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3 years ago

Determine whether (3, 2) and (2, - 1) are solutions to the equation – 3x + y = - 7.

Mathematics

1 answer:

Leona [35]3 years ago

8 0

Answer:

Step-by-step explanation:

plug in (3,2) to see if it's a solution:

A) does -3(3) + 2 equal -7? yes

B) since 'A' is a solution then 'B' cannot be the answer

C) since (3,2) is a solution then 'C' cannot be the answer

plug in (2,-1) to see if it's a solution:

-3(2) - (-1) equal -7? no, it equals -5

only (3,2) is a solution so the answer is D

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3 years ago

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3 years ago

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Bond [772]

Answer with explanation:

To test the Significance of the population which is Normally Distributed we will use the following Formula Called Z test

$z=\frac{\Bar X - \mu}{\frac{\sigma}{n}}$

$\Bar X =31.1\\\\ \sigma=6.3\\\\ \mu=25\\\\n=15\\\\z=\frac{31.1-25}{\frac{6.3}{\sqrt{15}}}\\\\z=\frac{6.1\times\sqrt{15}}{6.3}\\\\z=\frac{6.1 \times 3.88}{6.3}\\\\z=3.756$

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⇒Significance Level (α)=0.01

We will do Hypothesis testing to check whether population mean is different from 25 at the alpha equals 0.01 level of significance.

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