Write three equivalent fractions for 60.1% with denominators of 1,000, 100, and 10

Mathematics

1 answer:

enot [183]3 years ago

7 0

Answer:

1. 601/1000

2. 60.1/100

3. 6.01/100

Step-by-step explanation: To get 60.1% to a fraction, divide by 100. You will get 60.1/100, which is the answer with the denominator of 100. For the denominator of 1000, multiply the numerator and denominator by 10.

60.1 x 10 = 601

100 x 10 = 1000

The fraction for the denominator with 1000 is 601/1000. For the denominator of 10, divide the numerator and denominator by 10.

60.1/10 = 6.01

100/10 = 10

The fraction for the denominator with 10 is 6.01/10.

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A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$