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3 years ago

(06.01) Solve x + 3y = 9 3x − 3y = −13

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

Slove For X

x= -1

Solve for Y

Y= 10/3

Step-by-step explanation:

SO I did Elimination method

To isolate X and to solve for it

x+3y=9

3x−3y=−13

Add these equations to eliminate y:

4x=−4

Solve for X

x=-1

Now plug x back in to solve for y

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A geologist examines 6 seawater samples for lead concentration. The mean lead concentration for the sample data is 0.903 cc/cubi

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Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean lead concentration of sea water samples

Number of samples. n = 6

Mean, u = 0.903 cc/cubic meter

Standard deviation, s = 0.0566

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

0.903 +/- 1.96 × 0.0566/√6

= 0.903 +/- 1.96 × 0.0566/2.44948974278

= 0.903 +/- 0.045

The lower end of the confidence interval is 0.903 - 0.045 =0.858

The upper end of the confidence interval is 0.903 + 0.045 =0.948

Therefore, with 95% confidence interval, the mean lead concentration of the sea water is between 0.858 cc/cubic meter and 0.948 cc/cubic meter

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Step-by-step explanation:

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