Question Solved1 Answer Identify and EXPLAIN two (2) economic strengths of the Philippines that may contribute to a greater integration among the countries in the Asian region. Example: Population, Diverse geography

A jury of 12 begins with the premise that the accused is innocent. Assume that these 12 jurors were chosen from a large population, such as voters. Unless the jury votes unanimously for conviction, the accused is set free. (a) Evidence in the trial of an innocent suspect is enough to convince half of all jurors in the population that the suspect is guilty. What is the probability that a jury convicts an innocent suspect? (b) What type of error (Type I or Type II) is committed by the jury in part (a)? (c) Evidence in the trial of a guilty suspect is enough to convince \( 95 \% \) of all jurors in the population that the suspect is guilty. What is the probability that a jury fails to convict the guilty suspect? (d) What type of error is committed by the jury in part (c)?

4.3 The following data are the response times in seconds for n = 25 Grade 1 students to arrange three objects by size: 5.2 3.8 5.7 3.9 3.7 4.2 4.1 4.7 4.3 3.1 2.5 3.0 4.4 4.8 3.6 3.9 4.8 5.3 4.2 4.7 3.3 4.2 3.8 5.4 a. Find the mean and the standard deviation for these 25 response times. Given that { x = 454.810 (4 marks) b. Order the data from smallest to largest. (2 marks) c. Find the Z-scores for the smallest and largest response times. Is there any reason to believe that these times are unusually large or small? Explain. (4 marks)

(a) According to Eq. 8 and 9, compute the gradient of g(W) withrespect to W. Your result should be in the form of X, Y, and W. TE 9(W) = {(x?W – y.) (7) = ||XW - Y113 = (XW-Y)'(XW-Y) (8) (9)

An electric motor rotating a workshop grinding wheel at a rate of 203 rev/min is switched off. Assume constant angular decel- eration of magnitude 2.02 rad/s². Through how many revolutions does the wheel turn before it finally comes to rest? Answer in units of rev. 1. 5.00675 28.82961 3. 14.2052 4. 11.3377 5. 10.6677 6. 17.8028 7. 6.52588 8. 13.4902 9. An electric motor rotating a workshop grinding wheel at a rate of 203 rev/min is switched off. Assume constant angular decel- eration of magnitude 2.02 rad/s². Through how many revolutions does the wheel turn before it finally comes to rest? Answer in units of rev. 1. 5.00675 28.82961 3. 14.2052 4. 11.3377 5. 10.6677 6. 17.8028 7. 6.52588 8. 13.4902 9. 14.7782 10. 16.7567

d²y 2 dx y = - 8x⁹ +1 Find d²y dx || Find dx d²y 2 dx². 8x³ y=- -7x 3 d²v 2 dt² v=3t²2² +6t+ 14 Find d²v 0- 2 dt² 11 Find d²y d²y dx 2° dx y = 4x +9 11 Find dy 2 dx y= d²y 2 dx² || 1 8 d²y 2 dx y=√x Find d²y dx || Find f''(x). f(x) = 5x²-13x- f''(x) = 4 3 X Find f''(x). f(x)=x¹/7 f''(x) = Find f''(x). -2 f(x) = 7x-² f''(x) = Find f''(x). f(x) = (x² d²y 2 dx y = - 8x⁹ +1 Find d²y dx || Find dx d²y 2 dx². 8x³ y=- -7x 3 d²v 2 dt² v=3t²2² +6t+ 14 Find d²v 0- 2 dt² 11 Find d²y d²y dx 2° dx y = 4x +9 11 Find dy 2 dx y= d²y 2 dx² || 1 8 d²y 2 dx y=√x Find d²y dx || Find f''(x). f(x) = 5x²-13x- f''(x) = 4 3 X Find f''(x). f(x)=x¹/7 f''(x) = Find f''(x). -2 f(x) = 7x-² f''(x) = Find f''(x). f(x) = (x² + 5)² f''(x) = For the function y = 9x5, find d^y 4 dx 11 day 4 dx

Standing on the roof of a 96-m tall building, a girl holds her hand past the edge and throws a ball straight up at 9.2 m/s. The ball rises, then falls and strikes the ground. Considering "up" to be the positive direction, find the ball's velocity v when it is 43 m above the ground. Remember to include a "-" sign if the velocity is negative. V= m/s Record Standing on the roof of a 96-m tall building, a girl holds her hand past the edge and throws a ball straight up at 9.2 m/s. The ball rises, then falls and strikes the ground. Considering "up" to be the positive direction, find the ball's velocity v when it is 43 m above the ground. Remember to include a "-" sign if the velocity is negative. V= m/s Record your numerical answer below, assuming three significant figures.