Let a. b. c.deN and consider the numbers M = 2³ * a² * 7³ * 17 * 378 and N = 2 * 11 * 17¹6 * 37¹. Given that (M.N) = 2 * 37' * 17¹2 and [M. N] 28 11¹0 37 7³ * 13º * 17¹6 determine the values of a. b.e and d.

Q: 11. If an+1 = 2an + 3 and ao = 1, then a7 = O 513 O 509 O 487 496

A: We will find a7.

Q: Perform the indicated operation(s), whenever possible. [2]-[88]~3) and C= 58 Let A = 0 A. O B. OC O…

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Q: Find the number of all ordered 4-tuples of integers that are greater or equal to -3 whose sum is 1.…

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Q: Evaluate 2 O evIn(5) 1 S ○ 1 5 0 In(5) 1 2 dư. (evin (5) – 1)

A: Let's solve given integral.

Q: 1. What integer best represents the net loss in yards if a football team lost 3 yards on each of…

A: Calculate the net loss in yards. This is the integer that best represents the net loss .

Q: = [a b] and B =[2³]. a. Compute AB. b. If AB = 1-5₂ 1. Let A = find the entries of A, i.e. find the…

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Q: Given A = -1 0 22]₁ compute 3A

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Q: Compute (8). O 6720 O 336 O 42 O 56

A: We have to find out the combination of 8 to 5 or 8C5.   The combination formula: C(n, r) =…

Q: n! nP, = %3D (n-r)! to find the value for each expression. 1) Use the formula for Permutations,…

A: Pr=n!n-r!n

Q: d ха H at saxa dxJo *²² +4

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Q: If i = (1, 2, –3) and = (-2,0, 4), then a. Jis А. — 10 В. 10 С. 14 D. – 14 O E. – 12k

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Q: 2a If s. So So rdrdodz = 507, then la| =? -2a

A: Here, the given equation is: ∫-2a2a∫0πa∫0ar dr dθ dz=50π           ...(1) To find the value of |a|.…

Q: alp heve fore, lasie closer together than a and "a and c" oY b and C"

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Q: 11, Find m and n. a. 35-28i = 5m +4ni

A:

Q: Disprove the following statements. (a) If n and m are natural numbers, then nm is composite. (b) For…

A: I have given an answer in step 2.

Q: 4. Suppose that P(A)=0.7 and P(B)= 0.5, and P([AUBY) =0.1. Find a) P(AOB) b) P(A| B) c) P(B|A)

A: Given data,P(A)=0.7P(B)=0.5P(A∪B)' =0.1P(A∪B)=1-P(A∪B)'=1-0.1=0.9

Q: 2. (CLO3) In how many different ways can we arrange the letters HOOKAAHUAAA so that the two O's are…

A: Word: HOOKAAHUAAA

Q: %3D If X-N(50,10), P(X < 60) = ? O 1) 0.841 O 2) 0.159 3) 0.341 O 4) 0.659

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Q: A = 13 ;Prove A2 - 5A = 21

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Q: If X-N(50,10), P(X > 65) = ? O 1) 0.067 O 2) 0.033 3) 0.168 O 4) 0.832

A: The z-score can be calculated by subtracting the population mean from the raw score, or data point…

Q: A and -A can never be symmetric Select one: O True O False

A: See solution below

Q: 1 Given that P(A or B) = =, P(A) = 7' OA. OB. C. OD. 191 504 79 504 65 504 -| 1 21 8 7 and P(A and…

A: Dear student, If you find this solution helpful please upvote ? it. The solution is given below :

Q: We know that now 2 1 + d + d +..... :. Since 2 1 + 2k + Zk +.... and 2K be the n 2₁ = 1 2 1+2k + 2k…

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Q: ) Find A10 and eAt for [1 1 01 A = 0 0 1. Lo 0 1l

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Q: Find the 5 term (n = 5) of the given an =n+n²- 4 OA 27 OB. 2 OC. C 33 26 D.

A: The correct option is D .i.e. 26

Q: 1 Given that P(A or B) = —, P(A) = =, and P(A and B)=, find P(B). O A. 77 360 11 O B. 180 67 OC. 360…

A: Given;P(A or B)=15P(A)=18P(A and B)=19

Q: Suppose that AC B. Show that Bc C AC.

A: Solution

Q: 1. If P(A) = 0.4, P(B) = 0.5 and P(AB) = 0.3, find a) P(AB) and b) P(AUB).

A: It is given that P(A) = 0.4, P(B) = 0.5, P(A ∩ B) = 0.3

Q: For C) Compute the coefficient of determination ( to 3 decimals)  ??

A: Given the data of production Volume and Total cost as shown belowProduction Volume(units)(X)Total…

Q: In N(5,4), answer the following: Write exact answers as whole numbers or decimals (when needed). μ =…

A: Solution

Q: a.) Σ 4 n=0 n=1

A:

Q: 5. Find the 45th term of the pentagonal numbers {1, 4, 12, ...}. Show how you get your answer here:

A: We know, The nth pentagonal number is given by Pn = n(3n-1)/2   Here P1 = 1(3*1-1)/2 = 1 P2 =…