Terri Vogel, an amateur motorcycle racer, averages 129.82 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.26 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. a. What is the distribution of X ? \( \mathrm{X}-\mathrm{N}(129.82 \) b. Find the proportion of her laps that are completed between 129.66 and 132.45 seconds. c. The fastest \( 4 \% \) of laps are under seconds. d. The middle \( 70 \% \) of her laps are from to

The electric potential \( V \) at a point is given by \( V(x, y, z)= \) \( A\left(y^{2}-x^{2}\right) \exp \left(-B z^{2}\right) \), where \( A= \) \( 15 \mathrm{Vm}^{-2} \) and \( B=2.5 \mathrm{~m}^{-2} \) (i) Find the magnitude of the electric field vector on the positive \( x \)-axis at at point 1 m from the origin. (ii) Determine the curl of the electric field in part(i) above.

(4) \( 35 \% \) of a number is 80 What is my number?

13 A shell can be packed from end to end with 18 large books or 24 small books. Mrs Tan already placed 3 large books and 1 small book on the shelf. At most, how many more small books can Mrs Tan place on the shelf?

1. Answer the following questions based on the prescription above. a. Your pharmacy stocks Lisinopril in the following dosage forms: Tablet Lisinopril 5 mg Tablet Lisinopril 20 mg Calculate the number of tablets to be dispensed for each tablet strength for the prescribed duration.

б. \( 62-18 x<20 \)