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2 years ago

Simplify. 10 / 7 k + 11 / 7 - 2 k + 2/7 + 2/7 k -6

Mathematics

1 answer:

Nikolay [14]2 years ago

6 0

As written, this is

$\dfrac{10}{7}k+\dfrac{11}{7}-2k+\dfrac{2}{7}+\dfrac{2}{7}k-6=\left(\dfrac{10}{7}-2+\dfrac{2}{7}\right)k+\left(\dfrac{11}{7}+\dfrac{2}{7}-6\right)\\\\=\dfrac{10-14+2}{7}k+\dfrac{11+2-42}{7}\\\\=-\dfrac{2}{7}k-\dfrac{29}{7}$

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Answer: C

Step-by-step explanation:

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3 years ago

A group of 59 randomly selected students have a mean score of 29.5 with a standard

algol [13]

Answer:

$29.5-1.671\frac{5.2}{\sqrt{59}}=28.37$

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And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Step-by-step explanation:

Information given

$\bar X = 29.5$ represent the sample mean

$\mu$ population mean

s= 5.2 represent the sample standard deviation

n=59 represent the sample size

Confidence interval

The confidence interval for the true mean is given by the following formula:

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The degrees of freedom are given by:

$df=n-1=59-1=58$

The Confidence interval is 0.90 or 90%, the significance is $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical value is $t_{\alpha/2}=1.671$

Now we have everything in order to replace into formula (1):

$29.5-1.671\frac{5.2}{\sqrt{59}}=28.37$

$29.5+1.671\frac{5.2}{\sqrt{59}}=30.63$

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

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2 years ago

A movie theater sells adult and child tickets. An

e-lub [12.9K]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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