1. (a) Determine whether the following argument is valid or a fallacy: g = -p, r = p,r Fq (b) Negate the following statement: Væ E N, 3y E Y, Vz € Z, [(2x + z > 8) ^ (y – ¤ = 6)] → (x > 11).
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- To test this null hypothesis, we compute t using a special case of the formula. state the formula?6. i reposted it again because i wanted this in detailed not in online calculator, thanksFind the solution of the following Homogeneous Linear DE of Higher Order.A manufacturing company employs two devices to inspect output for quality control purposes. The first device is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Assume that the devices are independent. Determine fxy(X=4,Y=3).
- (I am reposting because I just need the answer to part D now, and was told to post it seperately after getting the answers to the rest of it.)Proof by contrapositive that for x, y ∈ Z, if xy is even then either x or y is even.1. Consider the following boundary value problem: uxy(x,y) = sin(x), x >0, y >0,u(x,0) =f(x), x≥0,u(0,y) =g(y), y≥0.(a) What consistency conditions should f and g satisfy? Solve the equation (assuming the consistency condition of the previous step).
- (!) In the morning section of a calculus course, 2 of the 9 women and 2 of the 10 men receive the grade of A. In the afternoon section, 6 of the 9 women and 9 of the 14 men receive A. Verify that, in each section, a higher proportion of women than of men receive A, but that, in the combined course, a lower proportion of women than of men receive A. Explain!1- Is the following argument valid or invalid? Why? (x) (~Ux v Hx) Ux= x is a unicorn; Hx= x has a horn ---- (Ex) (Ux & Hx)Q.3- Prove that: 5 1 ((,()S < 6+ zsm—H) + = 2cosnf
- The scenario relates to a waiting line at the Dipping star at Six Flags. For the purposes of the next two questions, assume that the Wicked Twister, which was permanently closed in September 2021, has since relocated and re-opened at a different venue in California. Suppose that a waiting line at the Dipping Star at Six Flags follows M/M/1 queue, with unlimited arrivals, and FIFO. Assume that on a busy holiday, visitors to the Dipping Star purchase tickets in person every five minutes on average. Also, assume that the employees at the ticket counters on average serve fifteen customers every hour. What is the expected average time a customer waits in line before it is their turn to purchase tickets? a. 2 minutes b. 3.3 minutes c. 8 minutes d. 16 minutes e. 26.6 minutes On average, how many customers are waiting in line? a. 1.5 b. 1.9 c. 3.2 d. 4.1 e. 3.25 students6. If u=u(y-x/xy,z-x/xz) prove tha x^delu/delx+y^delu/dely+z^delu/delz=0Prove that (f^2)_1 + (f^2)_2 + ⋯ + (f^2)_n = f_n*f_(n+1) when n is a positiveinteger.