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3 years ago

2. Simplify the sum or difference. 4 sqrt 2 - 7 sqrt 2

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

Hello :
4√2-7√2= (4-7)√2 = -3√2

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What is the value of the expression below. <br> ||3-7| - |-6+3||

alexdok [17]

Answer:

Step-by-step explanation:

$||3-7| - |-6+3||$

||-4|- |-3||

|4-3|

|1|

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3 years ago

Below are survival times (in days) of 13 guinea pigs that were injected with a bacterial infection in a medical study:

tresset_1 [31]

Outliers are data that are relatively far from other data elements.

The dataset has an outlier and the outlier is 120

The dataset is given as:

91 83 84 79 91 93 95 97 97 120 101 105 98

Sort the dataset in ascending order

79 83 84 91 91 93 95 97 97 98 101 105 120

<h3>The lower quartile (Q1)</h3>

The Q1 is then calculated as:

$Q1 = \frac{N +1}{4}th$

So, we have:

$Q1 = \frac{13 +1}{4}th$

$Q1 = \frac{14}{4}th$

$Q1 = 3.5th$

This is the average of the 3rd and the 4th element

$Q1 = \frac{1}{2} \times (84 + 91)$

$Q1 = 87.5$

<h3>The upper quartile (Q3)</h3>

The Q3 is then calculated as:

$Q3 = 3 \times \frac{N +1}{4}th$

So, we have:

$Q3 = 3 \times \frac{13 +1}{4}th$

$Q3 = 3 \times 3.5th$

$Q3 = 10.5th$

This is the average of the 10th and the 11th element.

$Q_3 =\frac12 \times (98 + 101)$

$Q_3 =99.5$

<h3>The interquartile range (IQR)</h3>

The IQR is then calculated as:

$IQR = Q_3 -Q_1$

$IQR = 99.5 - 87.5$

$IQR = 12$

Also, we have:

$IQR(1.5) = 12 \times 1.5$

$IQR(1.5) = 18$

<h3>The outlier range</h3>

The lower and the upper outlier range are calculated as follows:

$Lower = Q_1 - IQR(1.5)$

$Lower = 87.5- 18$

$Lower = 69.5$

$Upper = Q_3 + IQR(1.5)$

$Upper = 99.5 + 18$

$Upper = 117.5$

120 is greater than 117.5.

Hence, the dataset has an outlier and the outlier is 120

Read more about outliers at:

brainly.com/question/9933184

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2 years ago

How much flooring, in square feet, is needed to cover the floor of the space shown? Enter the measurement only, not the unit.

dalvyx [7]

Answer:

Step-by-step explanation:

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3 years ago

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Jody works at the finish line and gets $36 each day he works plus $1.50 for each pair of shoes he sells. Write a function to rep

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y=1.5x+36 I think this is it :)

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3 years ago

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Write an equation for the table. Use BOTH variables given in the table.

inysia [295]

Answer:

T = 11L

Step-by-step explanation:

T = 11L

T = 11(3)

T = 33

T = 11L

T= 11(6)

T = 66

T = 11L

T = 11(20)

T = 220

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3 years ago