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3 years ago

Can someone please help me with this. I'm not good with graphs

Mathematics

1 answer:

Vlad1618 [11]3 years ago

3 0

Answer:

∠BCD = 34°

Step-by-step explanation:

∠FCE + ∠FCA + ∠ACB = 180° ( straight angle ), thus

∠FCE + 90 + 56 = 180, that is

∠FCE + 146 = 180 ( subtract 146 from both sides )

∠FCE = 34°, hence

∠BCD = ∠FCE = 34° ( vertical angles )

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Step-by-step explanation:

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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.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

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Three diagonals can be drawn in a hexagon mmyyy dude.

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Step-by-step explanation:

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