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3 years ago

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What is the height,h, of the rectangular prism shown below ? Round your answer to the nearest tenth

1 answer:

faust18 [17]3 years ago

5 0

Answer:

3 units

Step-by-step explanation:

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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

Is there a way I can delete this account? I'm leaving brainly

DENIUS [597]

Answer:

You can delete your account by going to your Profile Settings >> Privacy and clicking on the I want to delete my account<em> </em>box. Doing so submits a request for your account to be deleted.

4 0

3 years ago

Read 2 more answers

A square is inscribed in an isosceles right triangle with the length of the leg equal to 2 in. as shown on the figure. Find the

exis [7]

Answer:

4

Step-by-step explanation:

Since the triangle is isosceles, the side of the square is half the length of the side of the triangle, so is 1. The four sides of the square have a total length of 4.

6 0

3 years ago

1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.

Kruka [31]

Answer:

<h2>1. V = 100 in³</h2><h2>2. h = 10 in</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=Bh$

<em>B</em><em> - base area</em>

<em>h</em><em> - height</em>

<em />

1. We have

<em>h = 5in, B = 20 in²</em>.

Substitute:

$V=(5)(20)=100\ in^3$

2. We have

<em>B = 20.7 in², V = 207 in³</em>.

Substitute:

$207=20.7h$ <em>divide both sides by 20.7</em>

$\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in$

4 0

3 years ago

Read 2 more answers

Consider parallelogram ABCD. Choose all of the statements which must be true

Crazy boy [7]

The answers are 1, 2, and 4. Look at the parallelogram's angles to be sure.

5 0

3 years ago

Read 2 more answers