Given the dimensions of a right triangle whose legs have measures of 13 cm and 1 cm, we can use the Pythagorean Theorem to find the measure of the triangle's hypotenuse.

The <u>Pythagorean Theorem</u> states that the squared measure of a right triangle's hypotenuse is equal to the sum of the squared lengths of its legs. In other words:

Pythagorean Theorem: c² = a² + b²

Let c = hypotenuse

a = Leg₁ = 1 cm

b = Leg₂ = 13 cm

Substitute these values into the given formula to find the measure of the hypotenuse, c:

c² = a² + b²

c² = ( 1 )² + (13)²

c² = 1 + 169

c² = 170

Next, take the square root of c² and 170 to isolate c:

$\displaystyle\mathsf{\sqrt{c^2}\:=\:\sqrt{170}}$

c = 13.04 or 13.0 cm

Therefore, the length of the hypotenuse is 13.0 cm.

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What is the mean absolute deviation of the data in Table 3 (Number of Siblings)?

EastWind [94]

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: Idata value -

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