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Fiesta28 [93]
3 years ago
5

URGENT 30 POINTS! Solve. {y=x−75x+2y=7 Use the substitution method.

Mathematics
2 answers:
NeTakaya3 years ago
6 0
Y = x - 7 ---------- (1)
5x + 2y = 7 ------ (2)

Sub (1) into (2):
5x + 2(x -7) = 7
5x + 2x - 14 = 7
7x - 14 = 7
7x = 7 + 14
7x = 21
x = 3 ----- -sub into (1)
y = x - 7
y = 3 - 7
y = -4

Ans: x = 3, y = -4
Alecsey [184]3 years ago
4 0

Here is your answer, my good sir, or maiden.


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Step-by-step explanation:

Deviation, d = x -y

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\bar{d} = \frac{\sum x-y}{n}

\bar{d} = \frac{(28-6) + (31-27)+(20-26)+(25-25)+(28-29)+(27-32)+(33-33)+(35-34)}{8} \\\bar{d} = -0.625

Standard deviation: SD = \sqrt{\frac{\sum d^{2} - n \bar{d}^2}{n-1}  }

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SD = \sqrt{\frac{63 - 8 *  (-0.625)^2}{8-1}  }

SD =2.93

Under the null hypothesis, the formula for the test statistics will be given by:

t_{s} = \frac{ \bar{d}}{s_{d}/\sqrt{n}  } \\t_{s} = \frac{- 0.625}{2.93/\sqrt{8}  }

t_{s} = -0.6033

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