A wall footing has the following conditions. Determine the shear capacity, φVn, of the footing. Assume the footing is 5 ft wide, the pressure that acts on the bottom of the footing is 4,640 psf, and the reinforcement is a #8 bar spaced every 12 inches.The bottom of the footing is at a depth of 4 ft below grade.The service dead load is 10 kips/ft, and the service live load is 7 kips/ft.The wall is 16 in. thick.The footing is 13 in. thick.The allowable soil pressure, qa, is 4,000 psf.The soil has a density of 125 lb/ft3.The concrete has a density of 150 lb/ft3.The concrete cover has a thickness of 3 in.f’c = 3,000 psi and fy = 60,000 psi.

The fatigue threshold (also known as the endurance limit) is the stress level in a material below which fatigue failures will normally occur.

Which of the following Neisseria species of bacteria causes an STD/STI?

(Conditional Probability LC)The probability of event A occurring is 0.27, the probability of event B occurring is 0.19, and the probability of events A and B occurring is 0.11. Determine P(A|B).

(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 engineer independent of watching interviews for these social media users? Justify your conclusion.

(Events and Sample Spaces MC)Set A = {engineer, architect, teacher} and Set B = {architect, teacher, mechanic, driver}.Determine the elements in A ∪ B.

(Set Operations and Relations LC)Given A = {2, 6, 7, 8} and B = {2, 3, 9}, determine A x B.

(Logic and Truth Tables MC)Complete the truth table for the given logical statement: p ∨ ∼q

(Logic Operations and Equivalence MC)Use the statements and truth table to determine which statements are equivalent.p: It is a fish.q: It eats algae. p q ∼p ∼q p → q ∼p → ∼q q → p ∼q → ∼p T T F F T T T T T F F T F T T F F T T F T F F T F F T T T T T T

(Applying Two-Way Frequency Tables LC)P(A) = 0.27, P(B) = 0.40, and P(A∩B) = 0.108. Are events A and B independent? Justify the answer mathematically.