(a) Let X,, N. X be a random sample of size 10 from N(0, o). Find a conslal .... A so that R A(X,-X)/ V has a t-distribution. How many degrees of freedom are associated with the t-distribution? Suppose the mean of the nomal distribution is unknown, explain the effect on R. What changes, if any, would you make on R in order for it to follow a t-distribution? (b) Find P(2y² -32Y +127.968 s0) if Y has a normal distribution with µ-8 and o - 1. (c) Let S' be the variance of a random sample of size 21 from a normal distribution with mea riance 40 Find P6282 < S < 68.34).

Q: 2. Solve the system of equations with the elimination technique. Please show your work. 3x + 2y = 1…

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Q: Solve the system of linear equations: 2x+y=1…

A: Solution: Consider the given system of linear equations : 2x + y = 1      ....(1)3x + 4y = 14…

Q: Is the ordered pair (16, -3) a solution to the following system? Show your work and explain how you…

A: We have to find solution of given system of linear equations.

Q: Solve the system of equations. 9) S-x +8y = -8 6x - 48y %3D 1 = %3D

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Q: solve the system 4x-y+2z=20 2x+y -z=6 x+2y+z=6 the solution is  (type an ordered triple)

A: Given: 4x-y+2z=20 2x+y -z=6 x+2y+z=6

Q: What is the solution to this system: * 2.

A: The two lines intersect at (2,3)  So, the solution of the system is, (2, 3)

Q: Why is it often better to use algebra methods (substitution and elimination) than graphing to find…

A: We have to explain why is it often better to use algebra methods (substitution and elimination) than…

Q: 3) Ethan and Tyler start a business together. They sell headgear and singlets. Ethan sells 3…

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Q: What method would you use to solve the following system of equations? * 5x + y= 8 -3x + 2y=-10 %3D |

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Q: What is the solution to the system? 3x +y = 30 y = 3x X = y =

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Q: y=4x-11 y=x+13

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Q: 2. Solve the system of equation. Also draw a rough sketch to indicate the number of intersectino…

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Q: Solve the system. 3.x+4y-: = 0 x-2y+: = -8 4.x+3y-2: = -4 X = y z =

A: We solve this system of linear equations by Matrix Inversion Method.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.