(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).

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A: The solution is shown in step-2

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A: To solve equation with three variables, we use elimination method.First we take two equation, and…

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A:

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

A:

Q: Four more than a number equals the sum of Seven and 12.

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Q: Solve each system by elimination. 1) x+2y= 4 -x- 4y =-14

A: We have to solve the system of equation

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A: Solution

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

A:

Q: 2b. Solve the following equations for Va and Vb: (Va - 10) (Va + Vb) Va + = 0 5 10 20 (Vb - 5) (Vb +…

A: Explained below

Q: 28 Solve the equation : + 12y + Jy? + 12x = 33, x + y = 23.

A: Introduction :

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A: In the first equation: The sum of three number is 14. Let the three number be x, y and z. So, the…

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A:

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A: Let the two number be x  and y.According to the given condition.

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A:

Q: why can’t the sum of two numbers never be zero?

A:

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.