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Snezhnost [94]
1 year ago
11

The following data points represent the weight (in kilograms) of 5 randomly selected dogs at the pound.

Mathematics
1 answer:
Tomtit [17]1 year ago
8 0

The standard deviation of the data set is 19.3

<h3>How to find the standard deviation of the data set?</h3>

The dataset is given as:

82, 94, 105, 68, 57

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (82 + 94 + 105 + 68 + 57)/5

Evaluate

Mean = 81.2

The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}

So, we have:

SD = √[(82 - 81.2)^2 + (94 - 81.2)^2 + (105 - 81.2)^2 + (68 - 81.2)^2 + (57 - 81.2)^2)/5 - 1]

This gives:

SD = √[1490.8/4]

So, we have:

SD = 19.3

Hence, the standard deviation of the data set is 19.3

Read more about standard deviation at

brainly.com/question/4514629

#SPJ1

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Secant RM intersects secant RN at point R. Find the length of RQ. If necessary, round to the hundredths place.
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Answer:

3 Units

Step-by-step explanation:

Secant RM intersects secant RN at point R.

The secants intersects the circle at points P and Q respectively as seen in the diagram.

To determine the length of RQ, we use the Theorem of Intersecting Secants.

Applying this on the diagram, we have:

RP x RN=RQ X RM

4(4+5)=RQ(RQ+9)

Let the length of RQ=x

4*9=x^2+9x\\36=x^2+9x\\x^2+9x-36=0\\x^2+12x-3x-36=0\\x(x+12)-3(x+12)=0\\(x+12)(x-3)=0\\x+12=0$ x-3=0\\x=-12 or x=3\\Since x cannot be negative$\\x=|RQ|=3

Therefore, length of RQ=3 Units

7 0
2 years ago
Convert the following statement using an "if-then" structure.
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Answer:

  D. If John owns a dog, then he owns a cat

Step-by-step explanation:

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and put those into the structure of the implication: if p, then q.

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