Essentials of Discrete Mathematics
3rd Edition
ISBN: 9781284056242
Author: David J. Hunter
Publisher: Jones & Bartlett Learning
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Aloha Airlines Flight 007 is flying due east but finds it necessary to detour around a group of
thundershowers. The plane 1st turns at a bearing of N 73° E, flies for a while, then 2nd turns to intercept
the original path and travels for 50 km at a bearing of S 41° E, back to the original path.
As stated the plane traveled 50 km in the 2nd leg of the journey getting back to the path. How far did the
plane travel in the 1st leg of the journey?
Question 6
Aloha Airlines Flight 007 is flying due east but finds it necessary to detour around a group of
thundershowers. The plane 1st turns at a bearing of N 73° E, flies for a while, then 2nd turns to intercept
the original path and travels for 50 km at a bearing of S 41° E, back to the original path.
As stated the plane traveled 50 km in the 2nd leg of the journey getting back to the path. How far did the
plane travel in the 1st leg of the journey?
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- Find the derivative of the function. 5 1 6 p(x) = -24x 5 +15xarrow_forward∞ 2n (4n)! Let R be the radius of convergence of the series -x2n. Then the value of (3" (2n)!)² n=1 sin(2R+4/R) is -0.892 0.075 0.732 -0.812 -0.519 -0.107 -0.564 0.588arrow_forwardFind the cost function if the marginal cost function is given by C'(x) = x C(x) = 2/5 + 5 and 32 units cost $261.arrow_forward
- Find the cost function if the marginal cost function is C'(x) = 3x-4 and the fixed cost is $9. C(x) = ☐arrow_forwardFor the power series ∞ (−1)" (2n+1)(x+4)” calculate Z, defined as follows: n=0 (5 - 1)√n if the interval of convergence is (a, b), then Z = sin a + sin b if the interval of convergence is (a, b), then Z = cos asin b if the interval of convergence is (a, b], then Z = sin a + cos b if the interval of convergence is [a, b], then Z = cos a + cos b Then the value of Z is -0.502 0.117 -0.144 -0.405 0.604 0.721 -0.950 -0.588arrow_forwardYou want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately p∗=11% of the population have the genetic marker. You would like to be 90% confident that your estimate is within 0.5% of the true population proportion. How large of a sample size is required?n = (Wrong: 10,603) Do not round mid-calculation. However, you may use a critical value accurate to three decimal places.arrow_forward
- 2. [20] Let {X1,..., Xn} be a random sample from Ber(p), where p = (0, 1). Consider two estimators of the parameter p: 1 p=X_and_p= n+2 (x+1). For each of p and p, find the bias and MSE.arrow_forward1. [20] The joint PDF of RVs X and Y is given by xe-(z+y), r>0, y > 0, fx,y(x, y) = 0, otherwise. (a) Find P(0X≤1, 1arrow_forward4. [20] Let {X1,..., X} be a random sample from a continuous distribution with PDF f(x; 0) = { Axe 5 0, x > 0, otherwise. where > 0 is an unknown parameter. Let {x1,...,xn} be an observed sample. (a) Find the value of c in the PDF. (b) Find the likelihood function of 0. (c) Find the MLE, Ô, of 0. (d) Find the bias and MSE of 0.arrow_forward3. [20] Let {X1,..., Xn} be a random sample from a binomial distribution Bin(30, p), where p (0, 1) is unknown. Let {x1,...,xn} be an observed sample. (a) Find the likelihood function of p. (b) Find the MLE, p, of p. (c) Find the bias and MSE of p.arrow_forwardGiven the sample space: ΩΞ = {a,b,c,d,e,f} and events: {a,b,e,f} A = {a, b, c, d}, B = {c, d, e, f}, and C = {a, b, e, f} For parts a-c: determine the outcomes in each of the provided sets. Use proper set notation. a. (ACB) C (AN (BUC) C) U (AN (BUC)) AC UBC UCC b. C. d. If the outcomes in 2 are equally likely, calculate P(AN BNC).arrow_forwardH-/ test the Series 1.12 7√2 by ratio best 2n 2-12- nz by vitio test enarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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