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dmitriy555 [2]
3 years ago
9

Use the parallelogram below to solve for x x , then find the length of all 4 sides. figure

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0
Can u show me what the parallelogram below was
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What is the value of |4.75|
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Answer:

The absolute value of 4.75 is 4.75. It can’t be a negative, only a positive. On the off chance you’re looking for other alternate forms of 4.75, they would be either 19/4 or 4 3/4.
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A shelf can fit 128 books on it. Each book is 1.4 inches thick. Write and solve an equation to represent the situation where s r
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An article reported the following data on oxygen consumption (mL/kg/min) for a sample of ten firefighters performing a fire-supp
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Answer:

a) Range = 25.6

b) Variance = 48.1446

c) s = 6.9386

d) See below

Step-by-step explanation:

(a)  the sample range

To obtain the sample range, we must <em>sort the data increasingly</em> :

23.7, 26.3, 28.3, 28.7, 29.6, 29.8, 30.1, 31, 33.5, 49.3

Then, find the <em>distance between the largest and the lowest </em>

Range = 49.3 - 23.7 = 25.6

(b) the sample variance s^2 from the definition

In order to find the variance from the definition, we need first the mean. The mean is defined as the average

\bar x=\displaystyle\frac{\displaystyle\sum_{i=1}^{n}x_i}{n}

where the x_i are the values of the data collected and <em>n=10</em> the size of the sample.

So, <em>the mean</em> is

\bar x=31.03

Now, t<em>he variance of the sample </em>is defined as  

s^2=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}{n-1}

and we have that <em>the variance</em> is

s^2=48.1446

(c) the sample standard deviation

The sample standard deviation is nothing but the <em>square root of the variance </em>

s=\sqrt{48.1446}=6.9386

d) s^2  using the shortcut method

The <em>shortcut method</em> figures out the variance without having to compute the mean. The formula is

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

where n=10 is the sample size .

So, using the shortcut method,

s^2=\frac{10*10,061.91-96,286.09}{10*9}=48.1446

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