Question Solved1 Answer 5.3 Recently, a regional automobile dealership sent out fliers to perspective customers indicating that they had already won one of three different prizes: an automobile valued at \( \$ 25,000 \), a \( \$ 100 \) gas card, or a \( \$ 5 \) Walmart shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,478 , the chance of winning the gas card was 1 out of 31,478 , and the chance of winning the shopping card was 31,476 out of 31,478 . a. How many fliers do y ou think the automobile dealership sent out? b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier? c. Using your answer to (a) and the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier? d. Do you think this is an effective promotion? Why or why not?

You would like to speculate on a rise in the price of a certain stock. The current stock price is $\$ 29$ and a 3 -month call with a strike price of $\$ 30$ costs $\$ 2.90$ . You have $\$ 5,800$ to invest. Identify two alternative investment strategies, one in the stock and the other in an option on the stock. What are the potential gains and losses from each?

13. An LC circuit containing a 70.0 mH inductor and a 3.00 nF capacitor oscillates with a maximum current of 0.500 A. Calculate: a. (5 points) the maximum charge of the capacitor b. (5 points) the oscillation frequency of the circuit. c. (10 points) assuming the capacitor had its maximum charge at time t 0, calculate the energy stored in the inductor after 13. An LC circuit containing a 70.0 mH inductor and a 3.00 nF capacitor oscillates with a maximum current of 0.500 A. Calculate: a. (5 points) the maximum charge of the capacitor b. (5 points) the oscillation frequency of the circuit. c. (10 points) assuming the capacitor had its maximum charge at time t 0, calculate the energy stored in the inductor after 3.00 ms of oscillation.

2. A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and 1.224 cm. Assuming this data is normally distributed, what are the mean and standard deviation?

A point charge q = +39.0 μC moves from A to B separated by a distance d = 0.171 m in the presence of an external electric field E with arrow of magnitude 300 N/C directed toward the right as in the following figure. 4. +-22 points SerCP11 16 P.006 My Notes Ask Your Teacher a distance d -0.171 m in the presence of an external electric field E of magnitude 300 N/C directed toward the right as in A point charge q = +39.0 μC moves from A to B separated by the following figure. (a) Find the electric force exerted on the charge magnitude direction --Select b)Find the work done by the electric force (c) Find the change in the electric potential energy of the charge (d) Find the potential difference between A and B Need Help? Read It [A point charge g = +39.0 1iC moves from A to B separated by a distance d = 0.171 min the presence of an external electric feld E of magnitude 300 N/C directed toward the right as in the following figure. E ——>}- A B (2) Find the electric force exerted on the charge. magnitude " direction Select (0) Find the work done by the electric force. a (©) Find the change in the electric poter 2 ‘energy of the charge. (¢) Find the potential difference between A ang 8. Va- Vz v Necd Help? a 

2) Create a maths problem and model solution corresponding to the following question: "Find the directional derivative of the following two-variable function for the supplied point and unit vector" Evaluate the directional derivative at the point (2, 5). Ensure that your supplied function uses both x and y, has 3 terms, and that at least one of those terms 2) Create a maths problem and model solution corresponding to the following question: "Find the directional derivative of the following two-variable function for the supplied point and unit vector" Evaluate the directional derivative at the point (2, 5). Ensure that your supplied function uses both x and y, has 3 terms, and that at least one of those terms contains √x. You may choose the vector representing the direction you will evaluate the directional derivative in, and the derivative must be a multiple of √2.

Find a realization for the proper rational matrix 2 2s - 3 (s + 1)(s + 2) S-2 s +1 S +2 Ĝ(s) S +1 = S