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3 years ago

Gints

Mathematics

1 answer:

artcher [175]3 years ago

8 0

Answer:

The correct statements are: B and D.

Step-by-step explanation:

Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the variability of the distribution of values.

The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.

Then the standard deviation (S.D.) is given by,

$S.D.=\sqrt{\frac{1}{n-1}\sum\limits^{n}_{i=1} {(x_{i}-\bar x)^{2} }}$

The correct statements are:

B. It is a measure of variability.

D. It is calculated using the mean.

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Answer:

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Step-by-step explanation:

Step 1: Solve

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The sum of the squares of the lengths is 58

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From the question, we have

AB² = (-2-3)² +(7-5)²= 25+4 =29

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Here we can see that,

AB²+BC² = AC²

The sum of the squares of the lengths of two sides (the legs) equals the square length of the third side (hypotenuse).

the sum of the squares of the lengths = AB²+BC² =29+29 = 58

the square of length of the hypotenuse= 58

Pythagoras Theorem:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

To learn more about pythagoras theorem visit: brainly.com/question/343682

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