Question 1: The fill volume of soft-drink beverage bottles is an important quality characteristic. The volume is measured (approximately) by placing a gauge over the crown and comparing the height of the liquid in the neck of the bottle against a coded scale. On this scale, a reading of zero corresponds to the correct fill height. Six samples with variable size have been analyzed, and the fill heights are shown in Table 1. Height Sample Number X2 X3 X4 9. 2.5 2.5 2.5 2.5 3 0.5 1 4. 1.5 1.5 3. 5. 6. 0.5 1 2.5 2.5 2.5 Table 1. Fill Height 1.5 1.5 Does the process exhibit statistical control? Justified your response. 3. 5232

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: 2/18 – 12/32 + 3V50

A: The solution is given below in the next step:

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A: given letters: A,T,C and Gtotal number of letters = 4

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 10 8/10 + 9 7/12=

A:

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: 6/4 - 2/4

A: Explanation and solutions is given below.....

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A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: find  3/4 + 1/8

A:

Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 20/5+5+2*8

A: Consider the given expression

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A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

Q: Randomly drawing and immediately three red M&Ms in a row from a bag that contains 10 red M&Ms out of…

A: Given: 30 total M&Ms in that 10 red M&Ms.

Q: 1/4 +5/4

A: Solution: The objective is to find the value of the given expression

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A: Given query is to solve the expression.

Q: 42. The term that does not contain x in the expansion of 8x +

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 5 7/12 + 1 3/4 + 4 1/2

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A: Case 1: Let the given number be in mixed fraction notation.

Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

A:

Q: Compute the indicated product.   -1 3   9 2 0   3 9 3

A:

Q: 2/5 +7/12

A: Please see the answer below.

Q: (5/6)3

A: Cube means multiplying three times:   563=56×56×56=5×5×56×6×6=5363=125216

Q: 土4 7

A:

Q: 4) /

A: Using By Parts rule of integration.

Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

A:

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: 1/20+1/10+1/4

A: