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3 years ago

The data set below has an outlier.

2 answers:

4 0

Data set: <span>2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14
</span>
range: 14 - 2 = 12
median: 12
lower quartile = 10
interquartile range = 4

Data set w/o outlier 2: <span>10, 10, 11, 11, 12, 12, 12, 13, 14, 14

range: 14 - 10 = 4
median: 12
lower quartile: 10.5
interquartile range = 3.5

The value that change the most by removing the outlier is A.) THE RANGE.</span>

Anton [14]3 years ago

4 0

To answer the problem above, we must define what an outlier is. An outlier is a number in a set of data that is smaller or larger than the rest of the data. In this problem, the outlier is 2. To know which value changed the most we solve each with and without the outlier.
A. range: 12(with), 4(without)
B. median: 12 (with), 12 (without)
C. lower quartile: 10.5(with), 11(without)
D. interquartile range: 2(with), 2(without)

The answer is A. range.

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An arithmetic sequence has this recursive formula:

ankoles [38]

Hello!

The recursive rule for an arithmetic sequence: $a_{n} = a_{n-1} + d$ .

The explicit rule for an arithmetic sequence: $a_{n}=a_{1} +d(n-1)$ .

$a_{n}$ is the value you are trying to find, or simply the answer. :)

$d$ is the common difference of the sequence.

$a_{1}$ is the first term of the sequence.

Given, $a_{1} = 8$ and $a_{n}=a_{n-1} - 6$ ...

The common difference is -6, and the first term is 8.

Plug these values into the explicit rule for an arithmetic sequence, you get:

$a_{n}=8+(-6)(n-1)$ .

Therefore, the answer is A, $a_{n}=8+(n-1)(-6)$ .

If you wondered why, $a_{n}=8+(-6)(n-1)$ is equal to $a_{n}=8+(n-1)(-6)$ , the Commutative Property of Multiplication states that when two numbers are multiplied together, the answer is the same regardless of the order of the numbers, which makes $a_{n}=8+(-6)(n-1)$ and $a_{n}=8+(n-1)(-6)$ equal to each other.

4 0

4 years ago

Read 2 more answers

Help plsssssss WILL GIVE BRAINLIEST

ruslelena [56]

Answer: (1,2)

Step-by-step explanation:

I will help you..

Given:

$-2x-5y=-12\\10x-4y=2$

Lets cancel out the x term..

$5(-2x-5y)=-12(5)\\=-10x-25y=-60$

Now our system looks like this:

$-10x-25y=-60\\10x-4y=2$

Add.

$-29y=-58\\y=2$

plug in 2 for y

$-2x-5(2)=-12\\-2x-10=-12\\-2x=-2\\x=1$

Therefore the system is:

$(1, 2)$

If this helped consider marking brainiest.

7 0

2 years ago

Read 2 more answers

(04.01)The Baldwin family walked of a mile in of an hour. What is their unit rate in miles per hour?

laiz [17]

So walked 4/5 mile in a 4/9 h so just use the rule of 3 simple

60 minutes ------ 1 hour
x min. ----------- 4/9 h
--------------------------------
x = 4/9 *60/1 = 240/9 = 26,6 min.

4/5 mile -------in 26,6 min.
1 mile -------- x min.
-----------------------------
x = 1*26,6/(4/5) = 26,6 /(0,8) = 33,25 min.

1 mile ..... 33,25 min.
x miles ----- 60 min.
---------------------------
x = 60/33,25 = 1,8 miles

so their unit rate in miles per hour will be 1,8 miles / hour

hope this will help you

3 0

3 years ago

Read 2 more answers

Please help, need help

DanielleElmas [232]

Answer:

Step-by-step explanation:

ΔXYZ

m∠X = 52°, m∠Y = 106°, m∠Z = 180° - (106° + 52°) = 22°

$\frac{13.2}{6.6}$ = $\frac{17.4}{8.7}$ = 0.5

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3 years ago

A farm has chickens and goats. Each chicken has 2 legs and each goat has 4 legs. The total number of chicken legs and goat legs

Inessa05 [86]

I’m going with 22 because 10x2 is 20 then 10x4 is 40 then 40+20 is 60 so the answer would be 22 because I would also have to add the other 2 to the problem. I’m so so so sorry if I did this wrong

8 0

3 years ago