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RideAnS [48]
3 years ago
7

It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property.

Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

Distributive Property

Step-by-step explanation:

Here is the problem:

2(3 + x)

Here is the answer 6 + 2x

Method to solve it:

a(b+c) = ab + ac

Let's substitute numbers for letters:

2(3 + x)

2*3 = 6

2 * x = 2x

=

6 + 2x

Best Of Luck,

- I.A. -

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Answer: (x+y)-6

Step-by-step explanation:

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DerKrebs [107]

Answer:

1=5

2=1

3= 4

4=3

5=6

6=5

Step-by-step explanation:

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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

  • <em>99 is an outlier of pet group</em>
  • <em>See attachment for the parallel box plots</em>

<u>(a) Prove that 99 is an outlier for Pet</u>

We have:

<em>Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99</em>

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.

<em>Hence, 99 is an outlier because 99 is greater than 95.5</em>

<u>(b) The parallel box plot</u>

The three groups are:

<em>Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99</em>

<em>Erlento: 88 80 80 81 92 87 88 81 82 80 87 92 87 80 82 </em>

<em>Alone: 62 70 73 75 77 80 84 84 84 87 87 87 90 91 99</em>

<em />

See attachment for the parallel box plots

Read more about box plots and outliers at:

brainly.com/question/14940764

5 0
3 years ago
What is the product? (5r + 2)(3r − 4)
Novay_Z [31]
15r^2 - 14r -12 is the correct answer
8 0
3 years ago
Read 2 more answers
Any possible way i can get some help? steps or not.. i’m in need..
igor_vitrenko [27]

Answer:

The answer to your question is:

7.-  y = 6 units

8.-  a = 10.6 in

9.- 41.6 ft

Step-by-step explanation:

7.- That is a right triangle and the hypotenuse is y.

     Use the pythagorean theorem to find y.

        y² = (3√2)² + (3√2)²

         y² = 9(2) + 9(2)

         y² = 18 +18

         y² = 36

        y = 6 units

8.-

  hypotenuse = 15 in

  c² = a² + b²

  a = b  so

 c² = a² + a²

c² = 2a²

c² / 2  = a²

a² = 15² / 2

a² = 112.5

a = 10.6 in

9.-

Use trygonometry to solve this triangle

height = 36 feet

sin Ф = 36 / hypotenuse

hypotenuse = 36 / sin Ф

hypotenuse = 36 / sin60

hypotenuse = 36 / 0.86

hypotenuse = 41.6 ft

4 0
3 years ago
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