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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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According to the direct inspection, we conclude that the best approximation of the two solutions to the system of <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)

<h3>What is the solution of a nonlinear system formed by two quadratic equations?</h3>

Herein we have two parabolae, that is, polynomials of the form a · x² + b · x + c, that pass through each other twice according to the image attached to this question. We need to estimate the location of the points by visual inspection on the <em>Cartesian</em> plane.

According to the direct inspection, we conclude that the best approximation of the two solutions, that is, the point where the two parabolae intercepts each other, to the system of two <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)

To learn more on quadratic equations: brainly.com/question/17177510

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4 0
1 year ago
If f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(2).
Scilla [17]
F ( x ) = k * x²
f ( 4 ) = 96
96 = k * 4²
96 = 16 k
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k = 6
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Answer: D ) 24
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stiv31 [10]
X = 2/3 makes the equation true.

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7 0
3 years ago
What's the common difference of the following arithmetic sequence?
Firlakuza [10]

Answer:

Step-by-step explanation:

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Take the higher number and subtract the next lower value. It will tell you the difference.

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Use the triangle pictured to calculate the following measurements.
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Perimeter:
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 We have then:
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 Semi-perimeter: 
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 s = P / 2
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 Area: 
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