Using Excel spreadsheets and the headings of the table below, 1. find an estimate of the root of the equation x3 + 2x – 4 = 0, using bisection method. Perform computations to 3 decimal places.
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A: Given: Let us consider the given systems, x1-2x2+2x3+3x4=-1 -3x1+6x2+x3+5x4=-11 2x1-4x2-2x3-6x4=10 (...
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A: Given: An athlete runs 3 mi in 24 min. An athlete runs 4 mi in 33 min.
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Q: tion, rounded to two decimals. (Enter your answers as a comma-separated list.) x4 − 9x2 + 2 = 0
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- solve the following using any interpolation and polynomial approximation method.Based on the Output 1, would you suspect the multicollinearityproblem in this model? Show all the necessary procedures.Suppose that a random number is chosen from the interval (0,2). What is the probability that the quadratic equation 4x^2−x+k=0 has two distinct real roots? ROUND OFF your answer in DECIMAL FORM (4 decimal places)
- If only 7 of the 12 spins land in the blue region, do we have convincing evidence that the website’s claim is false? Compute P(X ≤ 7) with technology and use this result to support your answer.The accompanying table is used to make the preliminary computations forfinding the least squares line for the given pairs of x and y values.Find the global max and min of (4x +1)/(x+2) on [-1,4]
- A certain company produces fidget spinners with ball bearings made of either plastic or metal. Under standard testing conditions, fidget spinners from this company with plastic bearings spin for an average of 2.7 minutes, while those from this company with metal bearings spin for an average of 4.2 minutes. A random sample of three fidget spinners with plastic bearings is selected from company stock, and each is spun one time under the same standard conditions; let x¯1x¯1 represent the average spinning time for these three spinners. A random sample of seven fidget spinners with metal bearings is selected from company stock, and each is likewise spun one time under standard conditions; let x¯2x¯2 represent the average spinning time for these seven spinners. What is the mean μ(x¯1−x¯2)μ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2 ? 3(2.7)−7(4.2)=−21.33(2.7)−7(4.2)=−21.3 A 3−7=−43−7=−4 B 2.7−4.2=−1.52.7−4.2=−1.5 C…If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?Determine the real root of lnx^4 = 0.7(a) Using three iterations of the bisection method. Employ initial guesses of a = 0.5and b = 2.0.(b) Using three iterations of the false-position method with the same initial guesses as (a)