When doing a T-Test to compare two population means with unknown population standard deviations, the formula for finding the Degrees of Freedom is pretty messy: 2 (4-4) n2 d. f. = %3D 2-1 12-1 n2 You can compute this by hand, or just do the 2-SampTTest on a calculator and select "No" after the Pooled? prompt. Consider the random sample data in this table: Pop 1 28 114 13 2. 23 105 11 Use a calculator to find the following for a left tailed test. Round all answers to three decimals. a. d. f. : b. Т: c. P - value :

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A: X Frequency 0 2 1 6 2 8 3 36 4 50 5 68 6 55 7 36 8 19 9 10 10 4

Q: Calculate the value of x if: 2x - y = 8 x + y = 7 Select one: a. Not Possible - Undefined. O b. 1 C.…

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Q: If x = 2 , y  = 3 . Determine the value of  17x - 15y + 8xy - 10x - 2xy + 16y

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Q: Find R for part A and Part B

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Q: find the implicit formula of 6x3+7y3=13xy

A: Given:

Q: 4. Swin (w - 2) dw

A: The given integral is: I=∫wlnw-2dw   Apply the integration by parts to solve the above integral.…

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Q: Chris owns a food truck and sells brisket sandwiches and plates on Saturdays. This week his sales…

A: Let's denote the number of sandwiches sold as S and the number of plates sold as P.It can set up a…

Q: Solve. Vx +4 = x – 2

A: SOLUTION-

Q: 1.

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Q: Tell the value of each variable: X1 X2 S1 S2 P [1 5 0 8 27 0 6 1 0 7 0 23 90 1 |296 X2 = S1 = S2 = P…

A: Here x1=27, x2=0, s1=90, s2=0, P=0

Q: Multiply and simplify: V15- V3 b. 7V4.5V V&r*y?. V&ry. а. c.

A: The product property of roots is stated as below. For any real numbers, an  and  bn, for any integer…

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: If a = [5,-2,1] and b.= [-1,-3,4], find | -a + 2b |

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Q: 2.) y = -2x - 3

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Q: -4ť? dt

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Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

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Q: Perform the indicated operations when A= A + IA 0-1 2 1

A: We have a 2×2 matrix A  We need to find the matrix A+IA , where I is Identity matrix

Q: Add. 13 21 13 T8 O12 3 6.

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Q: Perform the indicated operations when A= A(I + A) = = -1 2 [4² 0 1

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Q: If A=39 and B=17 what does A+B= ?

A: Given, A=39 and B=17 Find A+B

Q: Could you solve b c d and e?

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Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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Q: If x = 5 and 15 + x ÷ y = 25 , what is the value of y?

A: given x=5 15+xy=25

Q: 4x2 + 4xy + y2

A: Given query is to simplify the expression.

Q: Calculate the value of x if: 4x - 2y = -2 7x + 2y = 35 Select one: O a. - 3 O b. Not Possible -…

A: NOTE: Refresh your page if you can't see any equations. . the first equation is  interchange 2y and…

Q: 4 Given A = 2 -3 Find A?

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Q: 4. Simplify the following. State any restrictions on the variables 4x²y° а. x*y? 3 ху b. 9x? -12x

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Q: If $2001 = 398 and ä2001 = 104, find i.

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Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.

A: First we need to make some equations and the we have to simplify them in order to get a, b and c.

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.