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aliya0001 [1]
3 years ago
8

Solve the system by elimination. (Please explain how to do it)

Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Apply to Row 2 : Row 2 + Row 1

2x + 2y + 3z = 0

y + 4z = -3

2x + 3y + 3z = 5

Apply to Row 3: Row 3 - Row 1

2x + 2y + 3z = 0

y + 4z = -3

y = 5

Apply to Row 3: Row 3 - Row 2

2x + 2y + 3z = 0

y + 4z = -3

-4z = 8

Simplify rows

2x + 2y + 3z = 0

y + 4z = -3

z = -2

<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>

Apply to Row 2: Row 2 - 4 Row 3

2x + 2y + 3z = 0

y = 5

z = -2

Apply to Row 1: Row 1 - 3 Row 3

2x + 2y = 6

y = 5

z = -2

Apply to Row 1: Row 1 - 2 Row 2

2x = -4

y = 5

z = 2

Simplify the rows

<u>x = -2</u>

<u>y = 5</u>

<u>z = -2</u>

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Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.093

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You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

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M = T\frac{s}{\sqrt{n}}

M = 2.093\frac{31.61}{\sqrt{20}}

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The margin of error for this estimate is of 14.79 yards per game.

3 0
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Solve, show all four steps.
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