A keen angler kept a record of the weight of each of his last 51 catches of fish. The weights, recorded to the nearest 0-1 kg, are as given in the following table. Weight (kg) 0.0-0.4 0.5-0.9 Frequency 9 12 1-0-1-2 1-3-1-7 1-8-2-1 2-2-3-7 3-8-5-2 8 8 8 4 2 Draw a histogram for the data, and use it to calculate the modal class.

Q: 22] calculate the number of combination and permutation of, 5 distinct objects taken 2 at time?

A:

Q: 9) x² + y² + 12x + 22y + 108 = 0 CX+67² + y +117²=49 CX-47² \ Cy-151²=9 CX-107² + (y +1272²=9 CX-5)…

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Q: ) (30 pts) Use induction to show the – 2" +1 _2"

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Q: Please prove that: (р —q) —>r and p > (q > г) equivalent. Use Equivalent algorithm

A:

Q: find the amount of odd three-digit numbers that can be created. (

A: here given digits are  [0, 1, 2, 3, 4, 5, 6]. so there are total 7 digits . here use counting…

Q: If Z ~ N(0,1), compute P(Z2 < 3)

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Q: Explain the Wronskian Derivation?

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Q: Compute Pearson's r demonminator with the computational formula and use 4 decimal places for all…

A: We have given that data  stress : exam scores:  5             4 6               5 6             2 4…

Q: find the general Solubun of Eguahion by usng (undertmind coefficients melthed)

A:

Q: 4. The conventional algorithm for evaluating a polynomial anx" + an-1x¹ +... + a1x + ao at x = c can…

A: Algorithm Polynomial (c, ao, a1,...,an: real numbers) power = 1; y = a0 ; for i = 1 to n power =…

Q: Q10: The Newton Raphson algorithm for finding the cube root of N is A)를 (x,2 +) B)를 (2x C) (2x+

A: Solution is given below:

Q: Find all 6 permutations of (12)(345).

A: Find all permutations with 12 in the first pair of bracket : (12)(345) (12)(354) (12)(435) (12)(453)…

Q: ). Hence, solve for the system below 7x + 3y = 10 (mod 16) 2x + 5y = 9 (mod 16)

A:

Q: 5. Express the following in the standard representative (a) [4]20 when m = 5 (b) [3]³ when m = 17

A: Part(a): Given, 420 when m=5 420 mod 5=4210 mod 5=42 mod 5 mod 5=16 mod 510 mod 5

Q: An urn contains m number of red balls and n number of white balls. Two balls are selected without…

A: Solution-: We have given there are 'm' number of red balls and 'n' number of white balls We want to…

Q: f in a AP the sum of m tern=ms is equal to n and the sum of n terms is equal to n then prove that…

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Q: (13),0 - (159), using excess-3 codes with 9's complement method.

A:

Q: Suppose X-Neg Bin(r=2 ,beta=3) a) Evaluate p_0 b) Use the recursive formula to obtain p_1 ,p_2 ,p_3

A: X follows a negative binomial distribution.The pmf of negative binomial distribution:

Q: Let A = 1 = {n+ (−1)n 2" | REN}. n Compute sup A and inf A if they exist.

A:

Q: "Prove that the value of x for the 2 × 2 contingency table a b is given by N(ad-bc)?…

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Q: bute 80 identical pencils in a class consisting of 10 boys and 20 girls in such a way that each of…

A: Given:- Number of boys=10 Number of girls = 20 Number of Pencils=80

Q: help please answer in text form with proper workings and explanation for each and every part and…

A: The expected winnings for a single ticket buyer in the raffle, considering the prizes and the ticket…

Q: X2/ Suppose sr=20142} and c-{ {o8} Enumcrate the cLass of all 6-tields Containing and give cce)

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Q: If in a AP the sum of m tern=ms is equal to n and the sum of n terms is equal to n ,then prove that…

A:

Q: 2a)ii

A: Step 1: Step 2:

Q: How many ways are there to distribute r+s identical balls among five different children such that…

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Q: Queshon 6) Compute the arthogonal projection of 8 onto the Line L through -S] and the origin. -6 LS.

A: We have to find the orthogonal projection of v on the line through P and the origin.

Q: [2x-1]=-1 with an ε = .01, implies a 6 = .005 1-0 O True O False

A:

Q: Use the Euclidean Algorithm to find d = gcd (13579,333) and express d as an integral linear…

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Q: The global error in a Runge-Kutta 4th order method is "big O" of 04 O 4h 4 Oh4

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Q: Computek(k+1) k=1 Hint: Use the fact that Ek-1(ak-ak-1)= anao (this is called telescoping) and…

A: The given series .The aim is to compute the sum of the series.

Q: You may need to use the appropriate appendix table to answer this question. Suppose that the average…

A: For country AMean()=3.74standard deviation()=0.25For country BMean()=3.40standard deviation()=0.20

Q: Prove the conjecture bn= 2(bn-1)+1, n>=3 using strong induction. Recurrence is given bn=3bn-1-2bn-2…

A: We shall solve these question by use of induction