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Sav [38]
3 years ago
9

Solve by elimination 3×+11y=4,-2×-6y=0

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0
3x + 11y = 4

2x + 6y = 0

I got
15/2, -5/4
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A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in
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Answer:

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

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Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

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s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

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s^2 =0.0217 represent the sample variance

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Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 = 0.0144

Alternative hypothesis: \sigma^2 \neq 0.0144

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\chi^2 =\frac{n-1}{\sigma^2_0} s^2

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

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Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

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3 years ago
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Since:  "i = √-1" ; 

Note that:   " i² = (√-1)² = √-1 * √-1 = √(-1*-1) = √1 = 1 .
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