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- Answer all the boxes and box the answers. Thank you write it downarrow_forwardChatgpt means downvote Because Chatgpt gives wrong answerarrow_forwardOne bulb manufacturer claims an average bulb life of 1,600 hours. It is suspected that the actual average is significantly lower. To verify this, a sample of 49 bulbs is selected and the life of each bulb is measured. A sample mean of 1,500 hours and a standard deviation of 120 hours were obtained from them. Can you be sure, at 5% significance, that the mean life is less than what the manufacturer claims?arrow_forward
- The specification calls for the dimension of a certain mechanical part to be 0.55 inches. A random sample of 35 parts taken from a large batch showed a mean 0.54 in. with a deviation of 0.05 in. Can it be concluded, at 1% significance, that the batch of parts meets the required specification?arrow_forwardLet = , -2 X(t) = [ 6° 2t e -3e -2t X(t)= 2e-2t -6e- -2t 9]. Verify that the matrix ✗(t) is a fundamental matrix of the given linear system. Determine a constant matrix C such that the given matrix Ŷ (t) can be represented as Ŷ(t) = X(t)C. C = help (matrices) The determinant of the matrix C is help (numbers) which is Choose . Therefore, the matrix ✗(t) is Choose Book: Section 3.3 of Notes on Diffy Qsarrow_forwardA manufacturer produces a wire rope of a certain type, which has a breaking strength of not more than 300 kg. A new and cheaper process is discovered which is desired to be employed, provided that the wire rope thus produced has an average breaking strength greater than 300 kg. If a random sample of 26 wires produced with the new process has given a mean of 304.5 kg and a standard deviation of 15 kg, should the manufacturer adopt the new process?arrow_forward
- 5. mit answer urces Use Simpson's Rule and all the data in the following table to estimate the value of the 31 integral f(x) dx. 25 25 26 27 28 29 30 31 f(x) 4 44 4 -9 -2 9 2 5 (Round your answer to within two decimal places if necessary, but do not round until your final computation.) Simpson's Rule Approximation: PROGRES Score Completi 30 i Submit answer T The Weather Channel UP DELL FB F4 F5 F9 9. F10arrow_forwardFind the most general real-valued solution to the linear system of differential equations + C2 7-430 help (formulas) help (matrices) [*] »B] [8]: In the phase plane, this system is best described as a source/unstable node O sink / stable node saddle center point / ellipses spiral source spiral sink none of these Book: Section 3.5 of Notes on Diffy Qsarrow_forwardFind the most general real-valued solution to the linear system of differential equations x x(t) y(t) = +C2 [*] [] [B] In the phase plane, this system is best described as a source/unstable node sink/stable node saddle center point / ellipses spiral source spiral sink none of these Book: Section 3.5 of Notes on Diffy Qs help (formulas) help (matrices)arrow_forward
- Find the most general real-valued solution to the linear system of differential equations x(t) -9 8' [J - j (-8-8 y(t) In the phase plane, this system is best described as a source/unstable node sink/stable node saddle center point / ellipses spiral source spiral sink none of these Book: Section 3.5 of Notes on Diffy Qs -12 11 help (formulas) help (matrices)arrow_forwardFind the most general real-valued solution to the linear system of differential equations x(t) -2 7-730 --8-8 y(t) = In the phase plane, this system is best described as a source/unstable node sink / stable node saddle center point / ellipses spiral source spiral sink ☐ none of these Book: Section 3.5 of Notes on Diffy Qs 1 help (formulas) help (matrices)arrow_forwardConsider the system of differential equations dx 8 3 x Y dt 4 -- (0) + (1) (음)- (0) dy 18 y. dt For this system, the eigenvalues are help (numbers) Enter as a comma separated list. How do the solution curves of the system above behave? All of the solutions curves would converge towards 0 (sink/stable node). All of the solution curves would run away from 0 (source/unstable node). The solution curves would race towards zero and then veer away towards infinity (saddle point). The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 5, y(0) = 3 is x(t) = help (formulas) y(t) = help (formulas) Book: Section 3.5 of Notes on Diffy Qsarrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL