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A wall footing has the following conditions. Determine the moment capacity, Mn, of the footing. Assume the footing is 3 ft wide, the pressure that acts on the bottom of the footing is 6,133 psf, and the reinforcement is a #7 bar spaced every 12 inches.The bottom of the footing is at a depth of 2 ft below grade.The service dead load is 6 kips/ft, and the service live load is 7 kips/ft.The wall is 14 in. thick.The footing is 10 in. thick.The allowable soil pressure, qa, is 5,000 psf.The soil has a density of 130 lb/ft3.The concrete has a density of 150 lb/ft3.The concrete cover has a thickness of 3 in.f’c = 3,300 psi and fy = 60,000 psi.

Although concrete is made up of essentially elastic, brittle materials, its stress-strain curve is nonlinear.

Vibrio cholerae causes which of the following diseases?

(Applying Two-Way Frequency Tables LC)P(A) = 0.37, P(B) = 0.20, and P(A∩B) = 0.074. Are events A and B independent? Justify the answer mathematically.

(Interpreting Independence MC)There is a 25% chance that a book has a red cover, a 32% chance that a book is fiction, and a 16% chance that a book is fiction with a red cover. Determine whether the events “red cover” and “fiction” are approximately independent events. Justify mathematically.

(Interpreting Independence MC)There is a 25% chance that a book has a red cover, a 48% chance that a book is fiction, and a 12% chance that a book is fiction with a red cover. Determine whether the events “red cover” and “fiction” are approximately independent events. Justify mathematically.

(Interpreting Independence MC)There is a 25% chance that a book has a red cover, a 32% chance that a book is fiction, and an 8% chance that a book is fiction with a red cover. Determine whether the events “red cover” and “fiction” are approximately independent events. Justify mathematically.

(Applying Two-Way Frequency Tables MC)A social media company tracked the professions of 290 users who watched different types of videos and displayed the data in a table. Beauty Tips Contests Interviews Reveals Artist 31 5 11 16 Student 29 15 19 14 Engineer 12 17 21 17 Nurse 8 23 29 23 Is being an artist independent of watching interviews for these social media users? Justify your conclusion.

(Combinations and Permutations MC)A spelling bee has 20 contestants. In how many ways can they finish in first, second, and third place?

(If…Then Statements MC)Given the conditional statement, determine the inverse statement.Statement: If it is summer, then some people are drinking lemonade.