As machines are used over long periods of time, the output product can get off target. Below is the average value of how much off target a product is getting manufactured as a function of machine use. Hours of Machine 30 33 34 35 39 44 45 Use Millimeters 1.10 1.21 1.25 1.23 1.30 1.40 1.42 Off Target What is the standard error of estimate?

Q: Ex. C- Goals Scored by two teams in a Football Match were as: No. of Goals Scored In A Football…

A: For team A:

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A: Permutations and combinations are given.

Q: 50 50 51 7. + 40 39 40 • () - €) (") - () () - () () 7 8. 4 10 9. 2 10 8 8. 8 8. 10. + 2 3 6.

A: We can solve the given problem using concept of fractions.

Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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Q: 2. Find NP. M 8

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Q: Pr('green' | 4 or 6) b) Use a tree diagram and apply the multiplication principle to find the…

A: Conditional Probability : Probability of event A when given B has happened P(A|B)=P(A∩B)P(B)

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Q: Example 7.4.1. If a = (2, -1, 3) and b (1,2, 1), find a x b.

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Q: finD 1) 2) g(s (x) a) p(x) x?-2x+2 b.) g4)==3x t. %3D cl.) s(x) = x-1 4) Cx))

A: Given that px=x2−2x+2, qx=3x+1, rx=x and sx=x−1. 1 We have to find the prx. prx=pxUse…

Q: 30. What is the real part of -? 1+j2 а. 0.75 b. -0.9 c. 0.5 d. 0.4

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Q: NCx) = x² - 2x - 5 MQx) = 2x+3 N of M

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Q: Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). %3D |

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Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: Let 2 -1 1 -4 4 A = 1 2 1 3 2 Find M22 and C22. 6

A: Given matrix is: A=2-11600-4421052132

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Q: 17 3. Evaluate: de (r- 1)(2 + 16)

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Q: III. Determine whether the statement is true or false. (Example: if B+2 10, then 4 37 is FALSE…

A: Given that:                            1. -15&lt;152. 8+3=11 Or, 5 is an even number3. 1=2 and 15 is…

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Q: H.W 1.: Use Cayley-Hamilton to find 4 -1 A' and A Where A = [2 1 1 0 1 0 11 2 ]

A: Find characteristics polynomial and use caylay hamilton theorem

Q: 1. (P16, Page 11,.. ) Use the Method of Proof by Contradiction to prove that 3 ¢ Q. You may use the…

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Q: I. True or False. 1. N is closed under subtraction. 2. Z is closed under division. 3. Vx2 = -x if x…

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Q: Find the rank- 1 approximation of

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Q: 5. A. undefined B. 2 × 2 Consider (a) What is the size of QTP-¹? P= A. -1.5 B. -2 = [1 C. 2 × 4 D. 4…

A: Given: The matrix P=4611 and Q=22341-120 a) Find the size of the matrix QTP-1 b) Find the entry 2,1…

Q: 5. Show that 1.2+2·3+3.4+...+ (n − 1)(n) = (n³ − n)

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Q: 11! 1.) 5!x4!x3! 2.) Р(8, 5) 3.) Р(12, 4)

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A: Let .To find a real number  such that .

Q: Prove that gcd(a + b, a − b) = ged(2a, a − b) = ged(a + b, 2b).

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Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

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Q: 6. The value of f A. + C B. C. D. (4-x² +C 4√4-x² 4√4-x² dx (4-x²) 1.5 +C +C

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Q: 2 Let A = then det(3AT) - 18 -6 -2 II

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Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

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Q: (1+a-c), (c) ₂F, (_n,‚a+n;c;1)=(-1)" !

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Q: Sampling Without Replacement. A simple random sample of size n is to be taken without replacement…

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Q: 3. Show that 1 > 0. 4. Show that if a > b and c < 0, then ac < bc.

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Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

Q: -2 1 2 -1 1 -1 2. LetA= Then find A-1 if it exist. 1

A: