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adoni [48]
3 years ago
7

after one side of a square was enlarged by 3 inches and the other side was enlarged by 3 inches, the area of the shape was doubl

ed. what was the side of the square.
Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

The side of original square was 7.24 inches

Step-by-step explanation:

(x+3)(x+3) =2(x)(x)

x² + 6x + 9 = 2x²

reduce:

x² - 6x - 9 = 0

(x + 1.24)(x - 7.24) = 0

x = 7.24

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Answer:

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Step-by-step explanation:

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4 years ago
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,
tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}

Mean is represented by the following expression:

\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}\text{Mean}=\frac{84}{10}=8.4

Population variance formula looks like this:

\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}

Then, substituting:

\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}

For the standard deviation:

\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}

5 0
1 year ago
Tony can type at a constant rate of 110 words every 2 minutes.
kati45 [8]

Answer:

W = 55T

Step-by-step explanation:

He types 110 / 2 = 55 words every minute. Thus, W = 55T

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