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).

One of the three basic assumptions in the theory of flexure for reinforce concrete is that the strain in the reinforcement is less than the strain in the concrete at the same level.

Tell me about a joint/muscle group that you feel hinder your day to day living or performance.    Then please list 2 different methods to improve mobility around that joint/muscle group – explain each method you are using to improve mobility and how it works.