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3 years ago

Tina solved an equation incorrectly, as shown below:

2 answers:

3 0

$8x = 24 \\ \\ x = \frac{24}{8} \ / \ divide \ by \ 8 \\ \\ x = 3 \ / \ simplify \\ \\$

Seeing the correct steps above, the mistake that Tina made was that she did not divide 24 by 8.

ratelena [41]3 years ago

3 0

Answer: The correct statement is (A) She did not divide 24 by 8.

Step-by-step explanation: Given that Tina solved an equation incorrectly, as shown below:

Step 1: 8x = 24

Step 2: x = 24 − 8

Step 3: x = 16.

We are to select the correct statement that best explains the reason behind Step 2 incorrect.

The correct steps of the solution are

$\textup{Step 1: }8x=24\\\\\textup{Step 2: }x=\dfrac{24}{8}\\\\\textup{Step 1: }x=3.$

Therefore, we see that in step 2, Tina should divide 24 by 8, which she did not do and got the incorrect answer.

Thus, the correct statement is (A). She did not divide 24 by 8.

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Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

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$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

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

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

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4 years ago

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Answer: the median is 6.

Please see the picture attached.

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