(06.06 MC)  Fifteen pairs of measurements were taken at random to estimate the relation between variables X and Y. A least-squares line was fitted to the collected data. The resulting residual plot is shown. Which of the following conclusions is appropriate? (3 points)

Select all of the following that fall into the CDC/USSGO recommendations for the FITT principle as it applies to resistance training that would integrate both muscle strength and endurance benefits: 

Find the fourth roots of 16(cos 200° + i sin 200°). (5 points)

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 20 and 2500, respectively. (5 points)

Find the indicated limit, if it exists.(7 points) 

Determine whether the vectors u and v are parallel, orthogonal, or neither. u = , v = (5 points)

Is high blood LDL or blood HDL beneficial? Why?            

The position of an object at time t is given by s(t) = -1 – 13t. Find the instantaneous velocity at t = 8 by finding the derivative. (9 points)

Solve the triangle. B = 36°, a = 41, c = 17 (5 points)

(01.02, 02.01, 06.02 MC) Peter is the owner of a hardware supply shop. He has hired you to check his machine’s calibration prior to starting production on a large order. To check this, you set the machine to create 2.0 inch nails and manufacture a random sample of 200 nails. That sample of nails has an average length of 2.024 inches with a standard deviation of 0.205 inches.Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs?