Question One of the questions on a survey asked adults a series of questions on attitudes toward automation. The results showed that 2,976 out of 4,135 respondents are worried about a future in which robots and computers can do many human jobs; 2,778 are worried about the development of algorithms that can evaluate and hire job candidates; and 2,235 are worried about the development of driverless vehicles. (Round your answers to four decimal places.) (a) Develop a point estimate of the proportion of respondents who are worried about a future in which robots and computer can do many human jobs. (b) Develop a point estimate of the proportion of respondents who are worried that the development of algorithms that can evaluate and hire job candidates. (c) Develop a point estimate of the proportion of respondents who are worried about the development of driverless vehicles.

There is only one answer. Is it true that vitamin C has the ability to cure or prevent the common cold? Or is it just a myth? Cincinnati Children's has 150 children from nearby day cares. Seventy-five of them are randomly assigned to take vitamin C under guidance and 75 are randomly assigned to a no treatment (control group). Both groups are tracked during flu season by Children's; the number of flu patient will be recorded in April next year, the rate of flu infection between the groups will be compared to see if the rate of infection for the vitamin C group is significantly lower than that of the control group. Hypothesis test for one population mean (unknown population standard deviation) Confidence interval estimate for one population mean (unknown population standard deviation) Hypothesis test for population mean from paired differences Confidence interval estimate for population mean from paired differences Hypothesis test for difference in population means from two independent samples Confidence interval estimate for difference in population means from two independent samples Hypothesis test for one population proportion Confidence interval estimate for one population proportion Hypothesis test for difference between two population proportions Confidence interval estimate for difference between two population proportions

The circuit below shows a filter commonly used as the output stage of a power supply. In this application, Vin(t) is switched between 0 and a DC input supply voltage (12V in this case). The filter smooths the switched input so that it is close some desired output from 0-12V. In this exercise, you are interested in determining the start-up behaviour of the system. To this end, do the following: a) Find the transfer function Your C). You may assume that the capacitor and inductor are initially de- Vin) energised. b) Att = 0, Vin(t) is switched to 12 V (i.e. Vin(t) = 12u(t) ). Find the time response Vout(t) = [-!{Vout($)}. Please use partial fraction expansion and the Laplace Transform table to conduct the inversion(s), showing all of your work and explaining your logic clearly to receive full credit. c) How long will it take for Vout(t) to reach 6V? You may use computer tools here, but please clearly explain your logic for full credit. d) Sketch (by hand) the Bode plot for G(s) with the parameter values from part b. As a part of this, please carefully compute and label: i. All asymptotes (e.g. low-frequency & high frequency) ii. All corner frequencies ii. The frequency and magnitude (in dB) of any resonances (if they exist) 50 x 10-3H 000 0.252 Vin(t) 0.2F 11 Vout(t) Figure 2: System for Question 3

Receivables amount to P150,000. Receivable turnover is \( 10 \mathrm{x} \) and inventory is maintained at a level equal to 15 days' sales. Selling price per unit is P100 and has gross profit ratio of \( 40 \% \). A proposal has been made to change the term credit to \( \mathrm{n} / 60 \) to result to an increase in sales volume by one-third or by 5,000 units. Under this proposal, bad debts losses are estimated at \( 1 \% \) to \( 3 \% \) of sales but inventory turnover shall remain the same. How much is the increased accounts receivable? How much is the increased inventory? Compute for the increased operating income.

Vibrations Homework 1 1. (15 pts) A system consists of two cantilever beams (with an equivalent spring constant k1 and k2, respectively) and k1 two springs (k3 and k4) combined in the configuration shown. For k1-k2-k3 k4-100 N/m, calculate the equivalent spring constant of the system with respect to the xcoordinate. k3 k2 Ka 2. (15 pts) In the figure, for a Vibrations Homework 1 1. (15 pts) A system consists of two cantilever beams (with an equivalent spring constant k1 and k2, respectively) and k1 two springs (k3 and k4) combined in the configuration shown. For k1-k2-k3 k4-100 N/m, calculate the equivalent spring constant of the system with respect to the xcoordinate. k3 k2 Ka 2. (15 pts) In the figure, for a 10 cm, b 20 cm, m1- m2 10 Kg, and Jo 10 Kg-m2, calculate the equivalent mass with respect to the x coordinate.

please help! The energy of a photon is related to its frequency through the following equation \[ E=h v \] where \( E \) is the energy, \( h \) is Planck's constant, and \( v \) is the frequency. Rearrange the equation to solve for \( v \). A photon has an energy of \( 4.10 \times 10^{-19} \mathrm{~J} \). What is the frequency of the photon?

An object with total mass mtotal = 17.3 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.9 kg moves up and to the left at an angle of θ1 = 20° above the –x axis with a speed of v1 = 25.5 m/s. A second piece with mass m2 = 5.1 kg moves down and to the right an angle of θ2 = 25° to the right of the -y axis at a speed of v2 = 21 m/s. What is the x-component of the velocity of the third piece? What is the y-component of the velocity of the third piece? What is the magnitude of the velocity of the center of mass of the pieces after the collision? Calculate the increase in kinetic energy of the pieces during the explosion.