(04.05 MC)  The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zifeng Tower and the Wuhan Center have heights of 1,476 feet and 1,437 feet, respectively. The Shanghai Tower and Marina 101 have z-scores of 1.27 and −0.84, respectively. Part A: List these four buildings in order from shortest to tallest. (5 points) Part B: Mathematically explain your reasoning and be sure to include all necessary calculations. (5 points) (10 points)

Consider the following two projects:ProjectYear 0C/FYear 1C/FYear 2C/FYear 3C/FYear 4C/FYear 5C/FYear 6C/FYear 7C/FDiscountRateAlpha-792025303540N/AN/A16Beta-802525252525252515Assume that projects Alpha and Beta are mutually exclusive. The correct investment decision and the best rationale for that decision is to ________.

A beam has dimensions of b = 14 in., h = 28 in., and d = 25.5 in. and is reinforced with 4 No. 5 bars. The concrete strength is 4,600 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 1.657503 in., determine the strain in the reinforcement.

(04.06 MC)  Given a normal distribution with a mean of 128 and a standard deviation of 15, what percentage of values is within the interval 83 to 173? (4 points)

A beam has dimensions of b = 14 in., h = 22 in., and d = 19.5 in. and is reinforced with 2 No. 7 bars. The concrete strength is 6,400 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 0.945378 in. and the strain in the reinforcement is εs = 0.042172, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.

(06.06 LC)  A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature. Based on the collected data, the least-squares regression line is ŷ = 15.66 + 3.58x, where x is the number of degrees by which temperature exceeds 60 degrees Fahrenheit. Which of the following statements best describes the meaning of the slope of the least-squares regression line? (3 points)

(04.05 LC)  The weight of bags of coffee beans at the grocery store follows a Normal distribution with a mean of μ = 7 ounces and a standard deviation of σ = 2 ounces. Suppose we pick four bags of coffee beans at random from the shelf and find their total weight, W. Which of the following statements describes the random variable W? (3 points)

________________________ is a general education objective in art appreciation that assess the students ability to analyze problems by separating fact from opinions, using evidence from diverse sources effectively, and using sound reasoning to specify multiple solutions and their consequences. 

The only factors that change ones recommended caloric intake are sex and age. 

At 25°C, the equilibrium constant Kc = 0.0012 for the reaction  B(aq) + C(aq)  ↔  2A(aq)     A solution of 0.80 M of B and 0.80 M of C is mixed and allowed to come to equilibrium. A student does the following steps below to calculate the equilibrium concentration of A.  There is one error in this calculation. Identify the step where the student made an error.  (keeping extra digits until the end of the calculation is not an error).