Q: Divide. Show your work 2+√2 2-√3
A: I am attaching image so that you understand each and every step.
Q: 1. Factor each expression. x2 + 10x + 16 y2 + 15y + 36 x2 + 22x + 40
A: Topic- Factorization We are given, x2 + 10x + 16 y2 + 15y + 36 x2 + 22x + 40
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Q: 2. Use synthetic division to find the quotient and the remainder. x5 + 3x4 + 2x³ + 2x² + 3x + 1 x+2
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Q: 1. Factor each expression. c2 + 2c - 73 x2 + 10x - 75 -t2 + 7t + 44
A: Given; 1) c2 + 2c - 73 x2 + 10x - 75 -t2 + 7t + 44
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- 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=3,Y=4).Claim: A of adults would erase all of their personal information online if they could. A software firm survey of 653 randomly selected adults showed that 61% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal informationSuppose that X ∼ Unif(0, 1) and that Y | X = x ∼ N(x, x2). Show that Y /X and X areindependent.
- (1) If U is a neighborhood of x0 and U ⊂ V, The V is a neighborhood of x0. (2) If U1 ...., U2 are neighborhoods of x0, so is ⋂ni-1U1Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 633randomly selected adults showed that 36% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.Show that there c ∈ (−2, 3) such that f(c) = 4. (Don’t Find c).