Question 1 (short fill-in)

2 answers:

6 0

Using PEMDAS, u know to multiply 4 by 9 first which results in 45. Now comes adding or subtracting. We must work from left to right, therefore we add 45 and 6 first. U get 39 if u do the math. Then we must subtract 3 from 39 so ur answer should be 36.

12345 [234]3 years ago

4 0

You would use PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). This means you would use multiplication first because it is before addition or subtraction. That means you would do 4*9 = 36. So now you have 36 + 6 - 3. Since the next step is adding, add 6 to 36, and you will get 42. Then subtract 3 from 42 to get your final answer of 39. Hope this helps. Let me know if you don't understand something, and feel free to ask more questions.

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The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

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

where, $n$ is the number of values in the data set.

$\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371$

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$