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1 year ago

In sweden, vat is at 25%. ella buys a hat in sweden for 50 sek( swedish krona). find the vat paid by ella.

Mathematics

1 answer:

V125BC [204]1 year ago

3 0

If Ella buys a hat in Sweden for 50 SEK with 25% VAT, then the VAT paid by Ella is 12.5 SEK

A Value-Added Tax (VAT) is a consumption tax assessed on the value added in each production stage of a good or service

Given,

The price of hat = 50 SEK

VAT =25%

The amount paid as VAT= $50(\frac{25}{100})$

=12.5 SEK

Hence, If Ella buys a hat in Sweden for 50 SEK with 25% VAT, then the VAT paid by Ella is 12.5 SEK

Learn more about VAT here

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Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sampl

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(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

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$\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}$

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

$x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13$

$x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88$

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So, the table becomes:

$\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}$

Next, calculate the mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{20*9.13 + 38 * 10.88+36*12.63+25*14.38+27*16.13}{20+38+36+25+27}$

$\bar x = \frac{1845.73}{146}$

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Next, the sample variance is:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}$

So, we have:

$\sigma^2 = \frac{20*(9.13-12.63)^2 + 38 * (10.88-12.63)^2 +...........+27 * (16.13 -12.63)^2}{20+38+36+25+27-1}$

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$\sigma^2 = 16.51$

The sample standard deviation is:

$\sigma = \sqrt{\sigma^2}$

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