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garik1379 [7]
3 years ago
15

Six times the sum of a number and twelve is forty. Which equation represents the statement above? 6N + 12N = 40 6N + 12 = 40 6(N

+ 12) = 40
Mathematics
2 answers:
Tomtit [17]3 years ago
5 0
The answer is 6(N+12)
This is because it is telling you that the equation is six times a SUM of a number and twelve. So the number and 12 added together are multiplied by 6.
snow_tiger [21]3 years ago
4 0

6(N + 12) = 40

let the number be N then add 12 and multiply by 6 is 6( N + 12 )

6(N + 12) is forty means 6(N + 12 )= 40



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Answer:

The 95% confidence interval for the standard deviation is (0.14, 0.54).

Step-by-step explanation:

The complete data and question is:

Sloth CW Ratios ; {1.5 , 1.09 , 0.98 , 1.42 , 1.49 , 1.25}

The 95% confidence interval for the standard deviation of this data is  < σ <   (two decimals - include the leading zero) .

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Compute the sample standard deviation as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{6}\times 7.73=1.2883\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{6-1}\times 0.2387}=0.2185

The (1 - <em>α</em>)% confidence interval for the variance is:

CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}

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⇒ α = 0.05

The degrees of freedom is,

df = n - 1 = 6 - 1 = 5

Compute the critical values of Chi-square:

\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.025,5}=12.833\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{0.975,5}=0.831

*Use a Chi-square table.

Compute the 95% confidence interval for the variance as follows:

CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}

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8 0
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