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4 years ago

What is the distance between A and B? Round your answer to the nearest tenth

Mathematics

2 answers:

UNO [17]4 years ago

6 0

The answer is 6.4. Hope this was helpful!

katrin2010 [14]4 years ago

5 0

Using the two points and the distance formula

(-1,5) (4,1)

Distance = √(4 +1)^2 + (1 -5)^2

Distance = √5^2 + -4^2)

Distance = √25 + 16

Distance = √41

Distance = 6.4

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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

Ellen is excited to learn how to ski. She went to White Peaks Mountain, rented a pair of skis for $45, and took 4 hours of group

Vikentia [17]

Answer:

x=30h

Step-by-step explanation:

First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.

165-45=120

Now you know she paid 120 dollars in total for lessons.

You know she took four hours of lessons, so you divide 120 by 4.

120/4=30

It takes $30 an hour for lessons.

Now you can form an equation.

Since you know it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid

You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.

Hope this helps!

6 0

3 years ago

A miniature golf course has a special group rate. You can pay $20 plus $3 per person when you have a group of 5 or more friends.

Natasha2012 [34]

1 - Dependent Variable

2- 3x + 20 = 35

7 0

3 years ago

Sahir took 1 h 22 min to do his english homework 45 min to do his maths homework, and 10 min to do his urdu. How long did he tak

andre [41]

Answer:

2 hr and 17 minutes

Step-by-step explanation:

add 45 to 10+= 55

55+ 1 hr 22 = 1 hour and 77 minutes which converts to:

2 hour and 17 minutes

good luck!

6 0

3 years ago

Many rare and endangered species live in a unique wetland in Florida called the

Papessa [141]

The Everglades I think

8 0

3 years ago