(04.05 LC)  Daphne’s teacher told her that the standardized score (z-score) for her history exam, as compared to the exam scores of other students in the course, is 2.50. Which of the following is the best interpretation of this standardized score? (4 points)

The elastic beam theory is not used in the design of reinforced concrete beams because (1) the compressive stress-strain relationship for concrete becomes non-linear at higher strain values and (2) concrete cracks at low tensile stresses making it necessary to use reinforcing steel.

The screening tool most effective for detecting the possibility of autism is:

17. What metabolic process is occurring in this PET scan?

(04.05 MC)  The 15 most populous states in the United States have an average population of 141.51 million, with a standard deviation of 87.49 million. Virginia and Washington have populations of 83.83 million and 71.70 million, respectively. Texas and Pennsylvania have z-scores of 1.52 and −0.15, respectively. Part A: List these four states in order from smallest to largest populations. (5 points) Part B: Mathematically explain your reasoning and be sure to include all necessary calculations. (5 points) (10 points)

(04.02 MC)  The probability of tails of a weighted coin is 0.58. The number of tails is noted each of the 25 times the coin is tossed. If this procedure is repeated 150 times, what type of distribution is simulated? (3 points)

(05.05 MC)  An ecological group suspects dolphins are consuming dangerous levels of arsenic in a region of the world. Dangerous levels of arsenic are classified when they reach beyond 7.0 parts per million. A random sample of 28 dolphins in the region were tested and the data is shown in the stemplot. Key: 2|4 = 2.4 parts per million Part A: What proportion of the dolphins in the sample have dangerous levels of arsenic in their systems? (4 points)Part B: Construct and interpret a 99% confidence interval for the mean arsenic levels of the dolphins if the sample of 28 dolphins has a mean arsenic level of 5.26 parts per million and standard deviation of 1.49 parts per million. (6 points)(10 points)

The elastic beam theory is not used in the design of reinforced concrete beams because (1) the compressive stress-strain relationship for concrete becomes non-linear at higher strain values and (2) concrete cracks at low tensile stresses making it necessary to use reinforcing steel.

A concrete cover of at least two bar diameters is required to sufficiently bond the reinforcement to the concrete.

Sketch the graph of the function. ​ P(x) = ( x – 1 ) 2 ( x – 2 ) ​