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3 years ago

Please answer as soon as possible PLEASE

Mathematics

1 answer:

tatuchka [14]3 years ago

7 0

Answer:

x>-5

Step-by-step explanation:

-5(x+7)<-10

divide by -5 (and because we divided by a negative number swap the inequality sign)

x+7>2

x> -5

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Mathematically verify the outlier(s) in the data set using the 1.5 rule.

statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

$Q_1=\dfrac{11+13}{2}$

$Q_1=\dfrac{24}{2}$

$Q_1=12$

And

$Q_3=\dfrac{16+16}{2}$

$Q_3=\dfrac{32}{2}$

$Q_3=16$

The interquartile range is:

$IQR=Q_3-Q_1$

$IQR=16-12$

$IQR=4$

The data values lies outside the interval $[Q_1-1.5IQR,Q_3+1.5IQR]$ are known as outliers.

$[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]$

$[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]$

$[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]$

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0

3 years ago

The perimeter of a patio is 64 feet. The width of the patio is 12 feet and the length of the patio is (x+6) feet. What is the le

Ludmilka [50]

Here's how you do it!

12+12+x+6+x+6=64

36+2x=64

2x=28

x=14

The length is 14 feet!

6 0

3 years ago

Solve (6b^2+5)+(8b-20)

Lisa [10]

The sum of the given expression is 6b^2+8b-15

<h3>Sum of expression</h3>

Given the following expression

(6b^2+5)+(8b-20)

We are to take the sum. On expansion;

6b^2+5 + 8b-20

Collect the like terms

6b^2+8b +5 - 20

6b^2+8b-15

Hence the sum of the given expression is 6b^2+8b-15

Learn more on sum of expression here: brainly.com/question/723406

#SPJ1

7 0

2 years ago

Please help to prove parallelogram.

tino4ka555 [31]

The question requests proof that WV = VR. See the definition of Mathematical proof and the explanation for the proof below.

<h3>What is a mathematical proof?</h3>

Mathematical proof refers to the steps of logical arguments which are given to show that a mathematical statement is true or correct.

<h3>What is the proof that WV = VR?</h3>

Note that SR ║ QT;

Reason: This is given. The image is a parallelogram.

Hence, ∠PSR = ∠WVP
Reason: Alternate angles formed by two parallel lines crossing each other

Hence, SV = PVReason: This is given by the annotation on the image

Therefore: ΔSVR ≅ PVW

Reason: They are formed by two parallel lines crossing each other.

Therefore if ΔSVR ≅ PVW;

Then WV = VR.

QED.

Learn more about proofs at:
brainly.com/question/25927269
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8 0

2 years ago

Simplify the expression (70 points)

spayn [35]

Answer:

-11x +2

Step-by-step explanation:

1. Add:

4x-7 - 15x + 9

4x + 2 - 15x

2. Combine like terms:

4x +2 - 15x

-11x +2

Bye, have a great day/night.

3 0

3 years ago

Read 2 more answers