Find the value of, (i) k (ii) P(X < 4) (iii) P(3 < X< 6).
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A: The null and alternative hypothesis is,
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A: It is given that P(3) = 5/18.
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A: We used Rolles theorem.
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A: I am attaching image so that you understand each and every step.
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A: Given : f'(x)= 6x2-8xandf(3)= 23 Solution: Solving this Initial…
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A: First of all, I believe, as per the (partly) solution you have written, that the question asks us to…
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Q: Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25
A: We have to solve for the function f(x) when f(x)≥0. Given function - f(x)= x2 + 6x - 7x2 -10x + 25
Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.
A: Definite integration
Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise
A: Solution is given below
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Q: 1. Find the intervals of increase and decrease for: y = -4x² + 15x? + 18x + 3
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Q: find the limit of each rational function (a) as xS q and (b) as xS -q.
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
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Q: g(x)=3x^5-2x^2+x+1 What is the deggree, leading coeffiecent, constant term, and end behavior?
A: To find the degree, leading co-efficient, constant term and behavior of the given function.Result…
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A: Topic:- calculus
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Q: Find f by solving the initial-value problem. f '(x) = 6x2 − 12x, f(3) = 6
A: Below is the solution;-
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Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3
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Q: 2. GIVEN g(x) = / x³-3x² + 3x-1/. FIND g (-4)
A: Formula: (a-b)3=a3+3a2(-b)+3a(-b)2+(-b)3 (a-b)3=a3-3a2b+3ab2-b3.
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Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, ³-4x = 1 in…
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Q: Describe the long run behavior of f(n) = - 4n° + 2n° – n² + 4 As n → - 00, f(n) → As n → 0, f(n) → ?
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Q: The x-values satisfying that 2x² + 5x – 12 > 0 is:
A: We have 2x2 +5x -12≥0
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Q: 13. The domain of f(x)=3x+5+2x' is 14. The range of f(x)=3x+5+2x' is 15. What is the value of the…
A: We have to find domain
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A: Supply of x Units of a certain product at price p dollars Per unit is given by p = 19+6In(3x+1) For…
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Q: т :-x+ = k а - x Solve for d: d
A: GIVEN: ac - x + md = k
Q: 3 Find the general solution of x = Ax, where A
A: we need to find all eigenvalues and eigenvectors for the coefficient matrix
Q: 2 4 Fs [f"(x)] = √ √ ² Pf60) - P²Fs {f(x)] proof: H⋅w.
A: Introduction: A Fourier rework (FT) is a mathematical rework that decomposes capabilities relying on…
Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.
A: f(x) = x - 10 f(x) = 5
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A: Definition used - Interval of increase - A function f(x)…
Q: For f(x) = 25x3 + 50x2 - 4x +10 ... how do I find all values of x for which f(x) = 18 ?
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Q: 7. Find y"' of ƒ(x) = 5x* + 4x³ – 7x2 8. Find y* of f(x) = x* – 5x? + 12x – 3
A: Take derivative 3rd time to given function In question (7) and 4th time to given function in…
Q: 5. P(x) = -3x- x³ + x² + x - 10 F(x) = 2x + x- 3x2 - 6 F(x) = x-x- x- 1
A: To find the number of zeroes and variations of polynomials. According to our company's guidelines I…
Q: Find f by solving the initial-value problem. f '(x) = 9x2 + 8x − 5; f(2) = 2
A: Given: Integrate the function f'(x) with respect to x.
Q: Find the interval (a, a + 1) for integer value a for which e- = 2x + 3 has a solution.
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- Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.The probability density function of the continuous random variable X defined in the set of non-negative real numbers is given as f(x) = 2.exp(-2x). What is the expected value of X?A continuous random variable has the probability density function f(x) = 1/8 for 0 ≤ x ≤ 8. What is the expected value of X?
- If the probability density of X is given by f(x) =2x−3 for x > 10 elsewherecheck whether its mean and its variance exist.What is the variance of a continuous probability distribution given by the density function f(x) = 4x(1-x) for 0 < x < 1?IF F(x, y) is the value of the joint distribution function of X and Y at (x, y), show that the marginal distribution function of X is given by G(x) = F(x, ∞) for - ∞ <x < ∞ Use this result to find the marginal distribution function of X for the random variable F(x, y) = { (1-e-x2 ) (1- e-y2) for x>0, y> 0 and 0 elsewhere
- A continuous random variable X has probability distribution function f(x) , wheref(x) = k(1 − x2) for − 1 < x < 1.Find the variance of the random variable X.What is the variance of a continuous probability distribution function with the probability density function f(x) = 4(x-1)^2 for 0 < x < 2?let x denotes the percentage of time out of 40 hour workweek that a call center agent is serving a client by answering phone calls, suppose that x has probability density function defin by f(x)=3x^2 for 0< x < 1. find the mean and variance of x
- The probability density function of a random variable X is given by Find the probability that it will take on a value within two standard deviations of the mean andcompare this probability with the lower bound provided by Chebyshev’s theorem.Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour and 30 minutes (90 minutes) to recharge the vehicle's battery. Assume that the actual recharging time required is uniformly distributed between 70 and 110 minutes. (a) Give a mathematical expression for the probability density function of battery recharging time for this scenario. f(x) = , 70 ≤ x ≤ 110 , elsewhereAsmall petrol station is supplied with petrol once a week. Assume that its volume X of potential sales (in units of 10,000 litres) has the probability density function f(x) = 6(x − 2)(3 − x) for 2 ≤ x ≤ 3 and f(x) = 0 otherwise. Determine the mean and the variance of this distribution. What capacity must the tank have for the probability that the tank will be emptied in a given week to be 5%?