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MaRussiya [10]
3 years ago
13

X+2y=6 2x=8-4y how to solve and is it consistent or inconsistent

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0
\left \{ {{x+2y=6} \atop {2x=8-4y}} \right. \\\\ \left \{ {{x+2y=6|*(-2)} \atop {2x+4y=8}} \right.\\\\ \left \{ {{-2x+-4y=-12} \atop {2x+4y=8}} \right.\\+----\\
0 \neq -4\\\\
There\ are\ no\ solutions\\ It\ is\ inconsistent.

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Answer: (29.4, 32.6)

Step-by-step explanation:

From the question, we know that

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We are to construct a 99% confidence interval interval for average amount spent on gift.

The formulae for constructing a 99% confidence interval for population mean is given as

u = x + tα/2 × s/√n...... For upper limit

u = x - tα/2 × s/√n...... For lower limit

tα/2 is the critical value for a 2 tailed test. This value of gotten from a t distribution table by checking the degree of freedom ( 27 - 1 = 26) against the level of significance ( 100% - 99% = 1%).

Hence tα/2 = 2.779

Let us substitute our parameters and solve

For lower limit

u = 31 - 2.779 × 3/√27

u = 31 - 2.779 ( 0.5773)

u = 31 - 1.6045

u = 29.4

For upper limit

u = 31 + 2.779 × 3/√27

u = 31 + 2.779 ( 0.5773)

u = 31 + 1.6045

u = 32.6

Hence the 99% confidence interval for population mean is given as 29.4, 32.6

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