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noname [10]
3 years ago
13

What is the third quartile of the set of data shown below 26, 34, 38, 49, 65, 75, 81

Mathematics
2 answers:
GREYUIT [131]3 years ago
6 0
Population size:7

<span>Lower quartile (xL): 34

Median (xm): 49

Upper quartile (xU): 75</span>
lbvjy [14]3 years ago
6 0

Answer:

The third quartile is Q_3=75

Step-by-step explanation:

Given : Data 26, 34, 38, 49, 65, 75, 81  

To find : What is the third quartile of the set of data?

Solution :

First arrange the data from smallest to greatest.

26, 34, 38, 49, 65, 75, 81  

Then find the median of the data,

Since, the data is in odd numbers median is mid term i.e. 49.

To find the third quartile we take the upper half of data

Upper half of data set, 65, 75, 81  

Third quartile is the median of the upper half of the data.

Median of upper half is

Q_3=\frac{(n+1)^{th}}{2}

Q_3=\frac{(3+1)^{th}}{2}

Q_3=2^{th} term

Q_3=75

Therefore, The third quartile is Q_3=75

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Which of the following is the equation of the line that is parallel to y=35x+8 y = 3 5 x + 8 and goes through point (-10,4)?
xeze [42]

Slope-intercept form of a line is y=mx+b.

Where m= slope and b= y-intercept.

First step is to compare the given equation y=35x+8 with the above equation to get the value of m.

After comparing the two equations we will get m=35.

Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.

Now the line is passing through (-10,4).

Point slope form of a line is :

y-y_{1} =m(x-x_{1} )

Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,

y-4=35(x-(-10)

y-4=35(x+10)

y-4=35x+350

y=35x+350+4

y=35x+354.

So, the equation of the line is y=35x+354.

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3 years ago
The information below explains the transformations and translations of a logarithmic function. What is the equation for this fun
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The transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>How to transform the logarithmic function?</h3>

The parent logarithmic function is

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When shifted up by 3 units, we have:

y = log(x + 4) + 3

When compressed vertically by 1/3, we have:

y = 1/3(log(x + 4) + 3)

This gives

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When stretched horizontally by 3, we have:

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Hence, the transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>The transformation of function f(x)</h3>

We have:

f(x) = log[-(x – 5)] + 4

Set the radicand greater than 0

-(x - 5) > 0

Divide by -1

x - 5 < 0

Add 5 to both sides

x < 5 -- this represents the domain

A logarithmic function can output any real number.

So, the range is -\infty < f(x) < \infty

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Rewrite as an equation

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Read more about logarithmic functions at:

brainly.com/question/12708344

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