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3 years ago

Can be interpreted as the number of standard deviations a data value is from the mean of all the data values.

1 answer:

5 0

Hello, what you are looking for is the term z-score. z-score is the standardized score that has been developed for statistics to compare data from different scales. By using the mean and standard deviation of the data values, a z-score is calculated and comparisons can be deduced even if the two data sets have different scales.

For example, if a z-score is 1.33, then it is 1.33 standard deviations from the mean. This result is more typical compared to a z-score of 3 meaning that it is 3 standard deviations from the mean.

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Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The l

devlian [24]

Answer:

s = 17units

Step-by-step explanation:

For this problem, we are trying to find a specific unknown side length.

We're actually given some extraneous information (information that is not needed to solve the problem): It isn't necessary to know that BC is 5.

If the side AD with the unknown length is part of a right triangle (the triangle in red in the attached diagram), we can use the Pythagorean Theorem to solve for AD.

It isn't clear if the diagram you were provided gives ∠ABD as a right angle, if it only gives ∠CBD as a right angle, or if it gives both as a right angle. Below, we prove that it doesn't matter, because regardless, both must be right angles.

Is Triangle ABD a "right triangle"?

Since B is between A and C, then the two angles ∠ABD & ∠CBD form a linear pair, and by the linear pair postulate are supplementary. Since they are supplementary, their measures add to 180°. Using the fact that all right angles are 90°, substitution, the subtraction property of equality, arithmetic, the measure of ∠ABD is also 90°, and thus must be a right angle. Thus, based on the given information, both ∠ABD & ∠CBD must be right angles.

Consequently, triangle ABD is a right triangle, by definition (it is a triangle that has a right angle).

Pythagorean Theorem

Since triangle ABD is a right triangle, the Pythagorean Theorem can be applied.

The Pythagorean Theorem states that $a^{2} +b^{2} =c^{2}$ where "c" is the hypotenuse (the side across from the right angle) and "a" and "b" the the lengths of the two other sides (called legs) of the right triangle. (Aside: Because of the commutative property of addition, it doesn't matter which of the two legs' lengths is used for a, and which is used for b. The only thing that is required is that "c" be the length of the hypotenuse)

In our triangle, side AD, with unknown length "s" is the length of our hypotenuse, and sides AB and BD are the two legs. Substituting values into the Pythagorean Theorem equation, we can solve for the unknown "s":

$a^{2} +b^{2} =c^{2}$

$(8)^{2} +(15)^{2} =(s)^{2}$

$64 +225 =s^{2}$

$289 =s^{2}$

Applying the square root property...

$\pm \sqrt{289} =\sqrt{s^{2}}$

$s=17 \text{ or } s=-17$

Final Solution

We discard the negative solution we obtained, since s represents the length of the side of a triangle.

s = 17units

7 0

2 years ago

Incorrect answers will be reported, first correct answer will get brainiest.

Leokris [45]

Answer:

They are not commutative, because f(g(x)) and g(f(x) are not equal.

Step-by-step explanation:

In order for the composition of the functions to be commutative, we must have ...

f(g(x)) ≡ g(f(x))

for all values of x.

Here, we have f(g(x)) = 1 and g(f(x)) = 2. f(g(x)) and g(f(x)) are not equal, so the composition of the functions is not commutative.

3 0

3 years ago

Read 2 more answers

Simplify 4/6+x/3+3/2

Ronch [10]

4/6=2/3
2/3+x/3+3/2
apply rule a/c+-b/c=(a+-b)/c
(2+x)/3+3/2 is your final answer
remove the parenthesis if you want i was just trying to show 2+x over 3

4 0

3 years ago

Read 2 more answers

A pieces of wire was 12.36 centimeters long. Thelma cut the wire into 6 pieces of equal length. What was the length of each piec

Zigmanuir [339]

Answer:

2.06cm

Step-by-step explanation:

Given data

Length of wire= 12.36cm

We are told that it was cut into 6 pieces

Hence, the length of a piece is

=12.36/6

=2.06cm

Therefore, the answer is 2.06cm

3 0

2 years ago

Question Progress

Bess [88]

(x+2)(x+1) = x^2 + x + 2x + 2

simplify it
x^2 + 3x + 2

5 0

2 years ago