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MArishka [77]
3 years ago
5

Which whole numbers does the square root of 73 falls in between?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

Answer:

8 and 9

Step-by-step explanation:

\sqrt{64}  <  \sqrt{73}  <  \sqrt{81}

That equals

8 <  \sqrt{73}  < 9

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Answer:

6

Step-by-step explanation:

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3 years ago
Suppose that x and y vary inversely. write a function that models each inverse variation.
Maurinko [17]

Answer:

y = - \frac{24}{x}

Step-by-step explanation:

Given that the quantities vary inversely then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition x = 4 when y = - 6

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4 years ago
The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra
Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

Where:

s= Sample standart deviation

N= Number of observations in the sample

{\displaystyle \textstyle {\bar {x}}}= Mean value of the sample

and \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} } simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

\bar {x}=\frac{1}{N}  \sum_{i=1}^{N}x_{i}

\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)

\bar {x}=\frac{1}{15}*(3810)

\bar {x}=254

Now, let's calculate the summation:

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160

So, now we can calculate the standart deviation:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}

s=\sqrt[ ]{\frac{2173160}{14}}

s=393.99

The sample standard deviation is 393.99

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