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3 years ago

Type the correct answer in each box. Use numerals instead of words,

Mathematics

1 answer:

xeze [42]3 years ago

8 0

Answer:

x = -6,3,15,-12; y = 11,5,-3,15

Step-by-step explanation:

Domain is the x value, so plugged in the x values into the equation and got the y values or range.

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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

6 0

2 years ago

Evaluate 0! + 1!. 0 1 2

wel

Answer:

Step-by-step explanation:

0! + 1!

= !1 / 1 + 1!

= 1 + 1

= 2

8 0

3 years ago

Read 2 more answers

Express the radical using the imaginary unit i

valentinak56 [21]

Answer:

$=\pm i\sqrt{66}$

Step-by-step explanation:

So we have:

$\pm\sqrt{-66}$

This is the same as:

$=\pm\sqrt{66\cdot-1}$

Separate:

$=\pm\sqrt{66}\cdot\sqrt{-1}$

Replace the second term with i:

$=\pm i\sqrt{66}$

The square root of 66 cannot be simplified.

So, this is our answer :)

7 0

3 years ago

(x + y , x - y) = (4 , 2)

Naddika [18.5K]

Step-by-step explanation:

(x + y , x - y) = (4 , 2)

x+y=4 ------(1)

x-y=2 ------(2)

_____ (adding two equation)

2x=6

x=3

From equation 1

3+y=4

y=1

6 0

2 years ago

A line passes through point (-2, 5) and has a slope of 3. Points A(x 3) and B(-2, y lie on the line.

il63 [147K]

Answer:

x = -8/3

y = 5

Step-by-step explanation:

Finding the equation of the line:

y = 3x +c

Substituting (-2,5) into 'y=3x+c':

5 = -6 + c

c = 11

Hence,

y = 3x + 11

For finding x:

Substituting (x, 3) into 'y = 3x +11':

3 = 3x + 11

3x = -8

x = -8/3

For finding y:

Substituting (-2, y) into 'y = 3x + 11':

y = -6 + 11

y = 5

<em>Hope this helps and be sure to have a wonderful time at Brainly! :D</em>

4 0

2 years ago