refresh your page if you can't see any equations. . the equation of directrix is given by the…

Q: 2.) 2 (x -y)dx + (3x² - GxY - 2x) dy

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Q: Pages in Romance Novels. A copyeditor thinks the standard deviation for the number of pages in a…

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Q: Find a parametric representation of the solution set of the linear equation. (Enter your answer as a…

A: Parametric form of solution : If there are m free variables in the homogeneous equation, the…

Q: Given -1+ cos-(x) x2 + 10x + 16 -dx f(t) At what value of t does the local max of f(t) occur? t =

A: We find the required value of t for which local maximum value of f (t) occur.

Q: We know that (+)' = Find A A = x (Ax+B) (x+1)²

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Q: Which of the following is the correct graph with the shaded area represents P(Z < 2) ? Select one: O…

A: We need to fine the graph with shaded area that represents P(Z&lt;2).

Q: Two kinds of thread are being compared for strength. Fifty pieces of each type of thread are tested…

A: Given Information: Brand A: Sample size n=50 Sample mean x¯=78.3 Standard deviation σ=5.6 Brand B:…

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A: If you board the ferris wheel at point P at time t = 0, and each wheel rotates in the direction…

Q: A square matrix A is said to be idempotent if A? = A. Show that if A is idempotent, then so is I –…

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Q: Question 1 The income of farmers depends on various factors. To predict the income of the next year,…

A: Given Information: Consider the given residuals plots and Normal Q-Q plots.

Q: Q11 Find the area bounded between x = /y,x = y – 6 where x > 0. Draw a sketch to interpret your…

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Q: An economist is interested to see how consumption for an economy (in $ billions) is influenced by…

A: The data is defined below as follows:   From the information, given that   Let x1 denotes the slope…

Q: 2) Given, f(x)= (2x+1)/ 25, x= 0, 1, 2, 3, 4 Determine the mean and variance of the random variable.

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Q: 0. A par

A: Given, Dimension= 35.8mm Tolerance= +or- 0.3mm

Q: A can contains 16 pounds of vegetables. One serving of these vegetables weights pound. What is the…

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Q: 3) It has been found that 20% of students who enroll in an introductory statistics class withdraw…

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Q: The length of a rectangle is 6 more than the width. The area is 720 square feet. Find the length and…

A: Use the information  above and area of rectangle formula.

Q: Using the Extended Euclidean Algorithm the greatest common divisor of 68 and 95 can be written as a…

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Q: 26. For the triangle ABC, we are given that A = 43°, B= 55°, and c = 28.0. 43 55° 28 Find the length…

A: Use the Sine rule of triangle and simplify.

Q: The graph to the right represents a map of the states Wisconsin, Michigan, Illinois, Indiana, Ohio,…

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Q: 5. Use an algebraic strategyto verify that the point given for each function is either a maximum or…

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Q: Given fff arctandrdydz where T = {(x, y, z): x² + y² + z² ≤ 4, z ≤ 0} The integral may be written in…

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Q: . The point given is the maximum or minimum value of the corresponding function. Use the difference…

A: Given slope of tangent line is derivative of function  Hence slope is zero.

Q: 3V2 + 4V2

A: We have to simplify the above expression.

Q: Given R = D²c² - (D-A)2 and D=0.3456+ 0.0005; C=0.1234+ 0.0045; A=0.9876+ 0.0034. Calculate R and…

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Q: Find the solution of the initial value problem. 9y"-12y' + 4y = 0, y(0) = 2, y'(0) = -1

A: To find the solution of the initial value problem 9y''-12y'+4y=0,    y0=2,   y'0=-1

Q: 5. In general mathematics examination, students got an average of 82 and the standard deviation of…

A: 5) Given: Mean μ=82 Standard deviation σ=7 10 students got scores between 78 to 86.