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MrRissso [65]
3 years ago
7

Solve the following equation for D. Be sure to take into account whether a letter is capitalized or not. fD - 7 = q^2

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

Answer:

\displaystyle D=\frac{q^2+7}{f}

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

fD - 7 = q^2

It's required to solve the equation for D. All letters must preserve their capitalization.

We must isolate the letter D by removing from the left side all the terms and coefficients that surround it.

Adding 7:

fD = q^2+7

Dividing by f:

\mathbf{\displaystyle D=\frac{q^2+7}{f}}

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How do you solve what is 30% of $240
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2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati
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Answer:

\sigma = 11.28 --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

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i.e.

\bar x = \frac{\sum fx}{\sum f}

So, we have:

\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}

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Next, calculate the variance using the following formula:

\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

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\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}

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<em>Hence, the standard deviation is approximately 11.28</em>

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