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3 years ago

Triangle XYZ is shown on the coordinate plane below.

Mathematics

2 answers:

aleksklad [387]3 years ago

7 0

(4, -3)

Hope this helped :)

sweet [91]3 years ago

3 0

The x coordinate of X and X' has to be the same. The coordinates of X is (4,5) so its distance to y=1 is 5 - 1 = 4. The distance from X' to y=1 must also be 4. The distance from -3 to 1 is 4. So, the answer for the given question above is (4,-3). I hope this helps.

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5k-2(3k + 4) = 5x + 4 help?

vazorg [7]

Use distributive property
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Combine like terms
-k - 8 = 5x + 4
add 8 to both sides
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k = -5x- 12

4 0

3 years ago

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Solve for x: −5|x + 1| = 10

Elena-2011 [213]

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3 years ago

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3 years ago

If you are a dog lover, having your dog with you may reduce your stress level. Does having a friend with you reduce stress? To e

Pepsi [2]

The outlier of a dataset is a data element that is relatively far from the remaining data elements

99 is an outlier of pet group
See attachment for the parallel box plots

(a) Prove that 99 is an outlier for Pet

We have:

Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99

$n = 15$

The quartiles positions are:

$Q_1 = \frac{n + 1}{4}$

$Q_1 = \frac{15 + 1}{4}$

$Q_1 = \frac{16}{4}$

$Q_1 = 4th$

$Q_3 = Q_1 \times 3$

$Q_3 = 4th \times 3$

$Q_3 = 12th$

So, we have:

$Q_1 = 4th$

$Q_3 = 12th$

From the pet group:

The data elements at the 4th and 12th positions are 68 and 79

So, we have:

$Q_1 = 68$

$Q_3= 79$

The lower and upper limits of the outlier are:

$L = Q_1 - 1.5 \times (Q_3 - Q_1)$

$U = Q_3 + 1.5 \times (Q_3 - Q_1)$

So, we have:

$L = 68 - 1.5 \times (79 - 68)$

$L = 51.5$

$U = 79+ 1.5 \times (79 - 68)$

$U = 95.5$

This means that data below 51.5 or above 95.5 are outliers.

Hence, 99 is an outlier because 99 is greater than 95.5

(b) The parallel box plot

The three groups are:

Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99

Erlento: 88 80 80 81 92 87 88 81 82 80 87 92 87 80 82

Alone: 62 70 73 75 77 80 84 84 84 87 87 87 90 91 99

See attachment for the parallel box plots

Read more about box plots and outliers at:

brainly.com/question/14940764

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3 years ago

John folded a length of rope in half and then made a mark on the rope at the fold. Which of the following geometric principles d

abruzzese [7]

Answer:

C. He found the midpoint of a segment.

Step-by-step explanation:

The midpoint is the point that divides a segment into two equal parts. Thus it is located at the middle of the segment.

John used this simple method to determine the midpoint of a segment. For example, let a segment AB = 10 cm be folded in half. A point made at the fold would be at 5 cm, which is the midpoint of the segment.

Thus the appropriate answer to the question is option C.

7 0

3 years ago