How do you write the number 3 2/4 as a fraction greater than 1

Mathematics

1 answer:

tatyana61 [14]3 years ago

8 0

14/4 > 1 is what it looks like.

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Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5

Ugo [173]

Answer:

$s^2 = 0.01$

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

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

First, we calculate the mean

$\overline x = \frac{\sum x}{n}$

$\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}$

$\overline x = \frac{7.4}{4}$

$\overline x = 1.85$

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$ becomes

$s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}$

$s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}$

$s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}$

$s^2 = \frac{0.03}{3}$

$s^2 = 0.01$

<em>Hence, the variance is 0.01</em>

5 0

2 years ago

A sheet of paper has a perimeter of 39 in. If the width of the paper is 8.5 in. What is the length of the sheet of paper?

natta225 [31]

Perimeter of a rectangle = 2L + 2W

Perimeter = 39
W = 8.5

we plug those into the perimeter equation and get
2L + 2(8.5) = 39

simplify
2L + 17 = 39

subtract 17 from both sides
2L = 22

divide both sides by 2
L = 11

therefore the length of the sheet of paper is 11 in.

7 0

3 years ago

Read 2 more answers

What is the simplified form of x+5/3x+4 + x+4/x+3

alina1380 [7]

$x + \frac{5}{3}x + 4 + x + \frac{4}{x} + 3 \\ x + \frac{5x}{3}+ 4 + x + \frac{4}{x}+ 3 \\ (x + \frac{5x}{3} + x) + (4 + 3) + \frac{4}{x} \\ x = \frac{11x}{3} + 7 + \frac{4}{x}$